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On two types of Heegaard diagram used in knot Floer homology

2018/08/01 by Andrew Manion, Manion, Andrew
Mathematics · #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25

paper · pdf · doi:10.48550/arxiv.1808.00502

30 pages; 48 figures

arxiv created 2018/08/01 · arxiv updated 2018/08/03

Abstract

In this brief note, we give an explicit sequence of Heegaard moves interpolating between local versions of the Kauffman-states Heegaard diagram and the planar Heegaard diagram used in knot Floer homology, and show how these local moves can be used to go between the global versions of the Heegaard diagrams.

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