On possible values of the signature of flat symplectic bundles over surfaces with boundary
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909255132512256 |
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| author | Kim, Inkang Pansu, Pierre Wan, Xueyuan |
| author_facet | Kim, Inkang Pansu, Pierre Wan, Xueyuan |
| contents | We show that every integer in the interval $[2pχ(Σ), -2pχ(Σ)]$ is achieved by the signature of a rank $2p$ flat symplectic bundle over a surface with boundary $Σ$. When $p=1$, one can prescribe the type (elliptic, parabolic, hyperbolic) of the holonomy along the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10515 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On possible values of the signature of flat symplectic bundles over surfaces with boundary Kim, Inkang Pansu, Pierre Wan, Xueyuan Group Theory We show that every integer in the interval $[2pχ(Σ), -2pχ(Σ)]$ is achieved by the signature of a rank $2p$ flat symplectic bundle over a surface with boundary $Σ$. When $p=1$, one can prescribe the type (elliptic, parabolic, hyperbolic) of the holonomy along the boundary. |
| title | On possible values of the signature of flat symplectic bundles over surfaces with boundary |
| topic | Group Theory |
| url | https://arxiv.org/abs/2407.10515 |