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Khovanov homology and Lagrangian cobordisms

2024/12/19 by Gage Martin, Martin, Gage, Ina Petkova +3
Mathematics · #57K18 #57K33 #57R90 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2412.15351

openalex publication_date 2024/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a partial answer to a question of Ekholm, Honda, and Kálmán about the relationship between Khovanov homology and decomposable Lagrangian cobordisms. We also utilize previously defined filtered invariants to give obstructions to decomposable Lagrangian cobordisms from Khovanov homology.

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