Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Ray, Nigel"'
Autor:
Boote, Yumi, Ray, Nigel
The problem of computing the integral cohomology ring of the symmetric square of a topological space has been of interest since the 1930s, but limited progress has been made on the general case until recently. In this work we offer a solution for the
Externí odkaz:
http://arxiv.org/abs/1603.02066
We apply results of Harada, Holm and Henriques to prove that the Atiyah-Segal equivariant complex $K$-theory ring of a divisive weighted projective space (which is singular for nontrivial weights) is isomorphic to the ring of integral piecewise Laure
Externí odkaz:
http://arxiv.org/abs/1306.1641
Publikováno v:
Osaka J. Math. 51 (2014), 89-121
For any (n+1)-dimensional weight vector {\chi} of positive integers, the weighted projective space P(\chi) is a projective toric variety, and has orbifold singularities in every case other than CP^n. We study the algebraic topology of P(\chi), paying
Externí odkaz:
http://arxiv.org/abs/1109.2359
Publikováno v:
Fund. Math. 220 (2013), 217-226
We obtain two classifications of weighted projective spaces; up to homeomorphism and up to homotopy equivalence. We show that the former coincides with Al Amrani's classification up to isomorphism of algebraic varieties, and deduce the latter by prov
Externí odkaz:
http://arxiv.org/abs/1108.1938
Publikováno v:
Internat. Math. Research Notices 2010 (2010), 3207-3262
Our primary aim is to develop a theory of equivariant genera for stably complex manifolds equipped with compatible actions of a torus T^k. In the case of omnioriented quasitoric manifolds, we present computations that depend only on their defining co
Externí odkaz:
http://arxiv.org/abs/0908.3298
Publikováno v:
Math. Proc. Camb. Phil. Soc. 146 (2009), 395-405
We describe the integral equivariant cohomology ring of a weighted projective space in terms of piecewise polynomials, and thence by generators and relations. We deduce that the ring is a perfect invariant, and prove a Chern class formula for weighte
Externí odkaz:
http://arxiv.org/abs/0708.1581
Autor:
Panov, Taras, Ray, Nigel
Publikováno v:
Contemp. Math., 460, Amer. Math. Soc., Providence, RI, 2008, pp. 293-322.
We argue for the addition of category theory to the toolkit of toric topology, by surveying recent examples and applications. Our case is made in terms of toric spaces X_K, such as moment-angle complexes Z_K, quasitoric manifolds M, and Davis-Januszk
Externí odkaz:
http://arxiv.org/abs/0707.0300
Publikováno v:
Moscow Math. Journal 7 (2007), no. 2, 219-242
Our aim is to bring the theory of analogous polytopes to bear on the study of quasitoric manifolds, in the context of stably complex manifolds with compatible torus action. By way of application, we give an explicit construction of a quasitoric repre
Externí odkaz:
http://arxiv.org/abs/math/0609346
Autor:
Civan, Yusuf, Ray, Nigel
We describe Bott towers as sequences of toric manifolds M^k, and identify the omniorientations which correspond to their original construction as toric varieties. We show that the suspension of M^k is homotopy equivalent to a wedge of Thom complexes,
Externí odkaz:
http://arxiv.org/abs/math/0408261