Showing math.GTShow all
3 papers · 1 filter
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
Some arithmetic aspects of ortho-integral surfaces
Nhat Minh Doan, Khanh Le
We investigate ortho-integral (OI) hyperbolic surfaces with totally geodesic boundaries, defined by the property that every orthogeodesic (i.e. a geodesic arc meeting the boundary…
math.GT2020
Measuring pants
Nhat Minh Doan, Hugo Parlier, Ser Peow Tan
We investigate the terms arising in an identity for hyperbolic surfaces proved by Luo and Tan, namely showing that they vary monotonically in terms of lengths and that they verify…