Circle actions with two fixed points
Algebraic Topology
2016-10-11 v1 Geometric Topology
Abstract
We prove that if the circle group acts smooth and unitary on 2n-dimensional stably complex manifold with two isolated fixed points and it is not bound equivariantly, then n=1 or 3. Our proof relies on the rigid Hirzebruch genera.
Keywords
Cite
@article{arxiv.1512.03528,
title = {Circle actions with two fixed points},
author = {Oleg R. Musin},
journal= {arXiv preprint arXiv:1512.03528},
year = {2016}
}