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Annular Khovanov homology and knotted Schur-Weyl representations

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Date

2018

Authors

Grigsby, J Elisenda
Licata, Anthony
Wehrli, Stephan M

Journal Title

Journal ISSN

Volume Title

Publisher

London Mathematical Society

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.

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Citation

URI

http://hdl.handle.net/1885/251059

Collections

ANU Research Publications

Source

Compositio Mathematica

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1112/S0010437X17007540

Restricted until

2099-12-31

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01_Grigsby_Annular_Khovanov_homology_and_2018.pdf (1.06 MB)

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