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Biblioteca

MARC Lista (tabellare)
100 years of gravity and accelerated frames [[electronic resource] ] : the deepest insights of Einstein and Yang-Mills / / editors, Jong-Ping Hsu, Dana Fine
100 years of gravity and accelerated frames [[electronic resource] ] : the deepest insights of Einstein and Yang-Mills / / editors, Jong-Ping Hsu, Dana Fine
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ ; ; London, : World Scientific, c2005
Descrizione fisica 1 online resource (662 pages)
Disciplina 530.11
Altri autori (Persone) HsuJ. P (Jong-Ping)
FineDana
Collana Advanced series on theoretical physical science
Soggetto topico Gravitation
Relativity (Physics)
Einstein field equations
Yang-Mills theory
Soggetto genere / forma Electronic books.
ISBN 1-281-90579-8
9786611905798
981-270-340-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Remarks on the Development of the Gravitational and Yang-Mills Fields, and Accelerated Frames -- The Dawn of Gravitation -- Einstein's Deepest Insight and Its Early lmpacts -- The Scalar-Tensor Theory of Gravity -- Yang-Mills' Deepest Insight and Its Relation to Gravity -- Accelerated Frames: Generalizing the Lorentz Transformations -- Quantum Gravity and 'Ghosts -- Gauge Theories of Gravity -- Alternate Approaches to Gravity: Roads Less Traveled By -- Experimental Tests of Gravitational Theories -- Other Perspectives.
Record Nr. UNINA-9910450669503321
Singapore ; ; Hackensack, NJ ; ; London, : World Scientific, c2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
100 years of gravity and accelerated frames [[electronic resource] ] : the deepest insights of Einstein and Yang-Mills / / editors, Jong-Ping Hsu, Dana Fine
100 years of gravity and accelerated frames [[electronic resource] ] : the deepest insights of Einstein and Yang-Mills / / editors, Jong-Ping Hsu, Dana Fine
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ ; ; London, : World Scientific, c2005
Descrizione fisica 1 online resource (662 pages)
Disciplina 530.11
Altri autori (Persone) HsuJ. P (Jong-Ping)
FineDana
Collana Advanced series on theoretical physical science
Soggetto topico Gravitation
Relativity (Physics)
Einstein field equations
Yang-Mills theory
ISBN 1-281-90579-8
9786611905798
981-270-340-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Remarks on the Development of the Gravitational and Yang-Mills Fields, and Accelerated Frames -- The Dawn of Gravitation -- Einstein's Deepest Insight and Its Early lmpacts -- The Scalar-Tensor Theory of Gravity -- Yang-Mills' Deepest Insight and Its Relation to Gravity -- Accelerated Frames: Generalizing the Lorentz Transformations -- Quantum Gravity and 'Ghosts -- Gauge Theories of Gravity -- Alternate Approaches to Gravity: Roads Less Traveled By -- Experimental Tests of Gravitational Theories -- Other Perspectives.
Record Nr. UNINA-9910783925803321
Singapore ; ; Hackensack, NJ ; ; London, : World Scientific, c2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
100 years of gravity and accelerated frames [[electronic resource] ] : the deepest insights of Einstein and Yang-Mills / / editors, Jong-Ping Hsu, Dana Fine
100 years of gravity and accelerated frames [[electronic resource] ] : the deepest insights of Einstein and Yang-Mills / / editors, Jong-Ping Hsu, Dana Fine
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ ; ; London, : World Scientific, c2005
Descrizione fisica 1 online resource (662 pages)
Disciplina 530.11
Altri autori (Persone) HsuJ. P (Jong-Ping)
FineDana
Collana Advanced series on theoretical physical science
Soggetto topico Gravitation
Relativity (Physics)
Einstein field equations
Yang-Mills theory
ISBN 1-281-90579-8
9786611905798
981-270-340-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Remarks on the Development of the Gravitational and Yang-Mills Fields, and Accelerated Frames -- The Dawn of Gravitation -- Einstein's Deepest Insight and Its Early lmpacts -- The Scalar-Tensor Theory of Gravity -- Yang-Mills' Deepest Insight and Its Relation to Gravity -- Accelerated Frames: Generalizing the Lorentz Transformations -- Quantum Gravity and 'Ghosts -- Gauge Theories of Gravity -- Alternate Approaches to Gravity: Roads Less Traveled By -- Experimental Tests of Gravitational Theories -- Other Perspectives.
