On the generic existence of WKB spectral networks/Stokes graphs

TL;DR

This paper proves that spectral networks, which are important tools in mathematical physics, generically exist for a broad class of spectral data, enhancing understanding of their structure and applications.

Contribution

It establishes the generic existence of spectral networks for a wide range of spectral data, a significant theoretical advancement.

Findings

Spectral networks exist generically for many spectral data types.

The proof covers a large class of spectral data.

This work broadens the applicability of spectral networks in mathematical physics.

Abstract

We prove the generic existence of spectral networks for a large class of spectral data.