Floer homology for Lagrangian cobordisms

Symplectic geometry and topology

13 October 14:00 - 15:00

Georgios Dimitroglou Rizell - Uppsala University

Abstract: Legendrian contact homology (LCH) is a Legendrian isotopy invariant. We introduce a version of wrapped Floer homology for pairs of Lagrangian cobordisms having Legendrian ends that admit augmentations. This theory is used to establish long exact sequences involving the singular homology of a Lagrangian cobordism and the linearised LCH of its Legendrian ends. As an application we show that an exact Lagrangian cobordism from a Legendrian sphere to itself necessarily is a concordance in high dimensions. This is joint work with B. Chantraine, P. Ghiggini and R. Golovko.
Tobias Ekholm,
Uppsala University
Yakov Eliashberg
Stanford University
Lenhard Ng
Duke University
Ivan Smith
University of Cambridge


Tobias Ekholm


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