01:35:26
published on July 4, 2025
Introduction to the Physics of the KPZ Universality Class (3/3)
By Kazumasa Takeuchi
SFT-Style Rabinowitz complex for exact Lagrangian cobordisms and Calabi-Yau isomorphisms
Appears in collection : Giroux 60 - Convexity in contact and symplectic topology
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.
