K-stable equivalence for knots in Heegaard surfaces

Details K-stable equivalence for knots in Heegaard surfaces K-stable equivalence for knots in Heegaard surfaces

2009-02-21

arxiv.org/abs/0902.3707v1

Mathematics

Geometric Topology

18 pages, 10 figures

Scientific paper

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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