Semi-global Kuranishi charts and contact homology

Nom de l'orateur
Erkao Bao
Etablissement de l'orateur
LMJL
Date et heure de l'exposé
Lieu de l'exposé
Sallle des séminaires

Séminaire Nantes-Orsay de géométrie symplectique

Séminaire joint entre l'université Paris Saclay et Nantes université - Spécialisé en géometrie symplectique et de contact

Contact homology was proposed and studied by Eliashbergy, Givental and Hofer 16 years ago. It is a very powerful tool to distinguish different contact structures. However, the rigorous definition did not come out until last year. In this talk, we will first see that the naive definition does not work because the moduli spaces of J-holomorphic curves that we count to define the differential of contact homology are not transversally cut out. In order to achieve transversality, we will use a simplified version of the Kuranishi perturbation theory, consisting of "semi-global Kuranishi charts". This is a joint work with Ko Honda.