Record Nr. UNINA-9910817989603321
Singapore ; ; Hackensack, NJ ; ; London, : World Scientific, c2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
50 years of Yang-Mills theory [[electronic resource] /] / edited by Gerardus 't Hooft
50 years of Yang-Mills theory [[electronic resource] /] / edited by Gerardus 't Hooft
Pubbl/distr/stampa Hackensack, NJ, : World Scientific, 2005
Descrizione fisica 1 online resource (498 p.)
Disciplina 530.14/35
Altri autori (Persone) HooftG. 't
Soggetto topico Yang-Mills theory
Quantum field theory
Soggetto genere / forma Electronic books.
ISBN 1-281-34783-3
9786611347833
981-256-714-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; CONTENTS; Introduction; Quantizing Gauge Field Theories; Ghosts for Physicists; Breaking the Symmetry; Towards the Standard Model; Renormalization; Anomalies; Asymptotic Freedom; Magnetic Monopoles; Quark Confinement and Strings; Fixing in Gauge Condition Non-Perturbatively; The Lattice; Fermions on the Lattice; Confrontation with Experiment; Supersymmetry and Supergravity; Physics of the 21st Century
Altri titoli varianti Fifty years of Yang-Mills theory
Record Nr. UNINA-9910450437303321
Hackensack, NJ, : World Scientific, 2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
50 years of Yang-Mills theory [[electronic resource] /] / edited by Gerardus 't Hooft
50 years of Yang-Mills theory [[electronic resource] /] / edited by Gerardus 't Hooft
Pubbl/distr/stampa Hackensack, NJ, : World Scientific, 2005
Descrizione fisica 1 online resource (498 p.)
Disciplina 530.14/35
Altri autori (Persone) HooftG. 't
Soggetto topico Yang-Mills theory
Quantum field theory
ISBN 1-281-34783-3
9786611347833
981-256-714-3
Classificazione 33.01
33.23
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; CONTENTS; Introduction; Quantizing Gauge Field Theories; Ghosts for Physicists; Breaking the Symmetry; Towards the Standard Model; Renormalization; Anomalies; Asymptotic Freedom; Magnetic Monopoles; Quark Confinement and Strings; Fixing in Gauge Condition Non-Perturbatively; The Lattice; Fermions on the Lattice; Confrontation with Experiment; Supersymmetry and Supergravity; Physics of the 21st Century
Altri titoli varianti Fifty years of Yang-Mills theory
Record Nr. UNINA-9910783722503321
Hackensack, NJ, : World Scientific, 2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
50 years of Yang-Mills theory [[electronic resource] /] / edited by Gerardus 't Hooft
50 years of Yang-Mills theory [[electronic resource] /] / edited by Gerardus 't Hooft
Pubbl/distr/stampa Hackensack, NJ, : World Scientific, 2005
Descrizione fisica 1 online resource (498 p.)
