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The cohomology rings of the unordered configuration spaces of elliptic curves

Roberto Pagaria

Algebraic & Geometric Topology 20 (2020) 2995–3012
DOI: 10.2140/agt.2020.20.2995

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.

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configuration space, cohomology ring, elliptic curve, torus, representation theory
Mathematical Subject Classification 2010
Primary: 55R80
Received: 21 January 2019
Revised: 2 October 2019
Accepted: 26 January 2020
Published: 8 December 2020
Roberto Pagaria
Scuola Normale Superiore