English

Unoriented HQFT and its underlying algebra

Algebraic Topology 2016-11-30 v4

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.

Keywords

Cite

@article{arxiv.1104.2372,
  title  = {Unoriented HQFT and its underlying algebra},
  author = {Keiji Tagami},
  journal= {arXiv preprint arXiv:1104.2372},
  year   = {2016}
}

Comments

23 pages, 29 figures, I rearrange the main theorem and correct some typos

R2 v1 2026-06-21T17:53:16.550Z