A short proof of a theorem of Cotti, Dubrovin and Guzzetti

TL;DR

This paper provides a concise proof of a theorem concerning the vanishing of specific entries in Stokes matrices during coalescing points in isomonodromic deformations, simplifying previous complex proofs.

Contribution

It offers a shorter, more accessible proof of a theorem by Cotti, Dubrovin, and Guzzetti related to Stokes matrices in isomonodromic deformations.

Findings

Confirmed vanishing of certain Stokes matrix entries at coalescing points.

Simplified the proof of a key theorem in isomonodromic deformation theory.

Enhanced understanding of monodromy data behavior during coalescence.

Abstract

We give a short proof of a theorem of G. Cotti, B. Dubrovin and D. Guzzetti (arXiv:1706.04808 and arXiv:2101.03397) asserting the vanishing of some entries of the Stokes matrices at coalescing points of an isomonodromic deformation.