Work

Schrödinger equations, deformation theory and $tt^*$-geometry

Year: 2011
Type: preprint
Abstract: This is the first of a series of papers to construct the deformation theory of the form Schrödinger equation, which is related to a section-bundle system $(M,g,f)$, where $(M,g)$ is a noncompact complete Kähler manifold with bounded geometry and $f$ is a holomorphic function defined on $M$. This work is also the first step attempting to understand the whole Landau-Ginzburg B-model including the higher genus invariants. Our work is mainly based on the pioneer work of Cecotti, Cecotti and Vafa \cite{Ce1,Ce2,CV}.
Author: Fan, Huijun
Language: English
Open Access status: green
OpenAlex ID: W2271780802
Cites: 41
Cited by: 10
Related to: 10