Unoriented HQFT and its underlying algebra
arXiv:1104.2372 · doi:10.1016/j.topol.2011.11.057
Abstract
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.
23 pages, 29 figures, I rearrange the main theorem and correct some typos
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