K-stable equivalence for knots in Heegaard surfaces

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.

18 pages, 10 figures

Cited by in corpus (1)

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