TOPOLOGICAL REPRESENTATIONS OF U(Q)(SL(2)(C)) ON THE TORUS AND THE MAPPING CLASS GROUP

Authors
CRIVELLI M FELDER G WIECZERKOWSKI C
Citation
M. Crivelli et al., TOPOLOGICAL REPRESENTATIONS OF U(Q)(SL(2)(C)) ON THE TORUS AND THE MAPPING CLASS GROUP, letters in mathematical physics, 30(1), 1994, pp. 71-85
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
30
Issue
1
Year of publication
1994
Pages
71 - 85
Database
ISI
SICI code
0377-9017(1994)30:1<71:TROUOT>2.0.ZU;2-2
Abstract
We compute the mapping class group action on cycles on the configurati on space of the torus with one puncture, with coefficients in a local system arising in conformal field theory. This action commutes with th e topological action of the quantum group U(q)(sl2(C)), and is given i n vertex form.