Schrödinger equations, deformation theory and $t{t}^{\ast }$-geometry

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}.

Deformation theory, Landau-Ginzburg B model, 114 pages

References in corpus (2)

• FJRW rings and Landau-Ginzburg Mirror Symmetry
• tt*-geometry in quantum cohomology