Legendrian isotopy from a quantitative viewpoint
Vendredi, 8 Février, 2019 - 10:30
Résumé :
We use techniques of persistence homology applied to the Chekanov-Eliashberg algebra in order to obtain a restriction on the oscillatory norm of a contact Hamiltonian that displaces a Legendrian in the contact vector space from its image under the Reeb flow. These techniques are also used to show that a Legendrian which admits an augmentation cannot $C^0$-approximate a loose Legendrian. This is joint work with M. Sullivan.
Institution de l'orateur :
Uppsala
Thème de recherche :
Topologie
Salle :
4