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Format: XIV, 312 S. : graph. Darst.

ISBN: 3-11-014028-4

Series Statement: De Gruyter expositions in mathematics 10

Language: English

Subjects: Physics , Mathematics

Keywords: Quantenfeldtheorie ; Chern-Simons-Feldtheorie

URL: Inhaltsverzeichnis

URL: Inhaltstext

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Format: 1 online resource (312 p.) : , Num. figs.

Edition: Reprint 2011

ISBN: 9783110879643 , 9783110494969

Series Statement: De Gruyter Expositions in Mathematics , 10

Note: Frontmatter -- , Chapter 1. Introduction -- , Chapter 2. Basic notions of knot theory -- , Chapter 3. Framing in field theory -- , Chapter 4. Non-Abelian Chern-Simons theory -- , Chapter 5. Observables and perturbation theory -- , Chapter 6. Properties of the expectation values -- , Chapter 7. Ordering fermions and knot observables -- , Chapter 8. Braid group -- , Chapter 9. R-matrix and braids -- , Chapter 10. Chern-Simons monodromies -- , Chapter 11. Defining relations -- , Chapter 12. The extended Jones polynomial -- , Chapter 13. General properties -- , Chapter 14. Unitary groups -- , Chapter 15. Reduced tensor algebra -- , Chapter 16. Surgery on three-manifolds -- , Chapter 17. Surgery and field theory -- , Chapter 18. Observables in three-manifolds -- , Chapter 19. Three-manifold invariant -- , Chapter 20. Abelian surgery invariant -- , References -- , Subject Index -- , Backmatter , Issued also in print. , Mode of access: Internet via World Wide Web. , In English.

In: DG Expositions in Mathematics Backlist eBook Package, De Gruyter, 9783110494969

In: DGBA Mathematics - 1990 - 1999, De Gruyter, 9783110637199

In: E-DITION: BEST OF MATHEMATICS, De Gruyter, 9783110233957

Additional Edition: ISBN 9783110140286

Language: English

Subjects: Physics

DOI: 10.1515/9783110879643

URL: https://doi.org/10.1515/9783110879643

URL: https://www.degruyter.com/isbn/9783110879643

URL: Cover

UID:

Format: XIV, 312 S. : graph. Darst.

ISBN: 3-11-014028-4

Series Statement: De Gruyter expositions in mathematics 10

Language: English

Subjects: Physics , Mathematics

Keywords: Quantenfeldtheorie ; Chern-Simons-Feldtheorie

UID:

Format: Online-Ressource (xiv, 312 p) , ill

Edition: Online-Ausg. Palo Alto, Calif ebrary 2011 Electronic reproduction; Available via World Wide Web

