The Bar-Natan skein module of the solid torus and the homology of (n,n) Springer varieties

Details The Bar-Natan skein module of the solid torus and the homology of (n,n) Springer varieties The Bar-Natan skein module of the solid torus and the homology of (n,n) Springer varieties

2008-05-02

arxiv.org/abs/0805.0286v1

Geom. Dedicata 142 (2009), 71-89

Mathematics

Geometric Topology

17 pages, many figures

Scientific paper

This paper establishes an isomorphism between the Bar-Natan skein module of the solid torus with a particular boundary curve system and the homology of the (n,n) Springer variety. The results build on Khovanov's work with crossingless matchings and the cohomology of the (n,n) Springer variety. We also give a formula for comultiplication in the Bar-Natan skein module for this specific three-manifold and boundary curve system.

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