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Four-manifolds, geometries and knots
https://cds.cern.ch/record/2253423
The goal of this book is to characterize algebraically the closed 4-manifolds that fibre nontrivially or admit geometries in the sense of Thurston, or which are obtained by surgery on 2-knots, and to provide a reference for the topology of such manifolds and knots. The first chapter is purely algebraic. The rest of the book may be divided into three parts: general results on homotopy and surgery (Chapters 2-6), geometries and geometric decompositions (Chapters 7-13), and 2-knots (Chapters 14-18). In many cases the Euler characteristic, fundamental group and Stiefel-Whitney classes together form a complete system of invariants for the homotopy type of such manifolds, and the possible values of the invariants can be described explicitly. The strongest results are characterizations of manifolds which fibre homotopically over S^1 or an aspherical surface (up to homotopy equivalence) and infrasolvmanifolds (up to homeomorphism). As a consequence 2-knots whose groups are poly-Z are determined up to Gluck reconstruction and change of orientations by their groups alone. This book arose out of two earlier books "2-Knots and their Groups" and "The Algebraic Characterization of Geometric 4-Manifolds", published by Cambridge University Press for the Australian Mathematical Society and for the London Mathematical Society, respectively. About a quarter of the present text has been taken from these books, and I thank Cambridge University Press for their permission to use this material.Hillman, Jonathan ASat, 25 Feb 2017 08:37:31 GMTmath.GT/0212142https://cds.cern.ch/record/2253423['math.GT/0212142']math.GT/0212142Eléments de mathématique: espaces vectoriels topologiques
https://cds.cern.ch/record/2147971
Les éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce livre est le cinquième du traité ; il est consacré aux bases de l'analyse fonctionnelle. Il contient en particulier le théorème de Hahn-Banach et le théorème de Banach-Steinhaus. Il comprend les chapitres: -1. Espaces vectoriels topologiques sur un corps value; -2. Ensembles convexes et espaces localement convexes; -3. Espaces d'applications linéaires continues; -4. La dualité dans les espaces vectoriels topologiques; -5. Espaces hilbertiens (théorie élémentaire). Il contient également des notes historiques. Ce volume a été publié en 1981.Bourbaki, NicolasFri, 22 Apr 2016 07:44:03 GMThttps://cds.cern.ch/record/2147971['']Mémento sur l'énergie
https://cds.cern.ch/record/2033199
Commissariat à l'Energie Atomique. ParisFri, 10 Jul 2015 16:26:00 GMThttps://cds.cern.ch/record/2033199['']An introduction to noncommutative spaces and their geometries: characterization of the shallow subsurface implications for urban infrastructure and environmental assessment
https://cds.cern.ch/record/2023351
These lecture notes are an introduction to several ideas and applications of noncommutative geometry. It starts with a not necessarily commutative but associative algebra which is thought of as the algebra of functions on some 'virtual noncommutative space'. Attention is switched from spaces, which in general do not even exist, to algebras of functions. In these notes, particular emphasis is put on seeing noncommutative spaces as concrete spaces, namely as a collection of points with a topology. The necessary mathematical tools are presented in a systematic and accessible way and include among other things, C'*-algebras, module theory and K-theory, spectral calculus, forms and connection theory. Application to Yang--Mills, fermionic, and gravity models are described. Also the spectral action and the related invariance under automorphism of the algebra is illustrated. Some recent work on noncommutative lattices is presented. These lattices arose as topologically nontrivial approximations to 'contuinuum' topological spaces. They have been used to construct quantum-mechanical and field-theory models, alternative models to lattice gauge theory, with nontrivial topological content. This book will be essential to physicists and mathematicians with an interest in noncommutative geometry and its uses in physics.Landi, GiovanniTue, 09 Jun 2015 14:53:15 GMThep-th/9701078https://cds.cern.ch/record/2023351hepth/9701078Python: pocket reference
