5 papers
The bridge index and the braid index for twist positive knots
Keisuke Himeno
In general, the bridge index of a knot is less than or equal to its braid index. A natural question is when these two values coincide. Motivated by a conjecture of Krishna and Mort…
Non-braid positive hyperbolic -space knots
Keisuke Himeno
An -space knot is a knot that admits a positive Dehn surgery yielding an -space. Many known hyperbolic -space knots are braid positive, meaning they can be represented as…
The unoriented band unknotting numbers of torus knots
Keisuke Himeno
The unoriented band unknotting number of a knot is the minimum number of oriented or non-oriented band surgeries that turn the knot into the unknot. Batson introduced a certain non…
Hyperbolic knots with arbitrarily large torsion order in knot Floer homology
Keisuke Himeno, Masakazu Teragaito
In knot Floer homology, there are two types of torsion order. One is the minimal power of the action of the variable to annihilate the -torsion submodule of th…
Twisted right-angled Artin groups embedded in knot groups
Keisuke Himeno, Masakazu Teragaito
Twisted right-angled Artin groups are defined through presentation based on mixed graphs. Each vertex corresponds to a generator, each undirected edge yields a commuting relation a…