3 papers
math.GT2026
HOMFLY Polynomials of the Torus Links
Norihisa Takahashi
We derive explicit formulas for the HOMFLY polynomials of the torus links using braid groups and the skein relation. We first treat the case of and then derive a…
math.AT2021
On a classification of irreducible periodic diffeomorphisms on surfaces which commute with certain involution
Norihisa Takahashi, Hiraku Nozawa
Ishizaka classified up to conjugacy hyperelliptic periodic automorphisms of a surface. Here, an involution on a surface is hyperelliptic if and only if $Σ_{g}/\langle I…
math.GT2019
Dehn twist presentations of hyperelliptic periodic diffeomorphisms on closed surfaces
Norihisa Takahashi, Hiraku Nozawa
We classify up to conjugacy the group generated by a commuting pair of a periodic diffeomorphism and a hyperelliptic involution on an oriented closed surface. This result can be vi…