Remarks on 2-dimensional HQFT's

Details Remarks on 2-dimensional HQFT's Remarks on 2-dimensional HQFT's

2009-12-08

arxiv.org/abs/0912.1380v2

Mathematics

Geometric Topology

22 pages, 14 figures. In this version we added a detailed proof for Theorem 3.3 and made some minor corrections.

Scientific paper

We introduce and study algebraic structures underlying 2-dimensional Homotopy
Quantum Field Theories (HQFTs) with arbitrary target spaces. These algebraic
structures are formalized in the notion of a twisted Frobenius algebra. Our
work generalizes results of Brightwell, Turner, and the second author on
2-dimensional HQFTs with simply-connected or aspherical targets.

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