https://cds.cern.ch/record/1670689
Updated for both Python 3.4 and 2.7, this convenient pocket guide is the perfect on-the-job quick reference. You’ll find concise, need-to-know information on Python types and statements, special method names, built-in functions and exceptions, commonly used standard library modules, and other prominent Python tools. The handy index lets you pinpoint exactly what you need.Lutz, MarkMon, 24 Mar 2014 14:55:23 GMThttps://cds.cern.ch/record/1670689['']The geometry of dynamical triangulations
https://cds.cern.ch/record/1631385
We discuss the geometry of dynamical triangulations associated with 3-dimensional and 4-dimensional simplicial quantum gravity. We provide analytical expressions for the canonical partition function in both cases, and study its large volume behavior. In the space of the coupling constants of the theory, we characterize the infinite volume line and the associated critical points. The results of this analysis are found to be in excellent agreement with the MonteCarlo simulations of simplicial quantum gravity. In particular, we provide an analytical proof that simply-connected dynamically triangulated 4-manifolds undergo a higher order phase transition at a value of the inverse gravitational coupling given by 1.387, and that the nature of this transition can be concealed by a bystable behavior. A similar analysis in the 3-dimensional case characterizes a value of the critical coupling (3.845) at which hysteresis effects are present.Ambjørn, JanCarfora, MauroMarzuoli, AnnalisaTue, 26 Nov 2013 13:51:38 GMThep-th/9612069https://cds.cern.ch/record/1631385hepth/9612069The $W_{3}$ algebra: modules, semi-infinite cohomology and BV algebras
https://cds.cern.ch/record/1631383
The noncritical D=4 W_3 string is a model of W_3 gravity coupled to two free scalar fields. In this paper we discuss its BRST quantization in direct analogy with that of the D=2 (Virasoro) string. In particular, we calculate the physical spectrum as a problem in BRST cohomology. The corresponding operator cohomology forms a BV-algebra. We model this BV-algebra on that of the polyderivations of a commutative ring on six variables with a quadratic constraint, or equivalently, on the BV-algebra of (polynomial) polyvector fields on the base affine space of SL(3,C). In this paper we attempt to present a complete summary of the progress made in these studies. [...]McCarthy, JimPilch, KrzysztofBouwknegt, PeterTue, 26 Nov 2013 13:51:38 GMThep-th/9509119https://cds.cern.ch/record/1631383hepth/9509119The landscape of theoretical physics a global view: from point particles to the brane world and beyond, in search of a unifying principle
https://cds.cern.ch/record/1622491
This a book is for those who would like to learn something about special and general relativity beyond the usual textbooks, about quantum field theory, the elegant Fock-Schwinger-Stueckelberg proper time formalism, the elegant description of geometry by means of Clifford algebra, about the fascinating possibilities the latter algebra offers in reformulating the existing physical theories, and quantizing them in a natural way. It is shown how Clifford algebra provides much more: it provides room for new physics, with the prospects of resolving certain long standing puzzles. The theory of branes and the idea of how a 3-brane might represent our world is discussed in detail. Much attention is paid to the elegant geometric theory of branes which employs the infinite dimensional space of functions describing branes. Clifford algebra is generalized to the infinite dimensional spaces. In short, this is a book for anybody who would like to explore how the ``theory of everything'' might possibly be formulated. The theory that would describe all the known phenomena, could not be formulated without taking into account ``all'' the theoretical tools which are available. Foundations of those tools and their functional interrelations are described in the book.Pavšič, MatejThu, 31 Oct 2013 09:50:28 GMTgr-qc/0610061https://cds.cern.ch/record/1622491grqc/0610061A Large Hadron Electron Collider at CERN: Report on the Physics and Design Concepts for Machine and Detector
