Annular Khovanov homology and knotted Schur-Weyl representations

Autor:	Grigsby, J. Elisenda, Licata, Anthony M., Wehrli, Stephan M.
Rok vydání:	2015
Předmět:	Mathematics - Geometric Topology Mathematics - Quantum Algebra Mathematics - Representation Theory 57M27 81R50 20F36
Zdroj:	Compositio Math. 154 (2018) 459-502
Druh dokumentu:	Working Paper
DOI:	10.1112/S0010437X17007540
Popis:	Let L be a link in a thickened annulus. We show that its sutured annular Khovanov homology carries an action of the exterior current algebra of the Lie algebra sl_2. When L is an m-framed n-cable of a knot K in the three-sphere, its sutured annular Khovanov homology carries a commuting action of the symmetric group S_n. One therefore obtains a "knotted" Schur-Weyl representation that agrees with classical sl_2 Schur-Weyl duality when K is the Seifert-framed unknot. Comment: 38 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1505.04386 Zobrazit plný text záznamu View this record from Arxiv