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.
By Mélanie Bertelson
By Jean-Paul Mohsen
By Mohammed Abouzaid
By Ailsa Keating
By Daniel Alvarez-Gavela
By Kyler Siegel
By András Stipsicz
By Ko Honda
By Yu Pan
By Oleg Lazarev
By Paul Biran
By Ana Rechtman
By Albert Schwarz
By Albert Schwarz
By Juan Camilo Arosemena Serrato
By Pieter Spaas
By Francesca Arici
By Amine Marrakchi
