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Statut |
Confirmé |
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Série |
MATH-IHES |
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Domaines |
math-ph |
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Date |
Lundi 16 Mai 2022 |
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Heure |
11:30 |
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Institut |
IHES |
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Salle |
Amphithéâtre Léon Motchane |
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Nom de l'orateur |
Alexandrov |
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Prenom de l'orateur |
Alexander |
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Addresse email de l'orateur |
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Institution de l'orateur |
Center for Geometry and Physics, Pohang, Korea |
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Titre |
Cut-and-join Operators in Cohomological Field Theory and Topological Recursion |
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Résumé |
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.
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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
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