Higher Order Invariants of Immersions of Surfaces into 3-Space

2002/07/10 by Tahl Nowik, Nowik, Tahl · 1 citation
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #math.GT

paper · pdf · doi:10.48550/arxiv.math/0207087

arxiv created 2002/07/10 · openalex publication_date 2002/07/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify all finite order invariants of immersions of a closed orientable surface into R³, with values in any Abelian group. We show that they are all functions of order one invariants.

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