29 citations · 104 across the 13 of their papers we have counts for
14 papers
On the symmetric squares of complex and quaternionic projective space
Yumi Boote, Nigel Ray
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…
The equivariant -theory and cobordism rings of divisive weighted projective spaces
Megumi Harada, Tara S. Holm, Nigel Ray +1
We apply results of Harada, Holm and Henriques to prove that the Atiyah-Segal equivariant complex -theory ring of a divisive weighted projective space (which is singular for non…
Weighted projective spaces and iterated Thom spaces
Anthony Bahri, Matthias Franz, Nigel Ray
For any (n+1)-dimensional weight vector χ of positive integers, the weighted projective space P(χ) is a projective toric variety, and has orbifold singularities in every case other…
The classification of weighted projective spaces
Anthony Bahri, Matthias Franz, Dietrich Notbohm +1
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 u…
The KO*-rings of BT^m, the Davis-Januszkiewicz Spaces and certain toric manifolds
L. Astey, A. Bahri, M. Bendersky +6
This paper contains an explicit computation of the KO*-ring structure of an m-fold product of CP^{\infty}, the Davis-Januszkiewicz spaces and toric manifolds which have trivial Sq^…
Toric Genera
Victor M. Buchstaber, Taras E. Panov, Nigel Ray
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 ma…