https://cds.cern.ch/record/1456019
The physics programme and the design are described of a new collider for particle and nuclear physics, the Large Hadron Electron Collider (LHeC), in which a newly built electron beam of 60 GeV, up to possibly 140 GeV, energy collides with the intense hadron beams of the LHC. Compared to HERA, the kinematic range covered is extended by a factor of twenty in the negative four-momentum squared, $Q^2$, and in the inverse Bjorken $x$, while with the design luminosity of $10^{33}$ cm$^{-2}$s$^{-1}$ the LHeC is projected to exceed the integrated HERA luminosity by two orders of magnitude. The physics programme is devoted to an exploration of the energy frontier, complementing the LHC and its discovery potential for physics beyond the Standard Model with high precision deep inelastic scattering measurements. These are designed to investigate a variety of fundamental questions in strong and electroweak interactions. The physics programme also includes electron-deuteron and electron-ion scattering in a $(Q^2, 1/x)$ range extended by four orders of magnitude as compared to previous lepton-nucleus DIS experiments for novel investigations of neutron's and nuclear structure, the initial conditions of Quark-Gluon Plasma formation and further quantum chromodynamic phenomena. The LHeC may be realised either as a ring-ring or as a linac-ring collider. Optics and beam dynamics studies are presented for both versions, along with technical design considerations on the interaction region, magnets and further components, together with a design study for a high acceptance detector. Civil engineering and installation studies are presented for the accelerator and the detector. The LHeC can be built within a decade and thus be operated while the LHC runs in its high-luminosity phase. It thus represents a major opportunity for progress in particle physics exploiting the investment made in the LHC. The physics programme and the design are described of a new collider for particle and nuclear physics, the Large Hadron Electron Collider (LHeC), in which a newly built electron beam of 60 GeV, up to possibly 140 GeV, energy collides with the intense hadron beams of the LHC. Compared to HERA, the kinematic range covered is extended by a factor of twenty in the negative four-momentum squared, $Q^2$, and in the inverse Bjorken $x$, while with the design luminosity of $10^{33}$ cm$^{-2}$s$^{-1}$ the LHeC is projected to exceed the integrated HERA luminosity by two orders of magnitude. The physics programme is devoted to an exploration of the energy frontier, complementing the LHC and its discovery potential for physics beyond the Standard Model with high precision deep inelastic scattering measurements. These are designed to investigate a variety of fundamental questions in strong and electroweak interactions. The physics programme also includes electron-deuteron and electron-ion scattering in a $(Q^2, 1/x)$ range extended by four orders of magnitude as compared to previous lepton-nucleus DIS experiments for novel investigations of neutron's and nuclear structure, the initial conditions of Quark-Gluon Plasma formation and further quantum chromodynamic phenomena. The LHeC may be realised either as a ring-ring or as a linac-ring collider. Optics and beam dynamics studies are presented for both versions, along with technical design considerations on the interaction region, magnets and further components, together with a design study for a high acceptance detector. Civil engineering and installation studies are presented for the accelerator and the detector. The LHeC can be built within a decade and thus be operated while the LHC runs in its high-luminosity