Khovanov homology and Lagrangian cobordisms

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.

Authors

Gage Martin (ORCID: https://orcid.org/0000-0002-2735-2677)
Ina Petkova (ORCID: https://orcid.org/0000-0002-1332-3752)
Zachary Winkeler

Publication Details

Journal: Proceedings of the American Mathematical Society
Published: 2026-01-28
DOI: https://doi.org/10.1090/proc/17618
Primary Topic: Geometric and Algebraic Topology
Type: article
Field-Weighted Citation Impact: 0.00

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article

Khovanov homology and Lagrangian cobordisms

Gage Martin, Ina Petkova, Zachary Winkeler

Jan 28, 2026

Proceedings of the American Mathematical Society

Geometric and Algebraic Topology

article

Khovanov homology and Lagrangian cobordisms

Gage Martin, Ina Petkova, Zachary Winkeler

January 28, 2026article en

Abstract

Proceedings of the American Mathematical Society

Openalex Percentile: Top 69%

Geometric and Algebraic Topology

DOI Source OpenAlex

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Khovanov homology and Lagrangian cobordisms — Gage Martin, Ina Petkova, et al. · Proceedings of the American Mathematical Society (2026) | TGRS Research Map | TGRS