The equivariant cohomology of weighted projective space

Details The equivariant cohomology of weighted projective space The equivariant cohomology of weighted projective space

2007-08-11

arxiv.org/abs/0708.1581v3

Math. Proc. Camb. Phil. Soc. 146 (2009), 395-405

Mathematics

Algebraic Topology

11 pages; improved exposition

Scientific paper

10.1017/S0305004108001965

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.

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