An explicit formula for a branched covering from \mathbbCP² to S⁴

2017/05/14 by Jonathan A. Hillman, Hillman, J. A.
Mathematics · #57M12 #57N13 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1705.05038

openalex publication_date 2017/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an explicit formula for a 2-fold branched covering from \mathbbCP² to S⁴, and relate it to other maps between quotients of S²×S².

Related

• Existence of Branched covers S²→ S² with prescribed branching data
• C*-algebras associated with branched coverings
• Super Covering Maps
• Branch values in Ahlfors' theory of covering surfaces
• Branched Covers of Open Manifolds