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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
100 years of gravity and accelerated frames : the deepest insights of Einstein and Yang-Mills / / editors, Jong-Ping Hsu, Dana Fine |
Edizione | [1st ed.] |
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. |
Altri titoli varianti | One hundred years of gravity and accelerated frames |
Record Nr. | UNINA-9910817989603321 |
Singapore ; ; Hackensack, NJ ; ; London, : World Scientific, c2005 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
50 years of Yang-Mills theory / / edited by Gerardus 't Hooft |
Edizione | [1st ed.] |
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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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] | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
|
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] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|