Topology of complexity one quotients
Yael Karshon, Susan Tolman
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.
Topics & Concepts
MathematicsQuotientTorusTopology (electrical circuits)General positionSymplectic geometryPure mathematicsIsotropyPoint (geometry)CombinatoricsGeometryPhysicsQuantum mechanicsGeometry and complex manifoldsGeometric and Algebraic TopologyAlgebraic Geometry and Number Theory