A recursion for the volume of the moduli space of hyperbolic spheres

Michele Ancona; Damien Gayet

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arXiv · 2605.19788

A recursion for the volume of the moduli space of hyperbolic spheres

Michele Ancona·Damien Gayet

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Abstract

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.

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Michele Ancona, Damien Gayet. 2026-05-19. A recursion for the volume of the moduli space of hyperbolic spheres. https://arxiv.org/abs/2605.19788

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