English

The equivariant cohomology of weighted projective space

Algebraic Topology 2009-04-15 v3 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.0708.1581,
  title  = {The equivariant cohomology of weighted projective space},
  author = {Anthony Bahri and Matthias Franz and Nigel Ray},
  journal= {arXiv preprint arXiv:0708.1581},
  year   = {2009}
}

Comments

11 pages; improved exposition