Affiliation:
1. Department of Mathematics, Williams College, Williamstown, MA 01267, USA
Abstract
We will prove that there exists a link consisting of two components, each of which is individually unknotted, such that the link can be split with a single crossing change, however any such crossing change must knot one of the components.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
10 articles.
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1. A note on the weak splitting number;Proceedings of the American Mathematical Society;2021-01-21
2. Slice-torus Concordance Invariants and Whitehead Doubles of Links;CAN J MATH;2020
3. Splitting number of augmented links;Journal of Knot Theory and Its Ramifications;2018-05
4. Splitting numbers of links and the four-genus;Proceedings of the American Mathematical Society;2017-07-20
5. Twisted Alexander Invariants Detect Trivial Links;Canadian Mathematical Bulletin;2017-06-01