Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série SEM-DARBOUX
Domaines hep-th,math.AG
Date Jeudi 1 Juin 2023
Heure 11:00
Institut LPTHE
Salle bibliothèque du LPTHE, tour 13-14, 4eme étage
Nom de l'orateur Givental
Prenom de l'orateur Alexander
Addresse email de l'orateur
Institution de l'orateur UC Berkeley
Titre Chern-Euler intersection theory and Gromov-Witten invariants
Résumé Abstract: In the talk I will outline our (joint with Irit Huq-Kuruvilla) attempt to develop the theory of Gromov-Witten invariants based on Euler characteristics rather than intersection numbers. The purely homotopy-theoretic aspects of the story begin with the observation that in the category of stably almost complex manifolds the usual Euler characteristic is bordism-invariant. This leads to the abstract cohomology theory where the intersection of (stably almost complex) cycles is defined as the Euler characteristic of their transverse intersection, and where the total Chern class occurs in the role of the abstract Todd class. Our goal, however, is to apply this idea in the context of Gromov-Witten (GW) theory. The plan for the talk includes three elements: (i) some preliminaries on complex cobordisms, (ii) the thick-brush overview of why the Chern-Euler GW-theory might be interesting, and (iii) a simplest example dealing with the Euler characteristics of Deligne-Mumford spaces factorized by permutations of marked points.
Numéro de preprint arXiv
Commentaires
Fichiers attachés
  • Givental_DarbouxJuin2023.pdf (295717 bytes) OPEN

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