Graded Bridgeman dilogarithm identities on hyperbolic surfaces

Fuente: arXiv
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Autori principali: Basmajian, Ara, Doan, Nhat Minh, Parlier, Hugo, Tan, Ser Peow
Natura: Preprint
Pubblicazione: 2026
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author Basmajian, Ara
Doan, Nhat Minh
Parlier, Hugo
Tan, Ser Peow
author_facet Basmajian, Ara
Doan, Nhat Minh
Parlier, Hugo
Tan, Ser Peow
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_03876
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Graded Bridgeman dilogarithm identities on hyperbolic surfaces
Basmajian, Ara
Doan, Nhat Minh
Parlier, Hugo
Tan, Ser Peow
Geometric Topology
Differential Geometry
32G15, 37D40, 57K20, 11G55, 30F60, 37E35, 53C22
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.
title Graded Bridgeman dilogarithm identities on hyperbolic surfaces
topic Geometric Topology
Differential Geometry
32G15, 37D40, 57K20, 11G55, 30F60, 37E35, 53C22
url https://arxiv.org/abs/2601.03876