On Gradings in Khovanov homology and sutured Floer homology

Details On Gradings in Khovanov homology and sutured Floer homology On Gradings in Khovanov homology and sutured Floer homology

2010-10-18

arxiv.org/abs/1010.3727v1

Mathematics

Geometric Topology

17 pages, 5 figures, to be submitted to Proceedings of Jaco's 70th Birthday Conference, 2010

Scientific paper

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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