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Triply-graded link homology and Hochschild homology of Soergel bimodules

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arxiv math/0510265 v3 pith:QB7PNIYS submitted 2005-10-12 math.GT math.QA

Mikhail Khovanov This is my paper · ORCID
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keywords homologybimoduleshochschildlinksoergeltriply-gradedcomplexesconstruction
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We trade matrix factorizations and Koszul complexes for Hochschild homology of Soergel bimodules to modify the construction of triply-graded link homology and relate it to Kazhdan-Lusztig theory.

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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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