We will define a Floer complex (the "Rabinowitz" complex) associated to a pair of exact Lagrangian cobordisms, using SFT techniques. This complex is a DG-bimodule over the Chekanov-Eliashberg algebras of the Legendrian submanifolds in the negative end of the cobordisms. We will use this complex and its properties to show that the Chekanov-Eliashberg algebra of an horizontally displaceable Legendrian sphere satisfies some Calabi-Yau property, namely that it is quasi-isomorphic as a DG-bimodule over itself to its inverse dualizing bimodule.
De Mélanie Bertelson
De Jean-Paul Mohsen
De Mohammed Abouzaid
De Ailsa Keating
De Daniel Alvarez-Gavela
De Kyler Siegel
De András Stipsicz
De Ko Honda
De Yu Pan
De Oleg Lazarev
De Paul Biran
De Gérard Ben Arous
