Symmetric products of equivariantly formal spaces
Algebraic Topology
2019-08-15 v3 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1604.08273,
title = {Symmetric products of equivariantly formal spaces},
author = {Matthias Franz},
journal= {arXiv preprint arXiv:1604.08273},
year = {2019}
}
Comments
9 pages; minor changes