HOMFLYPT homology for links in handlebodies via type A Soergel bimodules
We define a triply-graded invariant of links in a genus g 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 complex...
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| Veröffentlicht in: | Quantum topology 2021-01, Vol.12 (2), p.373-410 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We define a triply-graded invariant of links in a genus
g
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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| ISSN: | 1663-487X 1664-073X |
| DOI: | 10.4171/qt/152 |