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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.GT2023
On the universal pairing for 2-complexes
Mikhail Khovanov, Vyacheslav Krushkal, John Nicholson
The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 by Freedman et al. We prove an analogous result for 2-complexes, and also show that the…