Year: 2026
Type: preprint
Abstract: We construct closed symplectic 4-manifolds admitting the structure of hyperbolic $π$-orbifold, addressing LeBrun's conjecture. Our simplest example has Euler characteristic $304$, is tessellated by $64$ copies of the right-angled hyperbolic $120$-cell and admits a four-fold branched covering over a product of two surfaces of genus $4$.
Source: arXiv (Cornell University)
Authors: Lin, Francesco, Martelli, Bruno
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221834135