Unobstructed Immersed Lagrangian Correspondence and Filtered ∞ Functor

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Fukaya, Kenji
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213183
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Unobstructed Immersed Lagrangian Correspondence and Filtered ∞ Functor. Kenji Fukaya. SIGMA 21 (2025), 031, 284 pages

In this paper, we 'construct' a 2-functor from the unobstructed immersed Weinstein category to the category of all filtered ∞ categories. We consider arbitrary (compact) symplectic manifolds and their arbitrary (relatively spin) immersed Lagrangian submanifolds. The filtered ∞ category ass...