A recursion for the volume of the moduli space of hyperbolic spheres
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910236469624832 |
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| author | Ancona, Michele Gayet, Damien |
| author_facet | Ancona, Michele Gayet, Damien |
| contents | We prove the existence of a non-linear recursive relation for the volume of the moduli space of hyperbolic spheres with conical points or geodesic boundaries. This relation generalizes a result by Zograf, where the same was derived for cusps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19788 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A recursion for the volume of the moduli space of hyperbolic spheres Ancona, Michele Gayet, Damien Algebraic Geometry Geometric Topology Symplectic Geometry We prove the existence of a non-linear recursive relation for the volume of the moduli space of hyperbolic spheres with conical points or geodesic boundaries. This relation generalizes a result by Zograf, where the same was derived for cusps. |
| title | A recursion for the volume of the moduli space of hyperbolic spheres |
| topic | Algebraic Geometry Geometric Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2605.19788 |