Kenji Fukaya: Floer homology of exact Lagrangian submanifold of cotangent bundle&generating function
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Video recording for "Tsinghua-Tokyo workshop on Calabi-Yau," January 15-19, Fuji Kenshujyo (富士研修所), Fujiyoshida, Japan. **This recording is missing audio, unfortunately.**
[workshop webpage] https://indico.ipmu.jp/event/422/
[slides] Some slides are available from https://indico.ipmu.jp/event/422/page/1279-program-titles-and-abstracts
[abstract] Lagrangian submanifold of cotangent bundle is studied in two different ways.
One is usual Floer homology based on pseudo-holomorphic curve. The other is a finite
dimensional Morse theory of a function called generating function. In this talk based on
a joint work with A. Daemi I will explain they are equivalent. There are several mathematical works which are related to this point such as immersed Lagrangian Floer theory
of Akaho-Joyce, Legendrian contact homology by Chekanov-Eliashberg. A relation to the
story of micro local sheaf is also mentioned
[workshop webpage] https://indico.ipmu.jp/event/422/
[slides] Some slides are available from https://indico.ipmu.jp/event/422/page/1279-program-titles-and-abstracts
[abstract] Lagrangian submanifold of cotangent bundle is studied in two different ways.
One is usual Floer homology based on pseudo-holomorphic curve. The other is a finite
dimensional Morse theory of a function called generating function. In this talk based on
a joint work with A. Daemi I will explain they are equivalent. There are several mathematical works which are related to this point such as immersed Lagrangian Floer theory
of Akaho-Joyce, Legendrian contact homology by Chekanov-Eliashberg. A relation to the
story of micro local sheaf is also mentioned
