Graded Bridgeman dilogarithm identities on hyperbolic surfaces

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Ara Basmajian, Nhat Minh Doan, Hugo Parlier, Ser Peow Tan
DOI: 10.48550/arxiv.2601.03876
Cited by: 0

Abstract

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 study of orthogeodesics.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Geometric and Algebraic Topology Analytic Number Theory Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
7 January 2026
Document type
Preprint