A mixed invariant of nonorientable surfaces in equivariant Khovanov homology

Lipshitz, Robert; Sarkar, Sucharit

doi:10.1090/tran/8736

A mixed invariant of nonorientable surfaces in equivariant Khovanov homology
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by Robert Lipshitz and Sucharit Sarkar PDF

Trans. Amer. Math. Soc. 375 (2022), 8807-8849

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.

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