The Alekseev-Meinrenken diffeomorphism arising from the Stokes phenomenon

Abstract

The Alekseev-Meinrenken diffeomorphism is a distinguished diffeomorphism from the space of $n\times n$ Hermitian matrices to the space of $n\times n$ positive definite Hermitian matrices. This paper derives the explicit expression of the diffeomorphism, via the Stokes phenomenon of meromorphic linear systems of ordinary differential equations with Poncaré rank $1$.

18 pages. arXiv admin note: substantial text overlap with arXiv:1912.07196