Topology of complexity one quotients

We describe of the topology of the geometric quotients of $2 n$ -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.

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Keywords

momentum map, torus action, toric topology, Grassmannian, complexity one, Hamiltonian group action, symplectic quotient, geometric quotient

Mathematical Subject Classification

Primary: 53D20

Milestones

Received: 11 March 2019

Revised: 28 May 2020

Accepted: 29 May 2020

Published: 9 December 2020

Authors

Yael Karshon
Department of Mathematics University of Toronto Toronto, ON Canada

Susan Tolman
Department of Mathematics University of Illinois at Urbana-Champaign Urbana, IL United States

Vol. 308, No. 2, 2020

Yael Karshon and Susan Tolman

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification

Milestones

Authors