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On an inequality between unknotting number and crossing number of links
by
Junsuke Kanadome
Graduate School of Education, Waseda University
Coauthors: Ryo Hanaki
It is well known that for any knot K, twice the unknotting number of K is less than or equal to the crossing number of K minus one and for any link L, twice the unknotting number of L is less than or equal to the crossing number of L. Taniyama characterized the knots and links that satisfy the equalities. We characterize the links where twice the unknotting number is equal to the crossing number minus one.
Date received: November 30, 2008
Copyright © 2008 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caxq-43.