3 papers
math.GT2026
A module structure on odd Khovanov homology and the odd invariant for ribbon 2-knots
Jacob Migdail, Stephan Wehrli
We prove that the reduced odd Khovanov homology of a link is naturally a module over the exterior algebra of the first homology of the link's branched double-cover. We then des…
math.GT2025
The Functoriality of Odd Khovanov Homology up to Sign and Applications
Jacob Migdail
In this dissertation, we extend the odd Khovanov bracket to link cobordisms and prove that our construction is functorial up to sign. We then build an odd Khovanov theory for dotte…
math.GT2025
Functoriality of Odd and Generalized Khovanov Homology in
Jacob Migdail, Stephan Wehrli
We extend the generalized Khovanov bracket to smooth link cobordisms in and prove that the resulting theory is functorial up to global invertible scalars. Th…