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Georgios Dimitroglou Rizell

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.


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