Homotopy Quantum Field Theory
With Appendices by Michael Müger and Alexis Virelizier
Vladimir Turaev
Indiana University, Bloomington, USA

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| FrontmatterDownload pp. i–v | |
| ContentsDownload pp. vii–ix | |
| IntroductionDownload pp. xi–xiv | |
| I | Generalities on HQFTspp. 1–22 |
| II | Group-algebraspp. 23–39 |
| III | Two-dimensional HQFTspp. 40–65 |
| IV | Biangular algebras and lattice HQFTspp. 66–87 |
| V | Enumeration problems in dimension twopp. 88–129 |
| VI | Crossed G-categories and invariants of linkspp. 130–157 |
| VII | Modular -categories and HQFTspp. 158–185 |
| VIII | Miscellaneous algebrapp. 186–203 |
| 1 | Relative HQFTspp. 205–212 |
| 2 | State sum invariants of 3-dimensional -manifoldspp. 213–216 |
| 3 | Recent work on HQFTspp. 217–218 |
| 4 | Open problemspp. 219–220 |
| 5 | On the structure of braided crossed G-categories by Michael Mügerpp. 221–235 |
| 6 | Algebraic properties of Hopf -coalgebras by Alexis Virelizierpp. 236–252 |
| 7 | Invariants of 3-dimensional -manifolds from Hopf coalgebras by Alexis Virelizierpp. 253–262 |
| Bibliographypp. 263–271 | |
| Indexpp. 273–276 |