Zobrazeno 1 - 10
of 216
pro vyhledávání: '"Kishimoto, Daisuke"'
We prove that the loop space of a quasitoric manifold is homotopy commutative if and only if the underlying polytope is $(\Delta^3)^n$ and the characteristic matrix is equivalent to a matrix of certain type. We also construct for each $n\ge 2$ and a
Externí odkaz:
http://arxiv.org/abs/2404.01510
We extend the former results of Ganea and the two of the authors with Takeda on the homotopy commutativity of the loop spaces of Hermitian symmetric spaces such that the loop spaces of all irreducible symmetric spaces but $\mathbb{C}P^3$ are not homo
Externí odkaz:
http://arxiv.org/abs/2309.12661
Autor:
Kishimoto, Daisuke, Minowa, Yuki
Beben and Theriault proved a theorem on the homotopy fiber of an extension of a map with respect to a cone attachment, which has produced several applications. We give a short and elementary proof of this theorem.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2308.10416
The van Kampen-Flores theorem states that the $d$-skeleton of a $(2d+2)$-simplex does not embed into $\mathbb{R}^{2d}$. We prove the van Kampen-Flores theorem for triangulations of manifolds satisfying a certain condition on their Stiefel-Whitney cla
Externí odkaz:
http://arxiv.org/abs/2304.08043
Autor:
Iriye, Kouyemon, Kishimoto, Daisuke
The Golodness of a simplicial complex is defined algebraically in terms of the Stanley-Reisner ring, and it has been a long-standing problem to find its combinatorial characterization. The tightness of a simplicial complex is a combinatorial analogue
Externí odkaz:
http://arxiv.org/abs/2302.02532
Let $\pi$ be a discrete group, and let $G$ be a compact connected Lie group. Then there is a map $\Theta\colon\mathrm{Hom}(\pi,G)_0\to\mathrm{map}_*(B\pi,BG)_0$ between the null-components of the spaces of homomorphism and based maps, which sends a h
Externí odkaz:
http://arxiv.org/abs/2302.01017
Let $M$ be a non-compact connected manifold with a cocompact and properly discontinuous action of a discrete group $G$. We establish a Poincar\'{e}-Hopf theorem for a bounded vector field on $M$ satisfying a mild condition on zeros. As an application
Externí odkaz:
http://arxiv.org/abs/2211.00512
Autor:
Kishimoto, Daisuke, Yushima, Yasutomo
A cosheaf is the dual notion of a sheaf, but we cannot define its homology as the formal dual of sheaf cohomology, in general, because of the lack of the cosheafification. A cellular cosheaf is a contravariant functor from the face poset of a CW comp
Externí odkaz:
http://arxiv.org/abs/2202.03659
Autor:
Kishimoto, Daisuke, Minowa, Yuki
Publikováno v:
In Topology and its Applications 1 October 2024 355
Ganea proved that the loop space of $\mathbb{C}P^n$ is homotopy commutative if and only if $n=3$. We generalize this result to that the loop spaces of all irreducible Hermitian symmetric spaces but $\mathbb{C}P^3$ are not homotopy commutative. The co
Externí odkaz:
http://arxiv.org/abs/2201.12948