Landau-Ginzburg模型的形變參數空間所聯繫的Frobenius流形

Abstract

首先，我們證明Landau-Ginzburg模型。接著，在數個假設之下，我們證明在Landau-Ginzburg模型的泛形變參數空間上能連繫出一個沒有度量與Euler場的Frobinus流形。對於那些支撐集是平滑Fano多胞形的非退化Laurent多項式，我們證明這些假設為真。

We first prove the Local Torelli Theorem for Landau-Ginzburg models. Next, under several conditions, we prove that there is a Frobenius manifold without metric and Euler field, associated to the universal parameter space of Landau-Ginzburg models. We prove these assumptions hold true for every nondegenerate Laurent polynomial whose support polytope is a smooth.