Twistor structures, tt*-geometry and singularity theory

TL;DR

This paper reviews the application of tt*-geometry to isolated hypersurface singularities and tame functions, focusing on Brieskorn lattices, nilpotent orbits, and period maps.

Contribution

It provides an overview connecting tt*-geometry with singularity theory through the study of Brieskorn lattices and related geometric structures.

Findings

Analysis of nilpotent orbits in tt*-geometry

Classification of Brieskorn lattices and their classifying spaces

Insights into limits of period maps in singularity contexts

Abstract

We give an overview on the tt*-geometry defined for isolated hypersurface singularities and tame functions via Brieskorn lattices. We discuss nilpotent orbits in this context, as well as classifying spaces of Brieskorn lattices and (limits of) period maps.