phase. It thus represents a major opportunity for progress in particle physics exploiting the investment made in the LHC.Adolphsen, C.Akay, A.N.Aksakal, H.Albacete, J.L.Alekhin, S.Allport, P.Andreev, V.Appleby, R.B.Arikan, E.Armesto, N.Azuelos, G.Bai, M.Barber, D.Bartels, J.Behnke, O.Behr, J.Belyaev, A.S.Ben-Zvi, I.Bernard, N.Bertolucci, S.Bettoni, S.Biswal, S.Blumlein, J.Bottcher, H.Bogacz, A.Bracco, C.Brandt, G.Braun, H.Brodsky, S.Buning, O.Bulyak, E.Buniatyan, A.Burkhardt, H.Cakir, I.T.Cakir, O.Calaga, R.Cetinkaya, V.Ciapala, E.Ciftci, R.Ciftci, A.K.Cole, B.A.Collins, J.C.Dadoun, O.Dainton, J.De Roeck, A.d'Enterria, D.Dudarev, A.Eide, A.Enberg, R.Eroglu, E.Eskola, K.J.Favart, L.Fitterer, M.Forte, S.Gaddi, A.Gambino, P.Garcia Morales, H.Gehrmann, T.Gladkikh, P.Glasman, C.Godbole, R.Goddard, B.Greenshaw, T.Guffanti, A.Guzey, V.Gwenlan, C.Han, T.Hao, Y.Haug, F.Herr, W.Herve, A.Holzer, B.J.Ishitsuka, M.Jacquet, M.Jeanneret, B.Jimenez, J.M.Jowett, J.M.Jung, H.Karadeniz, H.Kayran, D.Kilic, A.Kimura, K.Klein, M.Klein, U.Kluge, T.Kocak, F.Korostelev, M.Kosmicki, A.Kostka, P.Kowalski, H.Kramer, G.Kuchler, D.Kuze, M.Lappi, T.Laycock, P.Levichev, E.Levonian, S.Litvinenko, V.N.Lombardi, A.Maeda, J.Marquet, C.Mellado, B.Mess, K.H.Milanese, A.Moch, S.Morozov, I.I.Muttoni, Y.Myers, S.Nandi, S.Nergiz, Z.Newman, P.R.Omori, T.Osborne, J.Paoloni, E.Papaphilippou, Y.Pascaud, C.Paukkunen, H.Perez, E.Pieloni, T.Pilicer, E.Pire, B.Placakyte, R.Polini, A.Ptitsyn, V.Pupkov, Y.Radescu, V.Raychaudhuri, S.Rinol, L.Rohini, R.Rojo, J.Russenschuck, S.Sahin, M.Salgado, C.A.Sampei, K.Sassot, R.Sauvan, E.Schneekloth, U.Schorner-Sadenius, T.Schulte, D.Senol, A.Seryi, A.Sievers, P.Skrinsky, A.N.Smith, W.Spiesberger, H.Stasto, A.M.Strikman, M.Sullivan, M.Sultansoy, S.Sun, Y.P.Surrow, B.Szymanowski, L.Taels, P.Tapan, I.Tasci, T.Tassi, E.Ten Kate, H.Terron, J.Thiesen, H.Thompson, L.Tokushuku, K.Tomas Garcia, R.Tommasini, D.Trbojevic, D.Tsoupas, N.Tuckmantel, J.Turkoz, S.Trinh, T.N.Tywoniuk, K.Unel, G.Urakawa, J.VanMechelen, P.Variola, A.Veness, R.Vivoli, A.Vobly, P.Wagner, J.Wallny, R.Wallon, S.Watt, G.Weiss, C.Wiedemann, U.A.Wienands, U.Willeke, F.Xiao, B.W.Yakimenko, V.Zarnecki, A.F.Zhang, Z.Zimmermann, F.Zlebcik, R.Zomer, F.Abelleira Fernandez, J.L.Thu, 14 Jun 2012 21:56:58 GMT07 Jun 2012SLAC-R-999https://cds.cern.ch/record/1456019R999Lectures on LHC physics
https://cds.cern.ch/record/1405414
When we try to advance from a solid knowledge of field theory to LHC physics we usually encounter a frustrating problem: in particular Higgs physics and QCD techniques appear as a impenetrable granite block of phenomenological know-how, common lores, and historically grown intuition what works and what does not. I hope this lecture can drill a few holes into the rock and put you into a position to digest advanced writeups as well as some first research papers on the topic.Plehn, TilmanThu, 08 Dec 2011 10:35:18 GMTarXiv:0910.4182https://cds.cern.ch/record/1405414['arXiv:0910.4182']arXiv:0910.4182Symbolic Integration I: Transcendental Functions
https://cds.cern.ch/record/1344479
Bronstein, ManuelThu, 14 Apr 2011 05:12:05 GMThttps://cds.cern.ch/record/1344479['']Advances in Multiresolution for Geometric Modelling
https://cds.cern.ch/record/1344478
Dodgson, Neil AFloater, Michael SSabin, Malcolm AThu, 14 Apr 2011 05:12:03 GMThttps://cds.cern.ch/record/1344478['']A first course in bayesian statistical methods
https://cds.cern.ch/record/1343677
Hoff, Peter DMon, 11 Apr 2011 14:29:03 GMThttps://cds.cern.ch/record/1343677['']Forty years of uranium resources, production and demand in perspective: the Red Book retrospective
https://cds.cern.ch/record/1342553
Organisation for Economic Cooperation and Development. ParisWed, 06 Apr 2011 04:00:17 GMThttps://cds.cern.ch/record/1342553['']Secure coding: principles & practices
https://cds.cern.ch/record/1341263
Graff, Mark Glvan Wyk, Kenneth RThu, 31 Mar 2011 05:00:36 GMThttps://cds.cern.ch/record/1341263['']Advanced Qt programming: creating great software with C++ and Qt 4
https://cds.cern.ch/record/1341259
