XXXVIII Workshop on Geometric Methods in Physics 30.06-6.07.2019
VIII School on Geometry and Physics 24-28.06.2019

Huijun Fan

Fukaya category of Landau–Ginzburg model

I will report the construction of the mathematical foundation of the Floer theory (i. e., open-string A-side) of Landau–Ginzburg (LG) model via Witten equation. We introduce the concept of Regular tame exact Landau–Ginzburg system on a non-compact Kaehler manifold, and define the notion of LG brane, as the object of the category. The study on Witten equation in our context gives the Fukaya category of LG model. This is the joint work with Wenfeng Jiang and Dingyu Yang.

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of Bialystok
University of Bialystok

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