---
title: Isomonodromic Deformation Theory
url: https://www.emergentmind.com/topics/isomonodromic-deformation-theory
type: topic
---

# Isomonodromic Deformation Theory

Isomonodromic deformation theory is the study of parametrized families of meromorphic differential systems (or flat connections) for which the generalized monodromy data—encompassing conventional monodromy matrices at regular singularities and Stokes matrices, connection matrices, and formal monodromies at irregular singularities—are preserved under deformation. The field provides a conceptual bridge between

Source: https://www.emergentmind.com/topics/isomonodromic-deformation-theory