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math.GT2026
Graded Bridgeman dilogarithm identities on hyperbolic surfaces
Ara Basmajian, Nhat Minh Doan, Hugo Parlier +1
We establish graded versions of Bridgeman's dilogarithm identity for hyperbolic cone surfaces, including surfaces with only cusps and cone points, and provide applications to the s…
math.GT2025
Equidistribution of partial coverings from closed geodesics
Asbjørn Christian Nordentoft, Ser Peow Tan
Given a finite volume hyperbolic surface, a fundamental polygon and an oriented closed geodesic, we associate a partial covering of the surface. We prove that given a sequence of c…