On Gradings in Khovanov homology and sutured Floer homology

2010/10/18 by J. Elisenda Grigsby, Grigsby, J. Elisenda, Stephan M. Wehrli +1
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1010.3727

openalex publication_date 2010/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss generalizations of Ozsvath-Szabo's spectral sequence relating Khovanov homology and Heegaard Floer homology, focusing attention on an explicit relationship between natural Z (resp., 1/2 Z) gradings appearing in the two theories. These two gradings have simple representation-theoretic (resp., geometric) interpretations, which we also review.

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