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Geometric intersection of curves on punctured disks

2012/06/22 by S. Öykü Yurttaş, Yurttaş, S. Öykü
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT

paper · pdf · doi:10.48550/arxiv.1206.5325

Accepted by Journal of the Mathematical Society of Japan

arxiv created 2012/06/22 · openalex publication_date 2012/06/22 · arxiv updated 2012/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a recipe to compute the geometric intersection number of an integral lamination with a particular type of integral lamination on an n-times punctured disk. This provides a way to find the geometric intersection number of two arbitrary integral laminations when combined with an algorithm of Dynnikov and Wiest.

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