The equivariant cohomology of weighted projective space

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.

arXiv comment11 pages; improved exposition

References in corpus (1)

• Exact cohomology sequences with integral coefficients for torus actions

Cited by in corpus (5)

• On the Integral Cohomology Ring of Toric Orbifolds and Singular Toric Varieties
• Freeness of equivariant cohomology and mutants of compactified representations
• Generalized splines on arbitrary graphs
• GKM theory for orbifold stratified spaces and application to singular toric varieties
• Equivariant cohomology of torus orbifolds