On the groupoid of transformations of rigid structures on surfaces

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dc.creatorFunar, Louis
dc.creatorGelca, Razvan
dc.date1999-07-05
dc.date.accessioned2026-07-07T05:29:47Z
dc.date.available2026-07-07T05:29:47Z
dc.descriptionWe 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.
dc.description38 pages, 35 eps figures
dc.identifierhttps://arxiv.org/abs/math/9907022
dc.identifierhttp://arxiv.org/abs/math/9907022
dc.identifierJ.Math.Sci.Univ.Tokyo, 6(1999), 599-646.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78774
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57 N 10, 57 M 25
dc.titleOn the groupoid of transformations of rigid structures on surfaces
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