曲面上刚性结构变换的广群
On the groupoid of transformations of rigid structures on surfaces
摘要:
本文证明了曲面上刚性结构的变换广群具有2-广群的有限表示,建立了G.Moore和N. Seiberg首先证明的结果。另一个证明是由B.Bakalov和A.Kirillov Jr.给出的。我们介绍了TQFT的一些应用。这也与P.Lochak,A.Hatcher和L. Schneps最近关于Grothendieck-Teichmuller广群的工作有关。
英文摘要:
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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