Disciplina 530.14/35
Altri autori (Persone) HooftG. 't
Soggetto topico Yang-Mills theory
Quantum field theory
ISBN 1-281-34783-3
9786611347833
981-256-714-3
Classificazione 33.01
33.23
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; CONTENTS; Introduction; Quantizing Gauge Field Theories; Ghosts for Physicists; Breaking the Symmetry; Towards the Standard Model; Renormalization; Anomalies; Asymptotic Freedom; Magnetic Monopoles; Quark Confinement and Strings; Fixing in Gauge Condition Non-Perturbatively; The Lattice; Fermions on the Lattice; Confrontation with Experiment; Supersymmetry and Supergravity; Physics of the 21st Century
Altri titoli varianti Fifty years of Yang-Mills theory
Record Nr. UNINA-9910813620403321
Hackensack, NJ, : World Scientific, 2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Distribution of energy momentum tensor around static charges in lattice simulations and an effective model / / Ryosuke Yanagihara
Distribution of energy momentum tensor around static charges in lattice simulations and an effective model / / Ryosuke Yanagihara
Autore Yanagihara Ryosuke
Pubbl/distr/stampa Gateway East, Singapore : , : Springer, , [2021]
Descrizione fisica 1 online resource (170 pages)
Disciplina 530.143
Collana Springer Theses
Soggetto topico Yang-Mills theory
Quantum chromodynamics
Lattice gauge theories
ISBN 981-16-6234-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Supervisors' Foreword -- Preface -- Acknowledgements -- Contents -- 1 Introduction -- 1.1 Quantum Chromodynamics -- 1.1.1 Asymptotic Freedom -- 1.1.2 Chiral Symmetry -- 1.1.3 Confinement -- 1.2 Flux Tube -- 1.2.1 Dual Abelian-Higgs Model -- 1.2.2 Dynamics of Strings -- 1.2.3 Lattice Approach -- 1.3 Phase Transition and Exploration of Deconfined Phase -- 1.4 Purpose -- 1.4.1 Lattice Study -- 1.4.2 Effective Model -- 1.5 Organization -- References -- 2 Energy Momentum Tensor -- 2.1 Derivation and Properties of Energy Momentum Tensor -- 2.1.1 Derivation and Properties -- 2.1.2 Physical Meanings -- 2.1.3 Example: Energy Momentum Tensor in Pure Gauge Theory -- 2.2 Energy Momentum Tensor in Maxwell Theory -- 2.2.1 Maxwell Equations and Classical System -- 2.2.2 Energy Conservation -- 2.2.3 Momentum Conservation -- 2.2.4 Maxwell Stress and Coulomb Force -- 2.2.5 Stress Distribution on Source Plane -- References -- 3 Lattice Field Theory -- 3.1 Feynman Path Integral -- 3.2 Lattice Regularization -- 3.2.1 Simple Example -- 3.2.2 Free Boson Field -- 3.2.3 Free Fermion Field -- 3.3 Lattice Gauge Theory -- 3.3.1 Gauge Principle and Gauge Field -- 3.3.2 Link Variable -- 3.3.3 Path Integral -- 3.3.4 Non-Abelian Gauge Theory on the Lattice -- 3.4 Gauge-Invariant Quantity on the Lattice -- 3.4.1 Wilson Loop -- 3.4.2 Polyakov Loop -- References -- 4 Yang-Mills Gradient Flow and Energy Momentum Tensor -- 4.1 Quantum Theory of Yang-Mills Theory -- 4.1.1 Action -- 4.1.2 Quantization -- 4.1.3 One-Loop Divergences -- 4.1.4 Renormalization -- 4.2 Introduction to Gradient Flow -- 4.2.1 Idea of Yang-Mills Gradient Flow -- 4.2.2 Perturbative Expansion of Gradient Flow -- 4.2.3 Example: Two-Point Function of Flowed Gauge Field -- 4.3 Proof of Renormalizability of Gradient Flow -- 4.3.1 (D+1)-Dimensional Field Theory.
4.3.2 BRS Invariance and WT Identity of (D+1)-Dimensional System -- 4.3.3 Proof of Renormalizability -- 4.4 Application to Energy Momentum Tensor -- 4.4.1 Small Flow Time Expansion -- 4.4.2 Renormalization Group Equation and Expansion Coefficients -- 4.4.3 Energy Momentum Tensor on the Lattice -- 4.5 Comments on Fermions -- References -- 5 Distribution of Energy Momentum Tensor around Single Static Quark in Deconfined Phase of SU(3) Yang-Mills Theory -- 5.1 EMT around a Static Quark in SU(3) Yang-Mills Theory on the Lattice -- 5.1.1 Correlation -- 5.1.2 Spherical Coordinate -- 5.2 Lattice Setup -- 5.2.1 Gauge Configurations -- 5.2.2 Discretization Effect -- 5.2.3 Double Extrapolation -- 5.3 Results of EMT Distributions -- 5.3.1 Channel Dependence -- 5.3.2 Temperature Dependence -- References -- 6 Distribution of Energy Momentum Tensor around Static Quark-Anti-Quark in Vacuum of SU(3) Yang-Mills Theory -- 6.1 Wilson Loop and QbarQ Potential -- 6.1.1 QbarQ Potential -- 6.1.2 Determination of NAPE -- 6.2 Distribution of Energy Momentum Tensor around QbarQ -- 6.2.1 Correlation -- 6.2.2 Cylindrical Coordinate -- 6.3 Setup -- 6.4 EMT Distribution on Source Plane -- 6.5 EMT Distribution on Mid-Plane -- 6.5.1 Double Extrapolation -- 6.5.2 EMT Distribution on Mid-Plane -- References -- 7 Distribution of Energy Momentum Tensor around Magnetic Vortex in Abelian-Higgs Model -- 7.1 Stress Tensor and Momentum Conservation in Cylindrical Coordinate -- 7.2 Abelian-Higgs Model -- 7.2.1 Model -- 7.2.2 Energy Momentum Tensor in Cylindrical Coordinate System -- 7.3 Magnetic Vortex -- 7.3.1 Magnetic Vortex with Finite Length -- 7.3.2 Infinitely Long Vortex -- 7.3.3 Physical Units -- 7.3.4 Details of Numerical Analysis -- 7.4 Numerical Results -- 7.4.1 Infinitely Long Vortex -- 7.4.2 Finite-Length Flux Tube -- References -- 8 Summary and Outlook -- References.
