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arXiv · 2401.12792

The Alekseev-Meinrenken diffeomorphism arising from the Stokes phenomenon

Xiaomeng Xu
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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 Poncar\'{e} rank $1$.

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Xiaomeng Xu. 2024-01-23. The Alekseev-Meinrenken diffeomorphism arising from the Stokes phenomenon. https://arxiv.org/abs/2401.12792

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