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Annular Khovanov homology and knotted Schur-Weyl representations

Grigsby, J Elisenda; Licata, Anthony; Wehrli, Stephan M


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.

CollectionsANU Research Publications
Date published: 2018
Type: Journal article
Source: Compositio Mathematica
DOI: 10.1112/S0010437X17007540


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