Geodesic
The cohomology rings of the unordered configuration spaces of elliptic curves
Pagaria, Roberto1
1Scuola Normale Superiore, Pisa, Italy
Algebraic and Geometric Topology, Tome 20 (2020) no. 6, pp. 2995-3012
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We study the cohomology ring of the configuration space of unordered points in the two-dimensional torus. In particular, we compute the mixed Hodge structure on the cohomology, the action of the mapping class group, the structure of the cohomology ring and we prove the formality over the rationals.

Classification : 55R80
Keywords: configuration space, cohomology ring, elliptic curve, torus, representation theory

Pagaria, Roberto  1

1 Scuola Normale Superiore, Pisa, Italy 
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Pagaria, Roberto. The cohomology rings of the unordered configuration spaces of elliptic curves. Algebraic and Geometric Topology, Tome 20 (2020) no. 6, pp. 2995-3012. http://geodesic.mathdoc.fr/item/AGT_2020_20_6_a6/

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