Plane Floer homology and the odd Khovanov homology of 2-knots

Dean Spyropoulos; Rithwik Susheel Vidyarthi; Chen Zhang

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arXiv · 2603.22033

Plane Floer homology and the odd Khovanov homology of 2-knots

Dean Spyropoulos·Rithwik Susheel Vidyarthi·Chen Zhang

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Abstract

We prove a conjecture of Migdail and Wehrli regarding the odd Khovanov cobordism maps associated to knotted spheres. Our key tool is Daemi's plane Floer homology, which we use in place of a Lee deformation. Continuing the analogy with Lee homology, we see this work as a potential first step toward a genuinely functorial model for odd Khovanov homology.

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Dean Spyropoulos, Rithwik Susheel Vidyarthi, Chen Zhang. 2026-03-23. Plane Floer homology and the odd Khovanov homology of 2-knots. https://arxiv.org/abs/2603.22033

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