Self-Intersection Numbers of Curves in the Doubly Punctured Plane

DOI10.1080/10586458.2011.610243zbMath1241.57002arXiv1001.4568OpenAlexW2042382673MaRDI QIDQ2883921

Moira Chas, Anthony V. Phillips

Publication date: 14 May 2012

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

Full work available at URL: https://arxiv.org/abs/1001.4568

zbMATH Keywords

self-intersectionpair of pantsthrice-punctured spherecombinatorial lengthdoubly punctured planefree homotopy classes of curves

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Riemann surfaces (30F99) (S^{n-1}subset E^n), Schoenflies problem (57N50)

Related Items (6)

Almost simple geodesics on the triply-punctured sphere ⋮ Short closed geodesics on cusped hyperbolic surfaces ⋮ Lie algebras of curves and loop-bundles on surfaces ⋮ Self-intersections in combinatorial topology: statistical structure ⋮ Self-intersection on Pair of Pants ⋮ Experiments Suggesting That the Distribution of the Hyperbolic Length of Closed Geodesics Sampling by Word Length Is Gaussian

Cites Work

• Intersections of curves on surfaces
• Growth of the number of simple closed geodesics on hyperbolic surfaces
• Self-Intersection Numbers of Curves on the Punctured Torus

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