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Alexander Alexandrov : Cut-and-join operators in cohomological field theory

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mercredi 04 mai 2022 mercredi 04 mai 2022
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We construct a cubic cut-and-join operator description for the partition functions of all semi-simple cohomological field theories, and, more generally, for the partition functions of the Chekhov-Eynard-Orantin topological recursion on a possibly irregular local spectral curve. The cut-and-join description leads to an algebraic version of topological recursion. For the same partition functions, we also derive N families of the Virasoro constraints and prove that these constraints, supplemented by a deformed dimension constraint, imply the cut-and-join description.

The talk is based on arXiv:2202.09090.

 
https://indico.math.cnrs.fr/event/7700/

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indico-event-7700@indico.math.cnrs.fr
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ical
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https://indico.math.cnrs.fr/event/7700/

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