15 citations · 40 across the 3 of their papers we have counts for
3 papers
hep-th2020★ 15 cited
Distinguishing Mutant Knots
L. Bishler, Saswati Dhara, T. Grigoryev +6
Knot theory is actively studied both by physicists and mathematicians as it provides a connecting centerpiece for many physical and mathematical theories. One of the challenging pr…
hep-th2020★ 15 cited
Perspectives of differential expansion
L. Bishler, A. Morozov
We outline the current status of the differential expansion (DE) of colored knot polynomials i.e. of their -- decomposition into representation-- and knot--dependent parts. I…
hep-th2014★ 10 cited
Evolution method and HOMFLY polynomials for virtual knots
Ludmila Bishler, Alexei Morozov, Andrey Morozov +1
Following the suggestion of arXiv:1407.6319 to lift the knot polynomials for virtual knots and links from Jones to HOMFLY, we apply the evolution method to calculate them for an in…