Unoriented band surgery on knots and links

2011/12/12 by Tetsuya Abe, Abe, Tetsuya, Taizo Kanenobu +1
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #math.GT

paper · pdf · doi:10.48550/arxiv.1112.2449

22 pages

arxiv created 2011/12/12 · arxiv updated 2011/12/13

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.

Related

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