2 papers
math.GT2025
Analogue of Goeritz matrices for computation of bipartite HOMFLY-PT polynomials
A. Anokhina, D. Korzun, E. Lanina +1
The Goeritz matrix is an alternative to the Kauffman bracket and, in addition, makes it possible to calculate the Jones polynomial faster with some minimal choice of a checkerboard…
math.GT2024
Closed 4-braids and the Jones unknot conjecture
Dmitriy Korzun, Elena Lanina, Alexey Sleptsov
The Jones problem is a question whether there is a non-trivial knot with the trivial Jones polynomial in one variable . The answer to this fundamental question is still unknown…