Appendix A Improved Estimator -- Appendix B Tree-Level Improvement of Lattice Observables -- Appendix C Leading-Order Perturbative Analysis of EMT around Single Static Charge -- Appendix D Smearing Method -- D.1 SU(N) Projection -- D.2 APE Smearing -- Appendix E Analytic Properties of Abelian-Higgs Model.
Record Nr. UNISA-996466847303316
Yanagihara Ryosuke  
Gateway East, Singapore : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Distribution of energy momentum tensor around static charges in lattice simulations and an effective model / / Ryosuke Yanagihara
Distribution of energy momentum tensor around static charges in lattice simulations and an effective model / / Ryosuke Yanagihara
Autore Yanagihara Ryosuke
Pubbl/distr/stampa Gateway East, Singapore : , : Springer, , [2021]
Descrizione fisica 1 online resource (170 pages)
Disciplina 530.143
Collana Springer Theses
Soggetto topico Yang-Mills theory
Quantum chromodynamics
Lattice gauge theories
ISBN 981-16-6234-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Supervisors' Foreword -- Preface -- Acknowledgements -- Contents -- 1 Introduction -- 1.1 Quantum Chromodynamics -- 1.1.1 Asymptotic Freedom -- 1.1.2 Chiral Symmetry -- 1.1.3 Confinement -- 1.2 Flux Tube -- 1.2.1 Dual Abelian-Higgs Model -- 1.2.2 Dynamics of Strings -- 1.2.3 Lattice Approach -- 1.3 Phase Transition and Exploration of Deconfined Phase -- 1.4 Purpose -- 1.4.1 Lattice Study -- 1.4.2 Effective Model -- 1.5 Organization -- References -- 2 Energy Momentum Tensor -- 2.1 Derivation and Properties of Energy Momentum Tensor -- 2.1.1 Derivation and Properties -- 2.1.2 Physical Meanings -- 2.1.3 Example: Energy Momentum Tensor in Pure Gauge Theory -- 2.2 Energy Momentum Tensor in Maxwell Theory -- 2.2.1 Maxwell Equations and Classical System -- 2.2.2 Energy Conservation -- 2.2.3 Momentum Conservation -- 2.2.4 Maxwell Stress and Coulomb Force -- 2.2.5 Stress Distribution on Source Plane -- References -- 3 Lattice Field Theory -- 3.1 Feynman Path Integral -- 3.2 Lattice Regularization -- 3.2.1 Simple Example -- 3.2.2 Free Boson Field -- 3.2.3 Free Fermion Field -- 3.3 Lattice Gauge Theory -- 3.3.1 Gauge Principle and Gauge Field -- 3.3.2 Link Variable -- 3.3.3 Path Integral -- 3.3.4 Non-Abelian Gauge Theory on the Lattice -- 3.4 Gauge-Invariant Quantity on the Lattice -- 3.4.1 Wilson Loop -- 3.4.2 Polyakov Loop -- References -- 4 Yang-Mills Gradient Flow and Energy Momentum Tensor -- 4.1 Quantum Theory of Yang-Mills Theory -- 4.1.1 Action -- 4.1.2 Quantization -- 4.1.3 One-Loop Divergences -- 4.1.4 Renormalization -- 4.2 Introduction to Gradient Flow -- 4.2.1 Idea of Yang-Mills Gradient Flow -- 4.2.2 Perturbative Expansion of Gradient Flow -- 4.2.3 Example: Two-Point Function of Flowed Gauge Field -- 4.3 Proof of Renormalizability of Gradient Flow -- 4.3.1 (D+1)-Dimensional Field Theory.
