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) |
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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)