English

Khovanov homology and Lagrangian cobordisms

Geometric Topology 2025-12-05 v2 Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.2412.15351,
  title  = {Khovanov homology and Lagrangian cobordisms},
  author = {Gage Martin and Ina Petkova and Zachary Winkeler},
  journal= {arXiv preprint arXiv:2412.15351},
  year   = {2025}
}

Comments

9 pages, 1 figure. v2: accepted version