We prove that the 2-groupoid of transformations of rigid structures on surfaces has a finite presentation, establishing a result first conjectured by Moore and Seiberg. We also show that a finite dimensional, unitary, cyclic topological quantum field theory gives rise to a representation of this $2$-groupoid.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
6
号
4
ページ
599 - 646
発行年
1999
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1742596
Mathmatical Subject Classification
57N10(MSC1991)
57M25(MSC1991)
16A46(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日
1998-10-20
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On the Groupoid of Transformations of Rigid Structures on Surfaces
jms060401.pdf
(1.06MB)
