Collection 2021 - T2 - Symplectic topology, contact topology and interactions

Organisateur(s) Colin, Vincent ; Humilière, Vincent ; Massot, Patrick ; Niederkrüger, Klaus ; Oancea, Alexandru ; Vaugon, Anne

Date(s) 19/04/2021 - 16/07/2021

URL associée https://indico.math.cnrs.fr/event/5767/

25 45

SFT-Style Rabinowitz complex for exact Lagrangian cobordisms and Calabi-Yau isomorphisms

De Noémie Legout

Apparaît également dans la 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.

Informations sur la vidéo

Date de captation 07/07/2022
Date de publication 07/07/2025
Institut IHP
Licence CC BY-NC-ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Marco Perez
Format MP4
Lieu IHP - Hermite Amphitheater

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Collection 2021 - T2 - Symplectic topology, contact topology and interactions

SFT-Style Rabinowitz complex for exact Lagrangian cobordisms and Calabi-Yau isomorphisms

Informations sur la vidéo

Dernières questions liées sur MathOverflow

Poser une question sur MathOverflow

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SFT-Style Rabinowitz complex for exact Lagrangian cobordisms and Calabi-Yau isomorphisms

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