Curves on the torus intersecting at most k times

DOI10.1017/S0305004122000421MaRDI QIDQ5889255

Tarik Aougab, Jonah Gaster

Publication date: 19 April 2023

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08172

Mathematics Subject Classification ID

Geometric group theory (20F65) Relations of low-dimensional topology with graph theory (57M15) Extremal combinatorics (05D99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arithmetical functions associated with the unitary divisors of an integer
• Geometry of Farey-Ford polygons
• The geometry of Markoff numbers
• Bounds on exceptional Dehn filling
• The hyperbolic geometry of Markov's theorem on Diophantine approximation and quadratic forms
• Systems of curves on surfaces
• On loops intersecting at most once
• Combinatorics of \(k\)-Farey graphs
• Arcs intersecting at most once
• The diameter of associahedra
• The Difference Between Consecutive Primes, II
• Local geometry of the 𝑘-curve graph
• The Modular Surface and Continued Fractions
• Rotation Distance, Triangulations, and Hyperbolic Geometry
• Harald Cramér and the distribution of prime numbers
• Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸
• Fractions
• Packing Curves on Surfaces with Few Intersections