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arXiv · 1604.08273

Symmetric products of equivariantly formal spaces

Matthias Franz
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Abstract

Let X be a CW complex with a continuous action of a topological group G. We show that if X is equivariantly formal for singular cohomology with coefficients in a field, then so are all symmetric products of X and in fact all its Gamma-products. In particular, symmetric products of quasi-projective M-varieties are again M-varieties. This generalizes a result by Biswas and D'Mello about symmetric products of M-curves. We also discuss several related questions.

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Matthias Franz. 2016-04-28. Symmetric products of equivariantly formal spaces. https://doi.org/10.4153/cmb-2017-032-0

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