#### Vol. 308, No. 2, 2020

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Topology of complexity one quotients

### Yael Karshon and Susan Tolman

Vol. 308 (2020), No. 2, 333–346
##### Abstract

We describe of the topology of the geometric quotients of $2n$-dimensional compact connected symplectic manifolds with $\left(n-1\right)$-dimensional torus actions. When the isotropy weights at each fixed point are in general position, the quotient is homeomorphic to a sphere.

##### Keywords
momentum map, torus action, toric topology, Grassmannian, complexity one, Hamiltonian group action, symplectic quotient, geometric quotient
Primary: 53D20