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Equivariant cohomology of certain moduli of weighted pointed rational curves

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Abstract

We determine the action of the product of symmetric groups on the cohomology of certain moduli of weighted pointed rational curves. The moduli spaces that we study are of stable rational curves with m + n marked points where the first m marked points are distinct from all the others where as the last n may coincide among themselves. We give a recipe for calculating the equivariant Poincaré polynomials and list them for small m and n.

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  1. Indian Institute of Science Education and Research Pune, Pune, Maharashtra, India

    Chitrabhanu Chaudhuri

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  1. Chitrabhanu Chaudhuri
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Chaudhuri, C. Equivariant cohomology of certain moduli of weighted pointed rational curves. manuscripta math. 150, 137–150 (2016). https://doi.org/10.1007/s00229-015-0807-x

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