Graded Bridgeman dilogarithm identities on hyperbolic surfaces
Geometric Topology
2026-01-08 v1 Differential Geometry
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.
Cite
@article{arxiv.2601.03876,
title = {Graded Bridgeman dilogarithm identities on hyperbolic surfaces},
author = {Ara Basmajian and Nhat Minh Doan and Hugo Parlier and Ser Peow Tan},
journal= {arXiv preprint arXiv:2601.03876},
year = {2026}
}
Comments
38 pages, 10 figures, 1 table. Comments are welcome!