Knots without cosmetic crossings
Geometric Topology
2018-07-12 v2
Abstract
Let K' be a knot that admits no cosmetic crossing changes and let C be a non-trivial, prime, non-cable knot. Then any knot that is a satellite of C with winding number zero and pattern K' admits no cosmetic crossing changes. As a consequence we prove the nugatory crossing conjecture for Whitehead doubles of prime, non-cable knots.
Keywords
Cite
@article{arxiv.1406.1755,
title = {Knots without cosmetic crossings},
author = {Cheryl Jaeger Balm and Efstratia Kalfagianni},
journal= {arXiv preprint arXiv:1406.1755},
year = {2018}
}
Comments
To appear in Topology and Its Applications. arXiv admin note: substantial text overlap with arXiv:1301.6369