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arxiv: 0708.1581 · v3 · submitted 2007-08-11 · 🧮 math.AT · math.AG

The equivariant cohomology of weighted projective space

classification 🧮 math.AT math.AG
keywords projectiveweightedcohomologyequivariantringspacebundleschern
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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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