On the groupoid of transformations of rigid structures on surfaces
Geometric Topology
2007-05-23 v1 Quantum Algebra
Abstract
We prove that the groupoid of transformations of rigid structures on surfaces has a finite presentation as a 2-groupoid establishing a result first conjectured by G.Moore and N.Seiberg. An alternative proof was given by B.Bakalov and A.Kirillov Jr. We present some applications to TQFTs. This is also related to recent work on the Grothendieck-Teichmuller groupoid by P.Lochak, A.Hatcher and L.Schneps.
Cite
@article{arxiv.math/9907022,
title = {On the groupoid of transformations of rigid structures on surfaces},
author = {Louis Funar and Razvan Gelca},
journal= {arXiv preprint arXiv:math/9907022},
year = {2007}
}
Comments
38 pages, 35 eps figures