Volume of unit balls associated to quadratic differentials
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918169517490176 |
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| author | Su, Weixu Zhang, Shenxing |
| author_facet | Su, Weixu Zhang, Shenxing |
| contents | Associated to a holomorphic quadratic differential is a unit ball of the measured lamination space. The Thurston volume of the unit ball defines a function on the moduli space. We show that the volume function is not proper and characterize when it tends to infinity. We prove that the volume function is $p$-integrable for any $0<p<1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21365 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Volume of unit balls associated to quadratic differentials Su, Weixu Zhang, Shenxing Complex Variables Geometric Topology 30F30, 30F60 Associated to a holomorphic quadratic differential is a unit ball of the measured lamination space. The Thurston volume of the unit ball defines a function on the moduli space. We show that the volume function is not proper and characterize when it tends to infinity. We prove that the volume function is $p$-integrable for any $0<p<1$. |
| title | Volume of unit balls associated to quadratic differentials |
| topic | Complex Variables Geometric Topology 30F30, 30F60 |
| url | https://arxiv.org/abs/2510.21365 |