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Zabrodsky Lecture 1 (Colloquium): Kenji Fukaya (SCGP) - Instanton Floer homology for 3 manifold with boundary

תאריך: 
ה', 24/03/202214:30-15:30
Title: Instanton Floer homology for 3 manifold with boundary

Abstract: In this talk I will explain an ongoing joint work with A. Daemi (and partially with M. Lipyanskiy) to build topological Field theory of dimension 2-3-4 based on Donaldson-Floer theory (Yang-Mills or ASD equation). The part which is completed so far is based on SO(3) bundle with nontrivial Stiefel-Whitney class, (to avoid a singularity of the moduli space). In such a case we can construct a topological field theory (some part is to be written). This problem is related to a conjecture by Atiyah and Floer which relate Instanton Floer homology (Gauge theory) to Lagrangian Floer theory (Symplectic geometry).


Live broadcast (and recording) link: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=21d372e3-6072...