Unoriented band surgery on knots and links

Details Unoriented band surgery on knots and links Unoriented band surgery on knots and links

2011-12-12

arxiv.org/abs/1112.2449v1

Mathematics

Geometric Topology

22 pages

Scientific paper

We consider a relation between two kinds of unknotting numbers defined by
using a band surgery on unoriented knots; the band-unknotting number and
H(2)-unknotting number, which we may characterize in terms of the first Betti
number of surfaces in S^3 spanning the knot and the trivial knot. We also give
several examples for these numbers.

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