4.3.2 BRS Invariance and WT Identity of (D+1)-Dimensional System -- 4.3.3 Proof of Renormalizability -- 4.4 Application to Energy Momentum Tensor -- 4.4.1 Small Flow Time Expansion -- 4.4.2 Renormalization Group Equation and Expansion Coefficients -- 4.4.3 Energy Momentum Tensor on the Lattice -- 4.5 Comments on Fermions -- References -- 5 Distribution of Energy Momentum Tensor around Single Static Quark in Deconfined Phase of SU(3) Yang-Mills Theory -- 5.1 EMT around a Static Quark in SU(3) Yang-Mills Theory on the Lattice -- 5.1.1 Correlation -- 5.1.2 Spherical Coordinate -- 5.2 Lattice Setup -- 5.2.1 Gauge Configurations -- 5.2.2 Discretization Effect -- 5.2.3 Double Extrapolation -- 5.3 Results of EMT Distributions -- 5.3.1 Channel Dependence -- 5.3.2 Temperature Dependence -- References -- 6 Distribution of Energy Momentum Tensor around Static Quark-Anti-Quark in Vacuum of SU(3) Yang-Mills Theory -- 6.1 Wilson Loop and QbarQ Potential -- 6.1.1 QbarQ Potential -- 6.1.2 Determination of NAPE -- 6.2 Distribution of Energy Momentum Tensor around QbarQ -- 6.2.1 Correlation -- 6.2.2 Cylindrical Coordinate -- 6.3 Setup -- 6.4 EMT Distribution on Source Plane -- 6.5 EMT Distribution on Mid-Plane -- 6.5.1 Double Extrapolation -- 6.5.2 EMT Distribution on Mid-Plane -- References -- 7 Distribution of Energy Momentum Tensor around Magnetic Vortex in Abelian-Higgs Model -- 7.1 Stress Tensor and Momentum Conservation in Cylindrical Coordinate -- 7.2 Abelian-Higgs Model -- 7.2.1 Model -- 7.2.2 Energy Momentum Tensor in Cylindrical Coordinate System -- 7.3 Magnetic Vortex -- 7.3.1 Magnetic Vortex with Finite Length -- 7.3.2 Infinitely Long Vortex -- 7.3.3 Physical Units -- 7.3.4 Details of Numerical Analysis -- 7.4 Numerical Results -- 7.4.1 Infinitely Long Vortex -- 7.4.2 Finite-Length Flux Tube -- References -- 8 Summary and Outlook -- References.
Appendix A Improved Estimator -- Appendix B Tree-Level Improvement of Lattice Observables -- Appendix C Leading-Order Perturbative Analysis of EMT around Single Static Charge -- Appendix D Smearing Method -- D.1 SU(N) Projection -- D.2 APE Smearing -- Appendix E Analytic Properties of Abelian-Higgs Model.
Record Nr. UNINA-9910506375703321
Yanagihara Ryosuke  
Gateway East, Singapore : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Floer homology groups in Yang-Mills theory / / S.K. Donaldson with the assistance of M. Furuta and D. Kotschick [[electronic resource]]
Floer homology groups in Yang-Mills theory / / S.K. Donaldson with the assistance of M. Furuta and D. Kotschick [[electronic resource]]
Autore Donaldson S. K.
