Geodesic
Symmetric Products of Equivariantly Formal Spaces
Canadian mathematical bulletin, Tome 61 (2018) no. 2, pp. 272-281

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DOI

Let $X$ be a $\text{CW}$ complex with a continuous action of a topological group $G$ . We show that if $X$ is equivariantly formal for singular cohomology with coefficients in 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 $\text{M}$ -varieties are again $\text{M}$ -varieties. This generalizes a result by Biswas and D’Mello about symmetric products of $\text{M}$ -curves. We also discuss several related questions.
DOI : 10.4153/CMB-2017-032-0
Mots-clés : 55N91, 55S15, 14P25, symmetric product, equivariant formality, maximal variety, Gamma product 
Franz, Matthias. Symmetric Products of Equivariantly Formal Spaces. Canadian mathematical bulletin, Tome 61 (2018) no. 2, pp. 272-281. doi: 10.4153/CMB-2017-032-0
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     title = {Symmetric {Products} of {Equivariantly} {Formal} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {272--281},
     year = {2018},
     volume = {61},
     number = {2},
     doi = {10.4153/CMB-2017-032-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-032-0/}
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