Schrödinger equations, deformation theory and tt*-geometry

Original · EN

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 Ce1,Ce2,CV.