Symmetric products of equivariantly formal spaces
Let \(X\) be a CW complex with a continuous action of a topological
We show that if \(X\) is equivariantly formal for singular
with coefficients in some field \(\Bbbk\), 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.
symmetric product, equivariant formality, maximal variety, Gamma product
55N91 - Equivariant homology and cohomology [See also 19L47]
55S15 - Symmetric products, cyclic products
14P25 - Topology of real algebraic varieties