Geometric intersections of loops on surfaces

2019/09/08 by Ying Gu, Xuezhi Zhao, Gu, Ying +1
Mathematics · Computer Science · Engineering · #Mathematics and Applications #Computational Geometry and Mesh Generation #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.48550/arxiv.1909.03468

Abstract

Based on Nielsen fixed point theory and Gröbner-Shirshov basis, we obtain a simple method to compute geometric intersection numbers and self-intersection geometric numbers of loops on surfaces.

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