Self-Intersection Numbers of Length-Equivalent Curves on Surfaces

DOI10.1080/10586458.2014.897925zbMath1326.57035arXiv1311.0503OpenAlexW2039273311MaRDI QIDQ5249303

Moira Chas

Publication date: 30 April 2015

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0503

zbMATH Keywords

curvessurfacesintersection numberhyperbolic metricslength-equivalence

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05)

Related Items (1)

The shortest non-simple closed geodesics on hyperbolic surfaces

Cites Work

• Intersections of curves on surfaces
• Equivalent curves in surfaces
• Intersection-number operators and Chebyshev polynomials. IV: Non-planar cases
• AN ALGEBRAIC CHARACTERIZATION OF SIMPLE CLOSED CURVES ON SURFACES WITH BOUNDARY
• Characters of free groups represented in the two‐dimensional special linear group
• Experiments Suggesting That the Distribution of the Hyperbolic Length of Closed Geodesics Sampling by Word Length Is Gaussian
• Geometry and spectra of compact Riemann surfaces

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