SL(2, C)-topological quantum field theory with corners

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Abstract

In this paper we define the sl(2, C) topological quantum field theory with corners that corresponds to the smooth theory of Reshetikhin and Turaev. We encounter a sign obstruction at the level of the modular functor, which we solve by making use of the Klein four group. We deduce the Moore-Seiberg equations in the new context.

Original languageEnglish
Pages (from-to)893-906
Number of pages14
JournalJournal of Knot Theory and its Ramifications
Volume7
Issue number7
DOIs
StatePublished - 1998

Keywords

  • 3-manifolds
  • Topological quantum field theory

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