Topology of complexity one quotients
Symplectic Geometry
2020-12-16 v2 Algebraic Topology
Abstract
We describe of the topology of the geometric quotients of 2n dimensional compact connected symplectic manifolds with n-1 dimensional torus actions. When the isotropy weights at each fixed point are in general position, the quotient is homeomorphic to a sphere.
Keywords
Cite
@article{arxiv.1810.01026,
title = {Topology of complexity one quotients},
author = {Yael Karshon and Susan Tolman},
journal= {arXiv preprint arXiv:1810.01026},
year = {2020}
}
Comments
12 pages, 1 table. v2: minor changes in response to referee report. To appear in Pacific J. Math