3 papers
math.SG2026
Geometry of the tt*-Toda equations I: universal centralizer and symplectic groupoids
Martin A. Guest, Nan-Kuo Ho
We investigate the geometry of a certain space of meromorphic connections with irregular singularities, and prove in particular that it is a (real) symplectic Lie groupoid. The con…
math-ph2025
Connection formulae for the radial Toda equations I
Martin A. Guest, Alexander R. Its, Maksim Kosmakov +2
This paper is the first in a forthcoming series of works where the authors study the global asymptotic behavior of the radial solutions of the 2D periodic Toda equation of type $A_…
math-ph2025
Connection formulae for the radial Toda equations II
Martin A. Guest, Alexander R. Its, Maksim Kosmakov +2
This is a continuation of [arXiv:2309.16550] in which we computed the asymptotics near of all solutions of the radial Toda equation. In this article, we compute the as…