Annular Khovanov homology and knotted Schur-Weyl representations

J. Elisenda Grigsby, Anthony M. Licata, Stephan Martin Wehrli

Research output: Contribution to journalArticle

3 Scopus citations

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 languageEnglish (US)
Pages (from-to)459-502
Number of pages44
JournalCompositio Mathematica
Volume154
Issue number3
DOIs
StatePublished - Mar 1 2018

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint Dive into the research topics of 'Annular Khovanov homology and knotted Schur-Weyl representations'. Together they form a unique fingerprint.

  • Cite this