On the groupoid of transformations of rigid structures on surfaces

Details On the groupoid of transformations of rigid structures on surfaces On the groupoid of transformations of rigid structures on surfaces

1999-07-05

arxiv.org/abs/math/9907022v1

J.Math.Sci.Univ.Tokyo, 6(1999), 599-646.

Mathematics

Geometric Topology

38 pages, 35 eps figures

Scientific paper

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.

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