31 citations · 111 across the 46 of their papers we have counts for
7 papers · 2 filters
Jacobi identity in polyhedral products
Daisuke Kishimoto, Takahiro Matsushita, Ryusei Yoshise
We show that a relation among minimal non-faces of a fillable complex yields an identity of iterated (higher) Whitehead products in a polyhedral product over . In particular…
The Stiefel-Whitney classes of moment-angle manifolds are trivial
Sho Hasui, Daisuke Kishimoto, Akatsuki Kizu
We prove that the Stiefel-Whitney classes of a moment-angle manifold, not necessarily smooth, are trivial. We also consider Stiefel-Whitney classes of the partial quotient of a mom…
Van Kampen-Flores theorem for cell complexes
Daisuke Kishimoto, Takahiro Matsushita
The van Kampen-Flores theorem states that the -skeleton of a -simplex does not embed into . We give two proofs for its generalization to a continuous ma…
Homotopy types of gauge groups over Riemann surfaces
Masaki Kameko, Daisuke Kishimoto, Masahiro Takeda
Let be a compact connected Lie group with . We study the homotopy types of gauge groups of principal -bundles over Riemann surfaces. This can be appli…
Torsion in the space of commuting elements in a Lie group
Daisuke Kishimoto, Masahiro Takeda
Let be a compact connected Lie group, and let be the space of pairwise commuting -tuples in . We study the problem of which primes $\ma…
Homotopy type of the unitary group of the uniform Roe algebra on
Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya
We study the homotopy type of the space of the unitary group $\U_1(C^\ast_u(|\mathbb{Z}^n|))$ of the uniform Roe algebra of . We show that…