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Diagrammatics for Soergel categories

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arxiv 0902.4700 v2 pith:X2C5BFPN submitted 2009-02-26 math.RT math.QA

Ben Elias , Mikhail Khovanov This is my paper · ORCID
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keywords groupcategorylocalsoergelweylalgebrabimodulescategories
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The monoidal category of Soergel bimodules can be thought of as a categorification of the Hecke algebra of a finite Weyl group. We present this category, when the Weyl group is the symmetric group, in the language of planar diagrams with local generators and local defining relations.

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  1. HOMFLYPT homology for links in handlebodies via type A Soergel bimodules

    math.QA 2019-08 accept novelty 7.0 of 10

    Links in genus-g handlebodies are assigned a triply-graded homology built from singular Soergel bimodules and Hochschild cohomology, generalizing colored HOMFLYPT homology.

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