The central sphere of an ALE space
Differential Geometry
2020-08-14 v1 Algebraic Geometry
Abstract
This paper focuses on the spherical fixed point set of a circle action on an ALE space endowed with Kronheimer's hyperkaehler metric. The induced metric on the sphere is described by using the algebraic geometry of rational curves on algebraic surfaces, in particular the lines on a cubic.
Keywords
Cite
@article{arxiv.2008.05915,
title = {The central sphere of an ALE space},
author = {Nigel Hitchin},
journal= {arXiv preprint arXiv:2008.05915},
year = {2020}
}
Comments
Dedicated to the memory of Michael Atiyah