The Alekseev-Meinrenken diffeomorphism arising from the Stokes phenomenon
Abstract
The Alekseev-Meinrenken diffeomorphism is a distinguished diffeomorphism from the space of n× n Hermitian matrices to the space of n× 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 Poncar\'e rank 1.
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