Open Access
2006 Unoriented topological quantum field theory and link homology
Vladimir Turaev, Paul Turner
Algebr. Geom. Topol. 6(3): 1069-1093 (2006). DOI: 10.2140/agt.2006.6.1069

Abstract

We investigate link homology theories for stable equivalence classes of link diagrams on orientable surfaces. We apply (1+1)–dimensional unoriented topological quantum field theories to Bar-Natan’s geometric formalism to define new theories for stable equivalence classes.

Citation

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Vladimir Turaev. Paul Turner. "Unoriented topological quantum field theory and link homology." Algebr. Geom. Topol. 6 (3) 1069 - 1093, 2006. https://doi.org/10.2140/agt.2006.6.1069

Information

Received: 1 September 2005; Revised: 16 January 2006; Accepted: 2 May 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1134.57004
MathSciNet: MR2253441
Digital Object Identifier: 10.2140/agt.2006.6.1069

Subjects:
Primary: 57M25 , 57R56
Secondary: 81T40

Keywords: Khovanov homology , stable equivalence , unoriented topological quantum field theory , virtual link

Rights: Copyright © 2006 Mathematical Sciences Publishers

Vol.6 • No. 3 • 2006
MSP
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