3 papers
math.AT2026
Topological complexity sequences of groups
Daisuke Kishimoto, Yuki Minowa
We define the topological complexity sequence of a group as the sequence of topological complexities of its Milnor constructions. This sequence may be regarded as an intrinsic refi…
math.AT2026
Moment angle complexes and duality for tight manifolds
Daisuke Kishimoto, Donald Stanley, Carlos Gabriel Valenzuela Ruiz
For a field and a triangulated compact -orientable manifold, consider the homology of the associated Moment-Angle ccomplex …
math.GT2025
On the embeddability of skeleta of manifold triangulations
Daisuke Kishimoto, Takahiro Matsushita
We show a criterion for a skeleton of a manifold triangulation being embeddable into Euclidean space in terms of the complement of a submanifold. As an application, we obtain embed…