Trivializing number of positive knots
Kazuhiko Inoue
TL;DR
This paper determines the trivializing number for all minimal diagrams of positive 2-bridge knots and explores its relationship with the unknotting number for some of these knots.
Contribution
It provides the first complete calculation of the trivializing number for positive 2-bridge knots and investigates its connection to the unknotting number.
Findings
Trivializing number computed for all minimal diagrams of positive 2-bridge knots.
Established a relationship between trivializing number and unknotting number for certain positive 2-bridge knots.
Abstract
In this paper, we give the trivializing number of all minimal diagrams of positive 2-bridge knots, and study the relation between the trivializing number and the unknotting number for a part of these knots.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models