Monodromy dependence and connection formulae for isomonodromic tau functions

Understand

We discuss an extension of the Jimbo-Miwa-Ueno differential 1-form to a form closed on the full space of extended monodromy data of systems of linear ordinary differential equations with rational coefficients.

• This extension is based on the results of M.
• Bertola generalizing a previous construction by B.
• Malgrange.