Khovanov homology and Lagrangian cobordisms
Gage Martin, Ina Petkova, Zachary Winkeler
TL;DR
This paper explores the connection between Khovanov homology and Lagrangian cobordisms, providing new obstructions to certain cobordisms using filtered invariants, thus advancing understanding in symplectic topology.
Contribution
It offers a partial answer to a question about the relationship between Khovanov homology and decomposable Lagrangian cobordisms, introducing new obstructions via filtered invariants.
Findings
Provided partial answers to the relationship question.
Developed obstructions to decomposable Lagrangian cobordisms.
Utilized filtered invariants to detect non-existence of certain cobordisms.
Abstract
We provide a partial answer to a question of Ekholm, Honda, and K\'alm\'an 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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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology