4 papers · 1 filter
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…
Classification of generalized torsion elements of order two in 3-manifold groups
Keisuke Himeno, Kimihiko Motegi, Masakazu Teragaito
Let be a group and a non-trivial element in . If some non-empty finite product of conjugates of equals to the identity, then is called a generalized torsion elem…
New family of hyperbolic knots whose Upsilon invariants are convex
Keisuke Himeno
The Upsilon invariant of a knot is a concordance invariant derived from knot Floer homology theory. It is a piecewise linear continuous function defined on the interval . Bo…