Spectral Invariants via Contact Instanton Floer Theory in One-Jet Bundles

Title - HTML

Spectral Invariants via Contact Instanton Floer Theory in One-Jet Bundles

Nom de l'orateur
Seungook Yu
Etablissement de l'orateur
LMJL
Date et heure de l'exposé
19-12-2024 - 11:00:00
Lieu de l'exposé
Salle des séminaires
Résumé de l'exposé

Spectral invariants are essential tools for studying symplectic and contact rigidity, such as non-squeezing problems and camel problems, as well as Hamiltonian dynamics. These invariants have been constructed through various approaches. In this talk, we focus on the Floer-theoretic construction of Legendrian spectral invariants in one-jet bundles.

Typically, Floer theory on contact manifolds, such as one-jet bundles, involves the use of symplectization. However, in this talk, I will introduce the concept of contact instantons, which enables the construction of Legendrian Floer cohomology and its spectral invariants without relying on symplectization.

comments