3 papers
math.GT2026
The generalized volume conjecture for the figure-eight knot parametrized by a complex number with small imaginary part
Hitoshi Murakami
We study the asymptotic behavior, as tends to infinity, of the -dimensional colored Jones polynomial of the figure-eight knot, evaluated at for a complex paramet…
cs.DS2024
An FPT Algorithm for the Exact Matching Problem and NP-hardness of Related Problems
Hitoshi Murakami, Yutaro Yamaguchi
The exact matching problem is a constrained variant of the maximum matching problem: given a graph with each edge having a weight or and an integer , the goal is to find…
math.GT2023
The colored Jones polynomial of the figure-eight knot and an -representation
Hitoshi Murakami
We study the asymptotic behavior of the -dimensional colored Jones polynomial of the figure-eight knot, evaluated at as tends to infinit…