Orbit Spaces of Linear Circle Actions
Differential Geometry
2019-08-14 v2
Abstract
In this paper, it is shown that non-isomorphic effective linear circle actions yield non-diffeomorphic differential structures on the corresponding orbit spaces.
Cite
@article{arxiv.1704.04519,
title = {Orbit Spaces of Linear Circle Actions},
author = {Suzanne Craig and Naiche Downey and Lucas Goad and Michael J. Mahoney and Jordan Watts},
journal= {arXiv preprint arXiv:1704.04519},
year = {2019}
}
Comments
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