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2002
Descrizione fisica 1 online resource (vii, 236 pages) : digital, PDF file(s)
Disciplina 530.14/35
Collana Cambridge tracts in mathematics
Soggetto topico Yang-Mills theory
Floer homology
Geometry, Differential
ISBN 1-107-12463-8
1-280-43046-X
9786610430468
0-511-17547-7
0-511-15583-2
0-511-30404-8
0-511-54309-3
0-511-04453-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Yang-Mills theory over compact manifolds -- The case of a compact 4-manifold -- Technical results -- Manifolds with tubular ends -- Yang-Mills theory and 3-manifolds -- Initial discussion -- The Chern-Simons functional -- The instanton equation -- Linear operators -- Appendix A: local models -- Appendix B: pseudo-holomorphic maps -- Appendix C: relations with mechanics -- Linear analysis -- Separation of variables -- Sobolev spaces on tubes -- Remarks on other operators -- The addition property -- Weighted spaces -- Floer's grading function; relation with the Atiyah, Patodi, Singer theory -- Refinement of weighted theory -- L[superscript p] theory -- Gauge theory and tubular ends -- Exponential decay -- Moduli theory -- Moduli theory and weighted spaces -- Gluing instantons -- Gluing in the reducible case -- Appendix A: further analytical results -- Convergence in the general case -- Gluing in the Morse--Bott case -- The Floer homology groups -- Compactness properties -- Floer's instanton homology groups -- Independence of metric -- Orientations -- Deforming the equations -- Transversality arguments -- U(2) and SO(3) connections -- Floer homology and 4-manifold invariants -- The conceptual picture -- The straightforward case -- Review of invariants for closed 4-manifolds -- Invariants for manifolds with boundary and b[superscript +]] 1 -- Reducible connections and cup products -- The maps D[subscript 1], D[subscript 2] -- Manifolds with b[superscript +] = 0, 1 -- The case b[superscript +] = 1.
Record Nr. UNINA-9910454923903321
Donaldson S. K.  
Cambridge : , : Cambridge University Press, , 2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Floer homology groups in Yang-Mills theory / / S.K. Donaldson with the assistance of M. Furuta and D. Kotschick [[electronic resource]]
Floer homology groups in Yang-Mills theory / / S.K. Donaldson with the assistance of M. Furuta and D. Kotschick [[electronic resource]]
Autore Donaldson S. K.
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2002
Descrizione fisica 1 online resource (vii, 236 pages) : digital, PDF file(s)
Disciplina 530.14/35
Collana Cambridge tracts in mathematics
Soggetto topico Yang-Mills theory
Floer homology
Geometry, Differential
ISBN 1-107-12463-8
1-280-43046-X
9786610430468
0-511-17547-7
0-511-15583-2
0-511-30404-8
0-511-54309-3
0-511-04453-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Yang-Mills theory over compact manifolds -- The case of a compact 4-manifold -- Technical results -- Manifolds with tubular ends -- Yang-Mills theory and 3-manifolds -- Initial discussion -- The Chern-Simons functional -- The instanton equation -- Linear operators -- Appendix A: local models -- Appendix B: pseudo-holomorphic maps -- Appendix C: relations with mechanics -- Linear analysis -- Separation of variables -- Sobolev spaces on tubes -- Remarks on other operators -- The addition property -- Weighted spaces -- Floer's grading function; relation with the Atiyah, Patodi, Singer theory -- Refinement of weighted theory -- L[superscript p] theory -- Gauge theory and tubular ends -- Exponential decay -- Moduli theory -- Moduli theory and weighted spaces -- Gluing instantons -- Gluing in the reducible case -- Appendix A: further analytical results -- Convergence in the general case -- Gluing in the Morse--Bott case -- The Floer homology groups -- Compactness properties -- Floer's instanton homology groups -- Independence of metric -- Orientations -- Deforming the equations -- Transversality arguments -- U(2) and SO(3) connections -- Floer homology and 4-manifold invariants -- The conceptual picture -- The straightforward case -- Review of invariants for closed 4-manifolds -- Invariants for manifolds with boundary and b[superscript +]] 1 -- Reducible connections and cup products -- The maps D[subscript 1], D[subscript 2] -- Manifolds with b[superscript +] = 0, 1 -- The case b[superscript +] = 1.
Record Nr. UNINA-9910780059403321
Donaldson S. K.  
Cambridge : , : Cambridge University Press, , 2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui