Séminaires : Géométrie énumérative

Equipe(s) : aa, tga,
Responsables :Penka Georgieva, Elba Garcia-Failde, Ilia Itenberg, Alessandro Chiodo
Email des responsables : penka.georgieva@imj-prg.fr
Salle : 1516 - 413
Adresse :Jussieu

URL: https://webusers.imj-prg.fr/~penka.georgieva/EGSeminar.html

Orateur(s) Albrecht Klemm - Universität Bonn,
Titre Topological String on compact Calabi-Yau threefolds
Horaire10:30 à 11:30
RésumeWe review the world-sheet derivation of the holomorphic anomaly equations fulfilled by the all genus topological string partition function $Z$ on Calabi-Yau 3-folds $M$. Interpreting $Z$ as a wave function on $H_3(M, R)$ these equations can be viewed as describing infinitesimal changes of the symplectic frame. A recursive solution for $Z$ to high genus is provided using modular building blocks obtained by the periods of $M$ as well as constraints on the local expansion of $Z$ near singular loci in the complex moduli space of M in appropriate symplectic frames. Some recent applications of these ideas to elliptic fibred Calabi-Yau spaces are given.
Salle1516 - 413