5 papers
Kähler complexity one Hamiltonian -manifolds have trivial paintings
Isabelle Charton, Liat Kessler, Susan Tolman
Let a torus act on a symplectic manifold with moment map . We say that the Hamiltonian -manifold has complexity one if $\frac{1}{2} \dim M - \dim T…
On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions
Liat Kessler, Nikolas Wardenski
We consider semi-free Hamiltonian -manifolds of dimension six and establish when the equivariant cohomology and data on the fixed point set determine the isomorphism type. Gon…
Equivariant cohomology of a complexity-one four-manifold is determined by combinatorial data
Tara Holm, Liat Kessler
For Hamiltonian circle actions on compact, connected, four-dimensional manifolds, we give a generators and relations description for the even part of the equivariant cohomology, as…
On isomorphisms of semi-free Hamiltonian -manifolds and fixed point data
Liat Kessler, Nikolas Wardenski
Following Gonzales, we answer the question of whether the isomorphism type of a semi-free Hamiltonian -manifold of dimension six is determined by certain data on the critical…
Equivariant cohomological rigidity for four-dimensional Hamiltonian -manifolds
Tara S. Holm, Liat Kessler, Susan Tolman
For manifolds equipped with group actions, we have the following natural question: To what extent does the equivariant cohomology determine the equivariant diffeotype? We resolve t…