A mixed invariant of nonorientable surfaces in equivariant Khovanov homology-Reference-Cited by-同舟云学术

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A mixed invariant of nonorientable surfaces in equivariant Khovanov homology

Published:2022-09-23 Issue:12 Volume:375 Page:8807-8849
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Lipshitz Robert,Sarkar Sucharit

Abstract

We construct a mixed invariant of nonorientable surfaces from the Lee and Bar-Natan deformations of Khovanov homology and use it to distinguish pairs of surfaces bounded by the same knot, including some exotic examples.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2022-375-12/S0002-9947-2022-08736-5/tran8736_AM.pdf

Reference44 articles.

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2. Unknotting number and Khovanov homology;Alishahi, Akram;Pacific J. Math.,2019

3. Concordance invariants from the 𝐸(-1) spectral sequence on Khovanov homology;Ballinger, William

4. Khovanov’s homology for tangles and cobordisms;Bar-Natan, Dror;Geom. Topol.,2005

5. The Karoubi envelope and Lee’s degeneration of Khovanov homology;Bar-Natan, Dror;Algebr. Geom. Topol.,2006

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