3 papers
math.GT2026
Decompositions of good involutions on quandles
Yasuhito Nakajima, Kentaro Yamaguchi
We study the behavior of good involutions under two fundamental constructions of quandles: interaction-free unions and direct products. In particular, we show that the set of good…
math.GT2026
On the nonexistence of good involutions of symplectic quandles
Yasuhito Nakajima, Kentaro Yamaguchi
We investigate the necessary and sufficient condition for the existence of good involutions of symplectic quandles, which are defined on free -modules with an antisymmetric bili…
math.SG2024
Delzant type theorem for torus-equivariantly embedded toric hypersurfaces
Kentaro Yamaguchi
In the previous work, we study the moment polytope of the closure of the complex subtorus orbit in a symplectic toric manifold associated to an affine subspace when the closure is…