A. Yasuhara

activity

20002004

n

-component Brunnian links up to

C_{n}

-move

2 citations · 2 across the 4 of their papers we have counts for

collaborators

Showing 2001Show all

4 papers · 1 filter

math.GT2001

Linking numbers in rational homology 3-spheres, cyclic branched covers and infinite cyclic covers

Jozef H. Przytycki, Akira Yasuhara

We study the linking numbers in a rational homology 3-sphere and in the infinite cyclic cover of the complement of a knot. They take values in $Q$ and in ${Q}({\Bbb Z}[t,t^{-1…

math.GT2001

Local moves on spatial graphs and finite type invariants

Kouki Taniyama, Akira Yasuhara

We define $A_{k}$ -moves for embeddings of a finite graph into the 3-sphere for each natural number $k$ . Let $A_{k}$ -equivalence denote an equivalence relation generated by $A_{k}$ -moves…

math.GT2001

$C_{k}$ -moves on spatial theta-curves and Vassiliev invariants

Akira Yasuhara

The $C_{k}$ -equivalence is an equivalence relation generated by $C_{k}$ -moves defined by Habiro. Habiro showed that the set of $C_{k}$ -equivalence classes of the knots forms an abelian g…

math.GT2001

Torus knots that cannot be untied by twisting

Mohamed Ait Nouh, Akira Yasuhara

We give a necessary condition for a torus knot to be untied by a single twisting. By using this result, we give infinitely many torus knots that cannot be untied by a single twisti…

Linking numbers in rational homology 3-spheres, cyclic branched covers and infinite cyclic covers

Local moves on spatial graphs and finite type invariants

Ck​-moves on spatial theta-curves and Vassiliev invariants

Torus knots that cannot be untied by twisting

$C_{k}$ -moves on spatial theta-curves and Vassiliev invariants