ISBN: 3110140284 , 9783110140286 , 9783110879643

Series Statement: De Gruyter expositions in mathematics 10

Note: Includes bibliographical references (p. [303]-309) and index , 10.3 The inexistent shiftChapter 11. Defining relations; 11.1 Calculus rules; Chapter 12. The extended Jones polynomial; 12.1 The values of the unknots; 12.2 Hopf link; 12.3 Trefoil knot; 12.4 Figure-eight knot; 12.5 Connection with the Jones polynomial; 12.6 Bracket connection; 12.7 Reconstruction theorems; Chapter 13. General properties; 13.1 Twist variable; 13.2 Recovered field theory; 13.3 Links in a solid torus; 13.4 Satellites; 13.5 Skein relation; 13.6 Projectors; 13.7 Borromean rings; 13.8 Connected sums; 13.9 Mutations; Chapter 14. Unitary groups; 14.1 Fundamental skein relation. , 14.2 Casimir operator14.3 Composite states; 14.4 Pattern links; 14.5 Higher dimensional representations; 14.6 Polynomial structure; 14.7 SU(3) examples; Chapter 15. Reduced tensor algebra; 15.1 The restated solution; 15.2 Outlook; 15.3 Representation ring; 15.4 The three-sphere; 15.5 Reduced tensor algebra; 15.6 Roots of unity; 15.7 Special cases; Chapter 16. Surgery on three-manifolds; 16.1 Mapping class group of the torus; 16.2 Solid tori; 16.3 Dehn surgery; 16.4 Links in three-manifolds; 16.5 Elementary surgeries; 16.6 Physical interpretation; 16.7 The fundamental group. , 5.2 Perturbative computationsChapter 6. Properties of the expectation values; 6.1 Holonomy matrix; 6.2 Discrete symmetries; 6.3 Satellite formulae; Chapter 7. Ordering fermions and knot observables; 7.1 Ordering fermions; 7.2 Antiperiodic boundary conditions; 7.3 Knot observables; Chapter 8. Braid group; 8.1 Artin braid group; 8.2 Hecke algebra; Chapter 9. R-matrix and braids; 9.1 Quantum group approach; 9.2 Lie algebras and monodromy representations; 9.3 Quasi-Hopf algebra; Chapter 10. Chern-Simons monodromies; 10.1 Schrödinger picture; 10.2 Universality of the link invariants. , Chapter 1. Introduction; 1.1 Quantum physics and classical electromagnetism; 1.2 Abelian Chern-Simons action; 1.3 Non-Abelian Chern-Simons action; Chapter 2. Basic notions of knot theory; 2.1 Ambient and regular isotopy; 2.2 Link invariants; 2.3 Framing and satellites; Chapter 3. Framing in field theory; 3.1 Abelian Chern-Simons theory; 3.2 Framed Wilson line operators; Chapter 4. Non-Abelian Chern-Simons theory; 4.1 Covariant quantization; 4.2 One-loop effective action; 4.3 Higher order results; Chapter 5. Observables and perturbation theory; 5.1 Wilson line operators. , Chapter 17. Surgery and field theory17.1 Basic pairing; 17.2 Properties of the Hopf matrix; 17.3 Elementary surgery operators; 17.4 Surgery operator; 17.5 Surgery rules and Kirby moves; Chapter 18. Observables in three-manifolds; 18.1 The manifold S2 × S1; 18.2 The manifold RP3; 18.3 Lens spaces; 18.4 The Poincaré manifold; 18.5 The manifold T2 S1; Chapter 19. Three-manifold invariant; 19.1 Improved partition function; 19.2 Values of the invariant; Chapter 20. Abelian surgery invariant; 20.1 Compact Abelian theory; 20.2 Abelian surgery rules; 20.3 Abelian surgery invariant; References. , Subject Index.

Language: English

DOI: 10.1515/9783110879643

URL: http://www.degruyter.com/doi/book/10.1515/9783110879643

URL: Cover

UID:

Format: 1 online resource (326p.): , Num. figs.

Edition: Reprint 2011

ISBN: 9783110879643

Series Statement: De Gruyter Expositions in Mathematics ; 10

Note: Frontmatter -- , Chapter 1. Introduction -- , Chapter 2. Basic notions of knot theory -- , Chapter 3. Framing in field theory -- , Chapter 4. Non-Abelian Chern-Simons theory -- , Chapter 5. Observables and perturbation theory -- , Chapter 6. Properties of the expectation values -- , Chapter 7. Ordering fermions and knot observables -- , Chapter 8. Braid group -- , Chapter 9. R-matrix and braids -- , Chapter 10. Chern-Simons monodromies -- , Chapter 11. Defining relations -- , Chapter 12. The extended Jones polynomial -- , Chapter 13. General properties -- , Chapter 14. Unitary groups -- , Chapter 15. Reduced tensor algebra -- , Chapter 16. Surgery on three-manifolds -- , Chapter 17. Surgery and field theory -- , Chapter 18. Observables in three-manifolds -- , Chapter 19. Three-manifold invariant -- , Chapter 20. Abelian surgery invariant -- , References -- , Subject Index -- , Backmatter , In English.

Additional Edition: ISBN 978-3-11-014028-6

Language: English

DOI: 10.1515/9783110879643

URL: https://doi.org/10.1515/9783110879643