activity
20052026
most citedCircle and torus actions on equal symplectic blow-ups of CP^2

12 citations · 25 across the 16 of their papers we have counts for

collaborators

19 papers

math.SG2026

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 …

math.SG2025

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…

math.SG2025

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…

math.SG2024

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…

math.SG2023

Monotone Symplectic Six-Manifolds that admit a Hamiltonian GKM Action are diffeomorphic to Smooth Fano Threefolds

Isabelle Charton, Liat Kessler

Let be a compact symplectic manifold with a Hamiltonian GKM action of a compact torus. We formulate a positive condition on the space; this condition is satisfied if the un…

math.SG2019

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…