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1 LMJL - Laboratoire de Mathématiques Jean Leray 2 CAM - University of Cambridge UK 3 Alfred Renyi Mathematical Institute

Abstract : We derive constraints on Lagrangian concordances from Legendrian submanifolds of the standard contact sphere admitting exact Lagrangian fillings.
More precisely, we show that such a concordance induces an isomorphism on the level of bilinearised Legendrian contact cohomology.
This is used to prove the existence of non-invertible exact Lagrangian concordances in all dimensions.
In addition, using a result of Eliashberg-Polterovich, we completely classify exact Lagrangian concordances from the Legendrian unknot to itself in the tight contact-three sphere: every such concordance is the trace of a Legendrian isotopy.
We also discuss a high dimensional topological result related to this classification .






Autor: Baptiste Chantraine - Georgios Dimitroglou Rizell - Paolo Ghiggini - Roman Golovko -

Fuente: https://hal.archives-ouvertes.fr/



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