Linking forms of amphichiral knots

2017/06/24 by Stefan Friedl, Friedl, Stefan, Allison N. Miller +3 · 1 citation
Mathematics · #57M25 #57M27 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M25 #msc:57M27

paper · pdf · doi:10.48550/arxiv.1706.07940

Version 2 has a new title to better reflect what is new in the paper, and historical references have been updated. 7 pages

openalex publication_date 2017/06/24 · arxiv created 2017/07/06 · arxiv updated 2017/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a simple obstruction for a knot to be amphichiral, in terms of the homology of the 2-fold branched cover. We work with unoriented knots, and so obstruct both positive and negative amphichirality.

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