Report
Annular Khovanov homology and knotted Schur-Weyl representations
| العنوان: | Annular Khovanov homology and knotted Schur-Weyl representations |
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| المؤلفون: | Grigsby, J. Elisenda, Licata, Anthony M., Wehrli, Stephan M. |
| المصدر: | Compositio Math. 154 (2018) 459-502 |
| سنة النشر: | 2015 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Geometric Topology, Mathematics - Quantum Algebra, Mathematics - Representation Theory, 57M27, 81R50, 20F36 |
| الوصف: | 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 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1112/S0010437X17007540 |
| URL الوصول: | http://arxiv.org/abs/1505.04386 |
| رقم الانضمام: | edsarx.1505.04386 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1112/S0010437X17007540 |
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