1 citations · 2 across the 4 of their papers we have counts for
4 papers
Toric symplectic singular spaces I: isolated singularities
D. Burns, V. Guillemin, E. Lerman
We generalize a theorem of Delzant classifying compact connected symplectic manifolds with completely integrable torus actions to certain singular symplectic spaces. The assumption…
Kaehler metrics on singular toric varieties
D. Burns, V. Guillemin, E. Lerman
We extend Guillemin's formula for Kaehler potentials on toric manifolds to singular quotients of C^N and CP^N.
Potential functions and actions of tori on Kaehler manifolds
D. Burns, V. Guillemin
Let M be a Kaehler manifold with a free, holomorphic and Hamiltonian action of the standard n-torus T. We give a simple, explicit and canonical formula for the Kaehler potential on…
Kaehler cuts
D. Burns, V. Guillemin, E. Lerman
A symplectic cut of a manifold M with a Hamiltonian circle action is a symplectic quotient of M x C. If M is Kaehler then, since C is Kaehler, the cut space is Kaehler as well. The…