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Orbit spaces of linear circle actions

2017/04/30 by Suzanne Craig, Naiche Downey, Lucas Goad +3
Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #Aerospace engineering #Bifurcation #Diffeomorphism #Differential (mechanical device) #Engineering #Geometric and Algebraic Topology #Geometry #Heteroclinic orbit #Homoclinic orbit #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Nonlinear system #Orbit (dynamics) #Periodic orbits #Physics #Pure mathematics #math.DG

paper · pdf · doi:10.2140/involve.2019.12.941

published as Involve 12 (2019) 941-959 · 17 pages. This paper is the result of a Summer 2016 REU (undergraduate research) project at the University of Colorado Boulder. [V2 update: the earlier version contained material not dealt with during the REU, which will be published separately.] To appear in Involve

arxiv created 2019/04/01 · openalex publication_date 2019/08/03 · arxiv updated 2019/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that nonisomorphic effective linear circle actions yield nondiffeomorphic differential structures on the corresponding orbit spaces.

Citations