3 papers
math.GT2025
bounds on the minimal genus of virtual links
Micah Chrisman, Killian Davis, Anup Poudel
For links , where is a closed orientable surface, we define a Reshetikhin-Turaev invariant with coefficients in $\mathbb{Z}[H…
math.GT2024
A determinant formula of the Jones polynomial for a family of braids
Derya Asaner, Sanjay Kumar, Melody Molander +2
In 2012, Cohen, Dasbach, and Russell presented an algorithm to construct a weighted adjacency matrix for a given knot diagram. In the case of pretzel knots, it is shown that after…
math.GT2024
Lie superalgebra invariants and almost classical knots
Micah Chrisman, Anup Poudel
A virtual link is said to be almost classical (AC) if it has a homologically trivial representative in some thickened surface , where is a closed orientable surf…