Katura Miyazaki

activity

20052019

collaborators

3 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.GT2005

Seifert fibered surgeries which do not arise from primitive/Seifert-fibered constructions

Thomas W. Mattman, Katura Miyazaki, Kimihiko Motegi

We construct two infinite families of knots each of which admits a Seifert fibered surgery with none of these surgeries coming from Dean's primitive/Seifert-fibered construction. T…