Fukaya category of Landau-Ginzburg model

Autor:	Fan, Huijun, Jiang, Wenfeng, Yang, Dingyu
Rok vydání:	2018
Předmět:	Mathematics - Symplectic Geometry 53D37 14J33
Druh dokumentu:	Working Paper
Popis:	This article introduces and provides the mathematical foundation of the open string Floer theory of Landau-Ginzburg model viaWitten equation. We introduce the concept of regular tame exact Landau-Ginzburg system on a noncompact Kaehler manifold, and define the notion of Landau-Ginzburg branes, as the objects of the Fukaya category. The study on Witten equation in our context provides the construction of the Fukaya category of Landau-Ginzburg model which was conjectured to be existed in Gaiotto-Moore-Witten's work [22] and Kapranov-Kontsevich-Soibelman's work [30]. This is the first paper in the series of studies on Landau-Ginzburg models in the contexts of the mirror symmetry and other topics. Comment: 73 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.11748 Zobrazit plný text záznamu View this record from Arxiv