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Abstract
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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.
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Keywords
configuration space, cohomology ring, elliptic curve,
torus, representation theory
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Mathematical Subject Classification 2010
Primary: 55R80
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Publication
Received: 21 January 2019
Revised: 2 October 2019
Accepted: 26 January 2020
Published: 8 December 2020
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