HOMFLYPT homology for links in handlebodies via type A Soergel bimodules
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2019
- arXiv:
- arXiv:1908.06878
- Bibcode:
- 2019arXiv190806878R
- Keywords:
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- Mathematics - Quantum Algebra;
- Mathematics - Geometric Topology
- E-Print:
- 25 pages, lots of figures, comments welcome