Lagrangian Floer Homology and Mirror Symmetry

授课人:Kenji Fukaya

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    Lagrangian Floer Homology;    Mirror Symmetry;   

加拿大|英语

【 摘 要 】

This is a survey of Lagrangian Floer homology which I developed together with Y.G.-Oh, Hiroshi Ohta, and Kaoru Ono. I will focus on its relation to (homological) mirror symmetry. The topic discussed include Definition of filtered A infinity algebra associated to a Lagrangian submanifold and its categorification.Its family version and how it is related to mirror symmetry.Some example including toric manifold. Calculation in that case and how mirror symmetry is observed from calculation.

【 授权许可】

CC BY-NC-ND   
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