29 citations · 104 across the 13 of their papers we have counts for
14 papers · 1 filter
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…