Abstract
Let be a link in a thickened annulus. We show that its sutured annular Khovanov homology carries an action of , the exterior current algebra of . When is an -framed -cable of a knot , its sutured annular Khovanov homology carries a commuting action of the symmetric group . One therefore obtains a 'knotted' Schur-Weyl representation that agrees with classical Schur-Weyl duality when is the Seifert-framed unknot.
Original language | English (US) |
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Pages (from-to) | 459-502 |
Number of pages | 44 |
Journal | Compositio Mathematica |
Volume | 154 |
Issue number | 3 |
DOIs | |
State | Published - Mar 1 2018 |
ASJC Scopus subject areas
- Algebra and Number Theory