5 papers · 1 filter
McShane-Rivin norm balls and simple-length multiplicities
Nhat Minh Doan, Xiaobin Li, Van Nguyen
We use normal-turn estimates to study the global and local geometry of the boundaries of McShane--Rivin norm balls for complete finite-area hyperbolic once-punctured tori …
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…
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…
Self-intersections of arcs on a pair of pants
Nhat Minh Doan, Hanh Vo
We investigate arcs on a pair of pants and present an algorithm to compute the self-intersection number of an arc. Additionally, we establish bounds for the self-intersection numbe…
Ortho-integral surfaces
Nhat Minh Doan
This paper introduces a combinatorial structure of orthogeodesics on hyperbolic surfaces and presents several relations among them. As a primary application, we propose a recursive…