2 papers
math.GT2016
Periodicity Properties of the Colored Jones Polynomial
Hiroki Murakami
The "color" in the colored Jones polynomial is an integer parameter. In this paper, a periodic pattern of the values of the colored Jones polynomial at the second and the third roo…
math.GT2016
A Note on Alternating Links and Root Polytopes
Hiroki Murakami
In this paper, a relationship between the determinant of an alternating link and a certain polytope obtained from the link diagram is analyzed. We also show that when the underlyin…