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Topology and physics : Proceedings of the Nankai International Conference in Memory of Xiao-Song Lin, Tianjin, China, 27-31 July 2007 /
This unique volume, resulting from a conference at the Chern Institute of Mathematics dedicated to the memory of Xiao-Song Lin, presents a broad connection between topology and physics as exemplified by the relationship between low-dimensional topology and quantum field theory. The volume includes w...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , , , |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Hackensak, NJ :
World Scientific,
©2008.
|
| Colección: | Nankai tracts in mathematics ;
v. 12. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Topology and physics : |b Proceedings of the Nankai International Conference in Memory of Xiao-Song Lin, Tianjin, China, 27-31 July 2007 / |c editors, Kevin Lin, Zhenghan Wang, Weiping Zhang. |
| 246 | 3 | 0 | |a Proceedings of the Nankai International Conference in Memory of Xiao-Song Lin, Tianjin, China, 27-31 July 2007 |
| 260 | |a Hackensak, NJ : |b World Scientific, |c ©2008. | ||
| 300 | |a 1 online resource : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Nankai tracts in mathematics ; |v v. 12 | |
| 500 | |a Title from PDF title page (viewed on Apr. 3, 2013). | ||
| 500 | |a Papers from a memorial conference in honor of Xiao-Song Lin, organized by the Chern Institute of Mathematics and held in Tianjin, July 27-31, 2007. | ||
| 504 | |a Includes bibliographical references. | ||
| 520 | |a This unique volume, resulting from a conference at the Chern Institute of Mathematics dedicated to the memory of Xiao-Song Lin, presents a broad connection between topology and physics as exemplified by the relationship between low-dimensional topology and quantum field theory. The volume includes works on picture (2+1)-TQFTs and their applications to quantum computing, Berry phase and Yang-Baxterization of the braid relation, finite type invariant of knots, categorification and Khovanov homology, Gromov-Witten type invariants, twisted Alexander polynomials, Faddeev knots, generalized Ricci flo. | ||
| 505 | 0 | |a Foreword; Preface; Short Biography of Lin; Mathematics of Lin; Organizing Committees; List of Participants; Program; Welcome Speech of Weiping Zhang; Speech of Boju Jiang; CONTENTS; Part A Invited Contributions; The Modified Calabi-Yau Problems for CR-manifolds J. Cao and S.-C. Chang; 0. Introduction; 1. Bounded solutions to d = on manifolds with negative curvature; 2. The modified Calabi-Yau problems for singular spaces and CR-manifolds; A. Sup-harmonic functions on Alexandrov spaces with nonnegative sectional curvature | |
| 505 | 8 | |a B. The generalized Calabi problems for Kahler domains with boundaries C. The Calabi-Escobar type problem for Kahler domains with boundaries; Acknowledgments; References; On Picture (2+1)-TQFTs M. Freedman, C. Nayak, K. Walker and Z. Wang; 1. Introduction; 2. Jones representations; 2.1. Braid statistics; 2.2. Generic Jones representation of the braid groups; 2.3. Unitary Jones representations; 2.4. Uniqueness of Jones-Wenzl projectors; 3. Diagram TQFTs for closed manifolds; 3.1. ""d-isotopy"", local relation, and skein relation; 3.2. Picture classes; 3.3. Skein classes; 3.4. Recoupling theory | |
| 505 | 8 | |a 3.5. Handles and S-matrix 3.6. Diagram TQFTs for closed manifolds; 3.7. Boundary conditions for picture TQFTs; 3.8. Jones-Kauffman skein spaces; 4. Morita equivalence and cut-paste topology; 4.1. Bimodules over picture category; 4.2. Cutting and paste as Morita equivalence; 4.3. Annualization and quantum double; 5. Temperley-Lieb-Jones categories; 5.1. Annular Markov trace; 5.2. Representation of Temperley-Lieb-Jones categories; 5.3. Rectangular Tempeley-Lieb-Jones categories for low levels; 5.3.1. Level=1, d2 = 1; 5.3.2. Level=2, d2 = 2; 5.3.3. Level=3, d2 = 1 + d or d2 = 1 | |
| 505 | 8 | |a 5.4. Annular Temperley-Lieb-Jones theories for low levels 5.4.1. Level=1, d2 = 1; 5.4.2. Level=2, d2 = 2; 5.4.3. Level=3, d2 = 1 + d or d2 = 1; 5.5. Temperley-Lieb-Jones categories for primitive 4th roots of unity; 5.6. Temperley-Lieb-Jones categories for primitive 2nd root of unity, rodd; 6. The definition of a TQFT; 6.1. Redined labels for TQFTs; 6.2. Anomaly of TQFTs and extended manifolds; 6.3. Axioms for TQFTs; 6.4. More consequences of the axioms; 6.5. Framed link invariants and modular representation; 6.6. Verlinde algebras and Verlinde formulas | |
| 505 | 8 | |a 7. Diagram and Jones-Kau man TQFTs 7.1. Diagram TQFTs; 7.2. Jones-Kau man TQFTs; 8. WRT and Turaev-Viro SU(2)-TQFTs; 8.1. Flagged TLJ categories; 8.2. Turaev-Viro Unitary TQFTs; 8.3. WRT Unitary TQFTs; 9. Black-White TQFTs; 9.1. Black-white TLJ categories; 9.2. Labels for black-white theories; 9.2.1. Level=2, d2 = 2; 9.2.2. Level=3; 9.3. BW TQFTs; 10. Classification and Unitarity; 10.1. Classification of diagram local relations; 10.2. Unitary TQFTs; 10.3. Classication and unitarity; Appendix A. Topological phases of matter; Ground states manifolds as modular functors | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Low-dimensional topology |v Congresses. | |
| 650 | 0 | |a Quantum field theory |v Congresses. | |
| 650 | 0 | |a Algebraic topology |v Congresses. | |
| 650 | 0 | |a Field theory (Physics) |v Congresses. | |
| 650 | 6 | |a Topologie de basse dimension |v Congrès. | |
| 650 | 6 | |a Théorie quantique des champs |v Congrès. | |
| 650 | 6 | |a Topologie algébrique |v Congrès. | |
| 650 | 6 | |a Théorie des champs (Physique) |v Congrès. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Algebraic topology |2 fast | |
| 650 | 7 | |a Field theory (Physics) |2 fast | |
| 650 | 7 | |a Low-dimensional topology |2 fast | |
| 650 | 7 | |a Quantum field theory |2 fast | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Lin, Xiao-song, |d 1957-2007. | |
| 700 | 1 | |a Lin, Kevin. | |
| 700 | 1 | |a Wang, Zhenghan. | |
| 700 | 1 | |a Zhang, Weiping, |d 1964- | |
| 711 | 2 | |a Nankai International Conference in Memory of Xiao-Song Lin |d (2007: |c Tianjin, China) | |
| 776 | 0 | 8 | |i Print version: |t Topology and physics. |d Hackensak, NJ : World Scientific, ©2008 |w (DLC) 2008300880 |
| 830 | 0 | |a Nankai tracts in mathematics ; |v v. 12. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521175 |z Texto completo |
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