71 citations · 279 across the 29 of their papers we have counts for
8 papers · 1 filter
Non-Hamiltonian actions with isolated fixed points
Susan Tolman
We construct a non-Hamiltonian symplectic circle action on a closed, connected, six-dimensional symplectic manifold with exactly 32 fixed points.
Reduction of twisted generalized Kähler structure
Yi Lin, Susan Tolman
We show that our earlier work in \cite{LT05} extends to the twisted case, that is, we defined a notion of moment map and reduction in both twisted generalized complex geometry and…
Symmetries in generalized Kähler geometry
Yi Lin, Susan Tolman
We define the notion of a moment map and reduction in both generalized complex geometry and generalized Kähler geometry. As an application, we give very simple explicit constructio…
Surjectivity for Hamiltonian Loop Group Spacees
Raoul Bott, Susan Tolman, Jonathan Weitsman
Let be a compact Lie group, and let denote the corresponding loop group. Let be a weakly symplectic Banach manifold. Consider a Hamiltonian action of on $(X,ω…
On semifree symplectic circle actions with isolated fixed points
Susan Tolman, Jonathan Weitsman
Let be a symplectic manifold, equipped with a semifree symplectic circle action with a finite, nonempty fixed point set. We show that the circle action must be Hamiltonian, and…
On the cohomology rings of Hamiltonian T-spaces
Susan Tolman, Jonathan Weitsman
Let be a symplectic manifold equipped with a Hamiltonian action of a torus . Let denote the fixed point set of the -action and let denote the i…