2 citations · 2 across the 5 of their papers we have counts for
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 …
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…
Compact monotone tall complexity one -spaces
Isabelle Charton, Silvia Sabatini, Daniele Sepe
In this paper we study compact monotone tall complexity one -spaces. We use the classification of Karshon and Tolman, and the monotone condition, to prove that any two such spac…
Toric one-skeletons for complexity-one spaces
Isabelle Charton
A complexity-one space is a compact symplectic manifold endowed with an effective Hamiltonian action of a torus of dimension . In this note we pr…
Hamiltonian S^1-spaces with large equivariant pseudo-index
Isabelle Charton
Let \((M,ω)\) be a compact symplectic manifold of dimension \(2n\) endowed with a Hamiltonian circle action with only isolated fixed points. Whenever \(M\) admits a toric \(1\)-ske…