Poisson structure on character varieties. II
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913997802962944 |
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| author | Biswas, Indranil Jeffrey, Lisa C. |
| author_facet | Biswas, Indranil Jeffrey, Lisa C. |
| contents | Let G be a complex reductive group and D a finite subset of a compact Riemann surface X. It was shown in [BJ] that the moduli space of G-characters of the complement of D in X has a natural Poisson structure. We show that the moduli space of logarithmic G-connections on X singular over D has a Poisson structure. It is proved that the monodromy map from the moduli space of logarithmic G-connections to the moduli space of G-characters is Poisson structure preserving. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13854 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Poisson structure on character varieties. II Biswas, Indranil Jeffrey, Lisa C. Symplectic Geometry Algebraic Geometry 58F05 Let G be a complex reductive group and D a finite subset of a compact Riemann surface X. It was shown in [BJ] that the moduli space of G-characters of the complement of D in X has a natural Poisson structure. We show that the moduli space of logarithmic G-connections on X singular over D has a Poisson structure. It is proved that the monodromy map from the moduli space of logarithmic G-connections to the moduli space of G-characters is Poisson structure preserving. |
| title | Poisson structure on character varieties. II |
| topic | Symplectic Geometry Algebraic Geometry 58F05 |
| url | https://arxiv.org/abs/2508.13854 |