Sábháilte in:
| Príomhchruthaitheoirí: | , |
|---|---|
| Formáid: | Preprint |
| Foilsithe / Cruthaithe: |
2026
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| Ábhair: | |
| Rochtain ar líne: | https://arxiv.org/abs/2602.09751 |
| Clibeanna: |
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Clár na nÁbhar:
- Let $\Tei_{g,n}$ be the Teichmüller space of Riemann surfaces of genus $g$ with $n$ punctures. It is conjectured that the Teichmüller and Carathéodory metrics agree on a Teichmüller disk if and only if all the zeros of the corresponding holomorphic quadratic differential are of even order. The conjecture was proved by Gekhtman and Markovic for $\Tei_{0,5}\cong \Tei_{1,2}$. We confirm the conjecture for $\Tei_{2,0}\cong\Tei_{0,6}$.