K-stable equivalence for knots in Heegaard surfaces

2009/02/21 by Alice Stevens, Stevens, Alice · 1 citation
Mathematics · #Advanced Operator Algebra Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M25

paper · pdf · doi:10.48550/arxiv.0902.3707

18 pages, 10 figures

arxiv created 2009/02/21 · arxiv updated 2009/12/01

Abstract

Let K be a knot embedded in a Heegaard surface S for a closed orientable 3-manifold M. We define K-stable equivalence between pairs (S, K) and (S', K) in M, and we prove that any two pairs are K-stably equivalent in M if they have the same surface slope.

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