#### Volume 10, issue 3 (2010)

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Remarks on $2$–dimensional HQFTs

### Mihai D Staic and Vladimir Turaev

Algebraic & Geometric Topology 10 (2010) 1367–1393
##### Abstract

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.

##### Keywords
topological quantum field theory, Frobenius algebra, $k$–invariant
Primary: 57R56