The Alekseev-Meinrenken diffeomorphism arising from the Stokes phenomenon
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929227915329536 |
|---|---|
| author | Xu, Xiaomeng |
| author_facet | Xu, Xiaomeng |
| contents | 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 $1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12792 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Alekseev-Meinrenken diffeomorphism arising from the Stokes phenomenon Xu, Xiaomeng Differential Geometry Classical Analysis and ODEs 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 $1$. |
| title | The Alekseev-Meinrenken diffeomorphism arising from the Stokes phenomenon |
| topic | Differential Geometry Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2401.12792 |