Modular properties of ribbon abelian categories
| dc.creator | Lyubashenko, Volodymyr | |
| dc.date | 1994-05-26 | |
| dc.date | 2008-02-20 | |
| dc.date.accessioned | 2026-07-07T09:22:08Z | |
| dc.date.available | 2026-07-07T09:22:08Z | |
| dc.description | A category N of labeled (oriented) trivalent graphs (nets) or ribbon graphs is extended by new generators called fusing, braiding, twist and switch with relations which can be called Moore--Seiberg relations. A functor to N is constructed from the category Surf of oriented surfaces with labeled boundary and their homeomorphisms. Given an (eventually non-semisimple) k-linear abelian ribbon braided category C with some finiteness conditions we construct a functor from a central extension of N with the set of labels ObC to k-vector spaces. Composing the functors we get a modular functor from a central extension of Surf to k-vector spaces. This is a mathematical paper which explains how to get proofs for its hep-th companion paper, which should be read first. Complete proofs are not given here. (Talk at Second Gauss Simposium, Munich, August 1993.) | |
| dc.description | 51 pages, close to published version | |
| dc.identifier | https://arxiv.org/abs/hep-th/9405168 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9405168 | |
| dc.identifier | Symposia Gaussiana, Proc. of the 2nd Gauss Symposium, Munich, 1993, Conf. A (Berlin, New York), Walter de ruyter, 1995, pp. 529-579 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155271 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Modular properties of ribbon abelian categories | |
| dc.type | text |