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math.GT2025
An Extension of Khovanov Homology to Immersed Surface Cobordisms
Scott Carter, Benjamin Cooper, Mikhail Khovanov +1
We show that an oriented surface in containing double point singularities induces a map between the Khovanov homology groups of its boundary links in a functorial wa…
math.QA2025
Symmetries of equivariant Khovanov homology
Mikhail Khovanov, Taketo Sano
We study symmetries in equivariant versions of Khovanov homology, which include (i) the construction of an involution for the -equivariant theory, (ii) an integra…