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The equivariant cohomology ring of weighted projective space

Published online by Cambridge University Press:  01 March 2009

ANTHONY BAHRI ,
MATTHIAS FRANZ  and
NIGEL RAY
ANTHONY BAHRI
Affiliation:
Department of Mathematics, Rider University, Lawrenceville, NJ 08648, U.S.A. e-mail: bahri@rider.edu
MATTHIAS FRANZ
Affiliation:
Department of Mathematics, University of Western Ontario, London, ON N6A 5B7, Canada e-mail: mfranz@uwo.ca
NIGEL RAY
Affiliation:
School of Mathematics, University of Manchester, Manchester M13 9PL. e-mail: nigel.ray@manchester.ac.uk
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 146 , Issue 2 , March 2009 , pp. 395 - 405
Copyright
Copyright © Cambridge Philosophical Society 2008

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References

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