Polynomials Maps and Even Dimensional Spheres

2004/10/26 by Javier Turiel, Turiel, Javier
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Mathematics and Applications #math.AT

paper · pdf · doi:10.48550/arxiv.math/0410552

arxiv created 2004/10/26 · openalex publication_date 2004/10/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct, for every even dimensional sphere Sⁿ, n >1, and every odd integer k, a homogeneous polynomial map f: Sⁿ→ Sⁿ of Brouwer degree k and algebraic degree 2|k|-1.

Related

• Infinite families of harmonic self-maps of spheres
• Arithmetic of Unicritical Polynomial Maps
• Immersions of spheres and algebraically constructible functions
• Biharmonic homogeneous polynomial maps between spheres
• Whitney theorem for complex polynomial mappings