Minimal number of self-intersections of the boundary of an immersed surface in the plane

2009/03/18 by Larry Guth, Guth, Larry
Computer Science · Materials Science · Mathematics · #53C23 #Computational Geometry and Mesh Generation #Differential Geometry (math.DG) #FOS: Mathematics #Pickering emulsions and particle stabilization #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.0903.3112

openalex publication_date 2009/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find the minimal number of self-intersections of the boundary of a surface of genus g generically immersed in the plane.

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