Remarks on 2–dimensional HQFTs - INSPIRE

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Remarks on 2–dimensional HQFTs

Mihai D. Staic
(
- Indiana U.
)
,
Vladimir Turaev
(
- Indiana U.
)

Jun 17, 2010

27 pages

Published in:

Algebr.Geom.Topol. 10 (2010) 3, 1367-1393

Published: Jun 17, 2010

DOI:

10.2140/agt.2010.10.1367

View in:

AMS MathSciNet

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Abstract: (MSP)

We introduce and study algebraic structures underlying2–dimensionalHomotopy Quantum Field Theories (HQFTs) with arbitrary target spaces. Thesealgebraic structures are formalized in the notion of a twisted Frobenius algebra. Ourwork generalizes results of Brightwell, Turner and the second author on2–dimensionalHQFTs with simply connected or aspherical targets.

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

References(6)

Figures(0)

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•
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Vladimir Turaev
(
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)

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•
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