3 citations · 8 across the 4 of their papers we have counts for
5 papers
Knots without cosmetic crossings
Cheryl Jaeger Balm, Efstratia Kalfagianni
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 pat…
Cosmetic crossings of twisted knots
Cheryl Balm, Efstratia Kalfagianni
We prove that the property of admitting no cosmetic crossing changes is preserved under the operation of forming certain satellites of winding number zero. We also define strongly…
Generalized crossing changes in satellite knots
Cheryl Balm
We show that if K is a satellite knot which admits a generalized cosmetic crossing change of order q with |q| \geq 6, then K admits a pattern knot with a generalized cosmetic cross…
Cosmetic crossings and Seifert matrices
Cheryl Balm, Stefan Friedl, Efstratia Kalfagianni +1
We study cosmetic crossings in knots of genus one and obtain obstructions to such crossings in terms of knot invariants determined by Seifert matrices. In particular, we prove that…
Cosmetic crossings of genus one knots
Cheryl Balm, Efstratia Kalfagianni
We show that for genus one knots the Alexander polynomial and the homology of the double cover branching over the knot provide obstructions to cosmetic crossings. As an application…