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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 332-346 |
| Number of pages | 15 |
| Journal | Pacific Journal of Mathematics |
| Volume | 308 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2020 |
Keywords
- Grassmannian
- Hamiltonian group action
- complexity one
- geometric quotient
- momentum map
- symplectic quotient
- toric topology
- torus action
ASJC Scopus subject areas
- Mathematics(all)