Unoriented HQFTs and its underlying algebras

Details Unoriented HQFTs and its underlying algebras Unoriented HQFTs and its underlying algebras

2011-04-13

arxiv.org/abs/1104.2372v2

Mathematics

Algebraic Topology

25 pages, 29 figures

Scientific paper

Turaev and Turner introduced a bijection between unoriented topological
quantum field theories and extended Frobenius algebras. In this paper, we will
show that there exists a bijective correspondence between unoriented (1 +
1)-dimensional homotopy quantum field theories and extended crossed group
algebras.

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