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HOMFLYPT homology for links in handlebodies via type A Soergel bimodules

Published 19 Aug 2019 in math.QA and math.GT | (1908.06878v1)

Abstract: We define a triply-graded invariant of links in a genus g handlebody, generalizing the colored HOMFLYPT (co)homology of links in the 3-ball. Our main tools are the description of these links in terms of a subgroup of the classical braid group, and a family of categorical actions built from complexes of (singular) Soergel bimodules.

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