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An elementary fact about unlinked braid closures

2013/09/03 by J. Elisenda Grigsby, Grigsby, J. Elisenda, Stephan M. Wehrli +1
Computer Science · Mathematics · #20F36 #57M27 #57R58 #81R50 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1309.0759

openalex publication_date 2013/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let n be a positive integer. We provide a Khovanov homology proof of the following classical fact: If the closure of an n-strand braid is the n-component unlink, then the braid is trivial.

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