Inductive limit which appears in Lagrangian Floer theory | Vidéo | Carmin.tv

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Inductive limit which appears in Lagrangian Floer theory

By Kenji Fukaya

Appears in collection : From Hamiltonian Dynamics to Symplectic Topology

For a given symplectic manifold and a finite set of Lagrangian submanifolds which intersect transversally each other we can construct an $A_{\infty }$-category. When we consider Lagrangian submanifolds which are not necessary intersect transversally there are issues to perform such a construction. In this talk I want to explain a way to study this situation. It can be used to compose Lagrangian correspondences without assuming transversality.

Information about the video

Date of recording 27/04/2021
Date of publication 17/05/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19750403
Cite this video FUKAYA, Kenji (27/04/2021). Inductive limit which appears in Lagrangian Floer theory. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19750403
URL https://dx.doi.org/10.24350/CIRM.V.19750403

Domain(s)

Bibliography

FUKAYA, Kenji. Gromov-Hausdorff convergence of filtered A infinity categories, in preparation.
FUKAYA, Kenji, OH, Yong-Geun, OHTA, Hiroshi, et al. Lagrangian intersection Floer theory: anomaly and obstruction, Part II. American Mathematical Soc., 2010.
FUKAYA, Kenji. Unobstructed immersed Lagrangian correspondence and filtered A infinity functor. arXiv preprint arXiv:1706.02131, 2017. - https://arxiv.org/abs/1706.02131

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