Summerfield, MarkThu, 31 Mar 2011 05:00:36 GMThttps://cds.cern.ch/record/1341259['']Dark energy
https://cds.cern.ch/record/1341258
Yun WangThu, 31 Mar 2011 05:00:36 GMThttps://cds.cern.ch/record/1341258['']Microsoft Office 2011 for Mac
https://cds.cern.ch/record/1339923
Schwartz, SteveThu, 24 Mar 2011 14:28:38 GMThttps://cds.cern.ch/record/1339923['']Optical Imaging Sensors and Systems for Homeland Security Applications
https://cds.cern.ch/record/1339671
Optical and photonic systems and devices have significant potential for homeland security. Optical Imaging Sensors and Systems for Homeland Security Applications presents original and significant technical contributions from leaders of industry, government, and academia in the field of optical and photonic sensors, systems and devices for detection, identification, prevention, sensing, security, verification and anti-counterfeiting. The chapters have recent and technically significant results, ample illustrations, figures, and key references. This book is intended for engineers and scientists in the relevant fields, graduate students, industry managers, university professors, government managers, and policy makers. Advanced Sciences and Technologies for Security Applications focuses on research monographs in the areas of -Recognition and identification (including optical imaging, biometrics, authentication, verification, and smart surveillance systems) -Biological and chemical threat detection (including biosensors, aerosols, materials detection and forensics), and -Secure information systems (including encryption, and optical and photonic systems). The series is intended to give an overview at the highest research level of the frontier of research in the physical sciences. Javidi, BahramThu, 24 Mar 2011 05:01:59 GMThttps://cds.cern.ch/record/1339671['']Spacetime, Geometry and Gravitation
https://cds.cern.ch/record/1339670
This introductory textbook on the general theory of relativity presents a solid foundation for those who want to learn about relativity. The subject is presented in a physically intuitive, but mathematically rigorous style. The topic of relativity is covered in a broad and deep manner. Besides, the aim is that after reading the book a student should not feel discouraged when she opens advanced texts on general relativity for further reading. The book consists of three parts: An introduction to the general theory of relativity. Geometrical mathematical background material. Topics that include the action principle, weak gravitational fields and gravitational waves, Schwarzschild and Kerr solution, and the Friedman equation in cosmology. The book is suitable for advanced graduates and graduates, but also for established researchers wishing to be educated about the field.Sharan, PankajThu, 24 Mar 2011 05:01:59 GMThttps://cds.cern.ch/record/1339670['']Ultrahigh-Speed Optical Transmission Technology
https://cds.cern.ch/record/1339669
Ultrahigh-speed optical transmission technology is a key technology for increasing the communication capacity. In optical fibre networks, the number of wavelength channels and the bit rate per wavelength channel, i.e. the TDM (Time Division Multiplexing) bit rate, determine the transmission capacity. Currently, TDM bit rates of more than 40 Gbit/s require optical signal processing (Optical Time Division Multiplexing, OTDM). OTDM bit rates of up to 1.2 Tbit/s have already been reported. The devices developed for ultrahigh-speed optical transmission are not limited to communication applications only. They are key devices for high-speed optical signal processing, i.e. monitoring, measurement and control, and will thus give a wide technological basis for innovative science and technology. All these aspects of ultrahigh-speed optical transmission technology are described in detail in this book.Weber, Hans-GeorgNakazawa, MasatakaThu, 24 Mar 2011 05:01:59 GMThttps://cds.cern.ch/record/1339669['']The Sun Recorded Through History: Scientific Data Extracted from Historical Documents
https://cds.cern.ch/record/1339668
