Geometric structures on meromorphic 1-forms over the Riemann sphere |
| Julio César Magaña Cáceres |
| Universidad Anáhuac Mayab |
| Abstract |
| The Teichmüller theory over a Riemann surfaces of genus \(g\geq 1\) is very know it. In the case \(g=0\), it is possible to use the space of meromorphic 1-forms and the action of the group \({\rm PSL}(2, \mathbb{C})\) to obtian similar results. In this talk, we define different geometric structures over the space of meromorphic 1-forms on the Riemann sphere \(\mathbb{P}^1\), fixing the number of poles, to understand the space, the action of \({\rm PSL}(2, \mathbb{C})\) and its quotient. |
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Second Workshop onSurfaces in the Frontier21-22-23 February/2024 |
