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Sutured Khovanov homology distinguishes braids from other tangles

2013/05/09 by J. Elisenda Grigsby, Grigsby, J. Elisenda, Yi Ni +1
Mathematics · Medicine · #57M27 #57R58 #81R50 #Botulinum Toxin and Related Neurological Disorders #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.GT #math.QA #math.RT #msc:57M27 #msc:57R58 #msc:81R50

paper · pdf · doi:10.48550/arxiv.1305.2183

9 pages, 1 figure, Definition of sutured annular Khovanov homology in Section 2.1 has significant text overlap with arXiv:1212.2222; Version 2 incorporates referee comments. This is the version accepted for publication in Mathematical Research Letters

openalex publication_date 2013/05/09 · arxiv created 2014/08/25 · arxiv updated 2014/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the sutured Khovanov homology of a balanced tangle in the product sutured manifold D x I has rank 1 if and only if the tangle is isotopic to a braid.

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