$t{t}^{\ast }$ Geometry, Singularity Torsion and Anomaly Formulas

Xinxing Tang

This paper is concerned with the Schrödinger operators ${\Delta }_{f_0}$ and ${\Delta }_f$ attached to a pair $({\mathbb{C}}^n,f_0)$ and its deformation $({\mathbb{C}}^n,f)$, where $f_0$ is a non-de…