Remarks on 2–dimensional HQFTs

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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Keywords

topological quantum field theory, Frobenius algebra, $k$–invariant

Mathematical Subject Classification 2000

Primary: 57R56

References

Publication

Received: 14 December 2009

Revised: 30 March 2010

Accepted: 4 May 2010

Published: 17 June 2010

Authors

Mihai D Staic
Department of Mathematics Indiana University Rawles Hall Bloomington IN 47405 United States	Institute of Mathematics of the Romanian Academy PO Box 1-764 RO-70700 Bucharest Romania

Vladimir Turaev
Department of Mathematics Indiana University Rawles Hall Bloomington IN 47405 United States

Volume 10, issue 3 (2010)

Mihai D Staic and Vladimir Turaev

Abstract