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math.GT2026
Symplectic four-manifolds and hyperbolic -orbifolds
Francesco Lin, Bruno Martelli
We construct closed symplectic 4-manifolds admitting the structure of hyperbolic -orbifold, addressing LeBrun's conjecture. Our simplest example has Euler characteristic ,…
math.GT2026
Coexact -form spectral gaps of hyperbolic rational homology spheres
Francesco Lin, Michael Lipnowski
We discuss a construction of families of hyperbolic rational homology spheres with coexact -form spectral gap uniformly bounded below which is well-suited for explicit computati…