34 citations · 76 across the 19 of their papers we have counts for
4 papers · 1 filter
Simple Hamiltonian manifolds
Jean-Claude Hausmann, Tara S. Holm
A simple Hamiltonian manifold is a closed connected symplectic manifold equipped with a Hamiltonian action of a torus T with moment map Phi: M-->t^*, such that the fixed set M^T ha…
Maximal Hamiltonian tori for polygon spaces
Jean-Claude Hausmann, Susan Tolman
We study the poset of Hamiltonian tori for polygon spaces. We determine some maximal elements and give examples where maximal Hamiltonian tori are not all of the same dimension.
A limit of toric symplectic forms that has no periodic Hamiltonians
Jean-Claude Hausmann, Allen Knutson
We calculate the Riemann-Roch number of some of the pentagon spaces defined in [Klyachko,Kapovich-Millson,HK1]. Using this, we show that while the regular pentagon space is diffeom…
The cohomology ring of symplectic cuts
Jean-Claude Hausmann, Allen Knutson
The ``symplectic cut'' construction [Lerman] produces two symplectic orbifolds and from a symplectic manifold with a Hamiltonian circle action. We compute the ratio…