The Sun Recorded Through History is a text that reconstructs past solar activity based on information from historical documents, complementing studies using other techniques. Historical accounts describing phenomena related to solar activity, such as aurorae, sunspots, and corona observed during solar eclipses can be used as a proxy of solar activity in the past. These descriptions are reviewed, on the one hand providing primary material for the history of astronomy and, on the other, verifying or refuting current ideas concerning the time variability of the Sun on the scale of centuries. Documents predating the discovery of photography (around 1840) that contain information on these topics are highlighted, but modern drawings are also included. The lower temporal limit of study is set by the archaeoastronomy of prehistoric sources. In addition, the necessary background on the Sun is provided, with special emphasis on observing techniques and the influences of telescopes and the Earth's atmosphere on the data obtained from solar observations. This book contains over two hundred figures, many of which are reproductions of historical documents and hand drawings. It is an essential resource on the evolution of solar observations and will be of interest to students and researchers in solar physics, as well as astronomers and historians of science.Vázquez, MVaquero, J.MThu, 24 Mar 2011 05:01:59 GMThttps://cds.cern.ch/record/1339668['']Econophysics of Markets and Business Networks: Proceedings of the Econophys-Kolkata III
https://cds.cern.ch/record/1339666
Econophysicists have recently been quite successful in modelling and analysing various financial systems like trading, banking, stock and other markets. The statistical behaviour of the underlying networks in these systems have also been identified and characterised recently. This book reviews the current econophysics researches in the structure and functioning of these complex financial network systems. Leading researchers in the respective fields will report on their recent researches and review on the contemporary developments. The book will also include the comments and debates on the latest issues arising out of these.Chatterjee, ArnabChakrabarti, Bikas KThu, 24 Mar 2011 05:01:59 GMThttps://cds.cern.ch/record/1339666['']Magnetism: Materials and Applications
https://cds.cern.ch/record/1339665
This book treats permanent magnet (hard) materials, magnetically soft materials for low-frequency applications and for high-frequency electronics, magnetostrictive materials, superconductors, magnetic-thin films and multilayers, and ferrofluids. Chapters are dedicated to magnetic recording, the role of magnetism in magnetic resonance imaging (MRI), and instrumentation for magnetic measurements. Trémolet de Lacheisserie, ÉtienneGignoux, DamienSchlenker, MichelThu, 24 Mar 2011 05:01:59 GMThttps://cds.cern.ch/record/1339665['']Sprites, Elves and Intense Lightning Discharges
https://cds.cern.ch/record/1339663
Particularly intense lightning discharges can produce transient luminous events above thunderclouds, termed sprites, elves and jets. These short lived optical emissions in the mesosphere can reach from the tops of thunderclouds up to the ionosphere; they provide direct evidence of coupling from the lower atmosphere to the upper atmosphere. Sprites are arguably the most dramatic recent discovery in solar-terrestrial physics. Shortly after the first ground based video recordings of sprites, observations on board the Space Shuttle detected sprites and elves occurring all around the world. These reports led to detailed sprite observations in North America, South America, Australia, Japan, and Europe. Subsequently, sprites were detected from other space platforms such as the International Space Station and the ROCSAT satellite. During the past 15 years, more than 200 contributions on sprites have been published in the scientific literature to document this rapidly evolving new research area.Füllekrug, MartinMareev, Eugene ARycroft, Michael JThu, 24 Mar 2011 05:01:59 GMThttps://cds.cern.ch/record/1339663['']