Topology of complexity one quotients

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.

12 pages, 1 table. v2: minor changes in response to referee report. To appear in Pacific J. Math

References in corpus (1)

• Connectivity and Convexity Properties of the Momentum Map for Group Actions on Hilbert Manifolds

Cited by in corpus (5)

• Orbit spaces of equivariantly formal torus actions of complexity one
• Torus actions of complexity one in non-general position
• Orbit spaces of torus actions on Hessenberg varieties
• Topology of misorientation spaces
• Toric topology of the Grassmannian of planes in ${\mathbb{C}}^5$ and the del Pezzo surface of degree $5$