Katura Miyazaki

activity

20052019

most citedNetworking Seifert Surgeries on Knots III

2 citations · 2 across the 8 of their papers we have counts for

collaborators

8 papers

math.GT2019

When is a band-connected sum equal to the connected sum?

Katura Miyazaki

We show that a band-connected sum of knots $K_{0}$ and $K_{1}$ along a band $b$ is equal to the connected sum $K_{0} # K_{1}$ if and only if $b$ is a trivial band.

math.GT2018

A note on genera of band-connected sums that are fibered

Katura Miyazaki

We show that if a fibered knot $K$ is expressed as a band--connected sum of $K_{1}, \dots, K_{n}$ , then each $K_{i}$ is fibered, and the genus of $K$ is greater than or equal to that of…

math.GT2014

Seifert fibered surgeries on strongly invertible knots without primitive/Seifert positions

Mario Eudave-Munoz, Edgar Jasso, Katura Miyazaki +1

We find an infinite family of Seifert fibered surgeries on strongly invertible knots which do not have primitive/Seifert positions. Each member of the family is obtained from a tre…

math.GT2014

Neighbors of Seifert surgeries on a trefoil knot in the Seifert Surgery Network

Arnaud Deruelle, Katura Miyazaki, Kimihiko Motegi

A Seifert surgery is a pair (K, m) of a knot K in the 3-sphere and an integer m such that m-Dehn surgery on K results in a Seifert fiber space allowed to contain fibers of index ze…

math.GT2013★ 2 cited

Networking Seifert Surgeries on Knots III

Arnaud Deruelle, Katura Miyazaki, Kimihiko Motegi

How do Seifert surgeries on hyperbolic knots arise from those on torus knots? We approach this question from a networking viewpoint. The Seifert Surgery Network is a 1-dimensional…

math.GT2012

Networking Seifert Surgeries on Knots IV: Seiferters and branched coverings

Arnaud Deruelle, Mario Eudave-Munoz, Katura Miyazaki +1

A Seifert surgery is an integral surgery on a knot in S^3 producing a Seifert fiber space which may contain an exceptional fiber of index 0. The Seifert Surgery Network is a 1-dime…