FLOER HOMOLOGY AND LAGRANGIAN CONCORDANCEReport as inadecuate




FLOER HOMOLOGY AND LAGRANGIAN CONCORDANCE - Download this document for free, or read online. Document in PDF available to download.

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 .





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

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



DOWNLOAD PDF




Related documents