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Unoriented band surgery on knots and links (1112.2449v1)
Published 12 Dec 2011 in math.GT
Abstract: 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 S3 spanning the knot and the trivial knot. We also give several examples for these numbers.
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