Multiplicity free U(2)-actions and triangles
Oliver Goertsches, Bart Van Steirteghem, Nikolas Wardenski
TL;DR
This paper classifies certain symplectic manifolds with U(2) symmetry, focusing on those with a triangular momentum polytope and trivial isotropy, expanding understanding of their geometric structure.
Contribution
It provides a complete classification of multiplicity free Hamiltonian U(2)-manifolds with triangular momentum polytopes and trivial principal isotropy groups.
Findings
Classification of all such manifolds with triangular momentum polytopes
Identification of geometric and symplectic properties of these manifolds
Extension of known results in Hamiltonian group actions
Abstract
We classify the compact, connected multiplicity free Hamiltonian U(2)-manifolds with trivial principal isotropy group whose momentum polytope is a triangle.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Geometry and complex manifolds