Výsledky vyhledávání - "Kamiyama, Yasuhiko"

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On the middle dimensional homology classes of equilateral polygon spaces

Autor: Kamiyama, Yasuhiko

Let $M_n$ be the configuration space of equilateral polygonal linkages with $n$ vertices in the Euclidean plane ${\mathbb R}^2$. We consider the case that $n$ is odd and set $n=2m+1$. In spite of the long history of research, the homology classes in

Externí odkaz: http://arxiv.org/abs/1507.03161

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The homology of spaces of polynomials with roots of bounded multiplicity

Autor: Kamiyama, Yasuhiko

Publikováno v: Geom. Topol. Monogr. 13 (2008) 281-291

Let P_{k, n}^l be the space consisting of monic complex polynomials f(z) of degree k and such that the number of n-fold roots of f(z) is at most l. In this paper, we determine the integral homology groups of P_{k, n}^l.
Comment: This is the vers

Externí odkaz: http://arxiv.org/abs/0904.0803

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Configurations and parallelograms associated to centers of mass

Autor: Cohen, F R, Kamiyama, Yasuhiko

Publikováno v: Geom. Topol. Monogr. 11 (2007) 17-32

The purpose of this article is to 1. define M(t,k) the t-fold center of mass arrangement for k points in the plane, 2. give elementary properties of M(t,k) and 3. give consequences concerning the space M(2,k) of k distinct points in the plane, no fou

Externí odkaz: http://arxiv.org/abs/0903.4867

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Spaces of real polynomials with common roots

Autor: Kamiyama, Yasuhiko

Publikováno v: Geom. Topol. Monogr. 10 (2007) 227-235

Let RX_{k,n}^l be the space consisting of all (n+1)-tuples (p_0(z),...,p_n(z)) of monic polynomials over R of degree k and such that there are at most l roots common to all p_i(z). In this paper, we prove a stable splitting of RX_{k,n}^l.
Commen

Externí odkaz: http://arxiv.org/abs/0903.4597

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The Chow ring of the moduli space and its related homogeneous space of bundles on P^2 with charge 1

Autor: Kamiyama, Yasuhiko, Tezuka, Michishige

For an algebraically closed field K with ch K \not = 2, we determine the Chow ring of the moduli space of holomorphic bundles on a projective plane with the structure group SO(n,K) and half the first Pontryagin index being equal to 1, each of which i

Externí odkaz: http://arxiv.org/abs/0704.1938

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