JournalsqtVol. 12, No. 2pp. 373–410

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules

  • David E. V. Rose

    University of North Carolina at Chapel Hill, USA

  • Daniel Tubbenhauer

    Universität Zürich, Switzerland
HOMFLYPT homology for links in handlebodies via type A Soergel bimodules cover
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Abstract

We define a triply-graded invariant of links in a genus handlebody, generalizing the colored HOMFLYPT (co)homology of links in the 3-sphere. 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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David E. V. Rose, Daniel Tubbenhauer, HOMFLYPT homology for links in handlebodies via type A Soergel bimodules. Quantum Topol. 12 (2021), no. 2, pp. 373–410

DOI 10.4171/QT/152