1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.CO2019
On PM-mapping class monoids
Toshinori Miyatani
In this paper, we introduce PM-mapping class monoids. Braid groups and mapping class groups have many features in common. Similarly to the notion of braid PM-monoid, PM-mapping cla…
math.CO2019
On knot semigroups and Gelfand-Kirillov dimensions
Toshinori Miyatani
A knot semigroup is defined by A. Vernitski. A. Vernitski conjectured that the knot semigroup of the 2-bridge knot is isomorphic to an alternating sum semigroup. To support this co…
math.CO2019★ 1 cited
On PM-monoids and braid PM-monoids
Toshinori Miyatani
In this paper, we shall introduce two monoids. One is called a PM-monoid which contains the symmetric group, the other is called a braid PM-monoid which contains the braid group. W…