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
On the Groupoid of Transformations of Rigid Structures on Surfaces
jms060401.pdf
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