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2017 On bordered theories for Khovanov homology
Andrew Manion
Algebr. Geom. Topol. 17(3): 1557-1674 (2017). DOI: 10.2140/agt.2017.17.1557

Abstract

We describe how to formulate Khovanov’s functor-valued invariant of tangles in the language of bordered Heegaard Floer homology. We then give an alternate construction of Lawrence Roberts’ type D and type A structures in Khovanov homology, and his algebra Γn, in terms of Khovanov’s theory of modules over the ring Hn. We reprove invariance and pairing properties of Roberts’ bordered modules in this language. Along the way, we obtain an explicit generators-and-relations description of Hn which may be of independent interest.

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Andrew Manion. "On bordered theories for Khovanov homology." Algebr. Geom. Topol. 17 (3) 1557 - 1674, 2017. https://doi.org/10.2140/agt.2017.17.1557

Information

Received: 12 November 2015; Revised: 13 July 2016; Accepted: 2 September 2016; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1385.57017
MathSciNet: MR3677935
Digital Object Identifier: 10.2140/agt.2017.17.1557

Subjects:
Primary: 57M27

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.17 • No. 3 • 2017
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