Mathematical Proceedings of the Cambridge Philosophical Society

Table of Contents - 2009 - Volume 146, Issue 02  

Research Article

The equivariant cohomology ring of weighted projective space

ANTHONY BAHRIa1, MATTHIAS FRANZa2 and NIGEL RAYa3

a1 Department of Mathematics, Rider University, Lawrenceville, NJ 08648, U.S.A. e-mail: bahri@rider.edu

a2 Department of Mathematics, University of Western Ontario, London, ON N6A 5B7, Canada e-mail: mfranz@uwo.ca

a3 School of Mathematics, University of Manchester, Manchester M13 9PL. e-mail: nigel.ray@manchester.ac.uk

Abstract

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 weighted projective bundles.

(Received April 28 2008)

(Revised June 17 2008)