Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) :
Responsables :O. Biquard, A. Deruelle, I. Itenberg, X. Ma
Email des responsables : {olivier.biquard, alix.deruelle, ilia.itenberg, xiaonan.ma}@imj-prg.fr
Salle : 15–25.502
Adresse :Jussieu
Description

Orateur(s) Penka Georgieva - IMJ-PRG,
Titre A Klein TQFT : the local real Gromov-Witten theory of curves
Date03/12/2019
Horaire14:00 à 15:00
Diffusion
Résume

I will explain how the local real GW theory of curves gives rise to a 2-dimensional Klein TQFT defined on an extension of the category of unorientable surfaces. We use this structure to completely solve the theory by providing a closed formula for the local real GW invariants in terms of representation theoretic data. As a corollary we obtain the local version of the real Gopakumar-Vafa formula. In the case of the resolved conifold the partition function of the real GW invariants agrees with that of the SO/Sp Chern-Simons theory on \(S^3\).

Salle15–25.502
AdresseJussieu
© IMJ-PRG