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

Fuente: arXiv
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Autores principales: Spyropoulos, Dean, Vidyarthi, Rithwik Susheel, Zhang, Chen
Formato: Preprint
Publicado: 2026
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author Spyropoulos, Dean
Vidyarthi, Rithwik Susheel
Zhang, Chen
author_facet Spyropoulos, Dean
Vidyarthi, Rithwik Susheel
Zhang, Chen
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_22033
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Plane Floer homology and the odd Khovanov homology of 2-knots
Spyropoulos, Dean
Vidyarthi, Rithwik Susheel
Zhang, Chen
Geometric Topology
57K18, 57R58
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.
title Plane Floer homology and the odd Khovanov homology of 2-knots
topic Geometric Topology
57K18, 57R58
url https://arxiv.org/abs/2603.22033