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arXiv:0902.3707 [math.GT]AbstractReferencesReviewsResources

K-stable equivalence for knots in Heegaard surfaces

Alice Stevens

Published 2009-02-21Version 1

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.

Comments: 18 pages, 10 figures
Categories: math.GT
Subjects: 57M25
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