I. Charton

activity

20192026

collaborators

3 papers

math.SG2026

Kähler complexity one Hamiltonian $T$ -manifolds have trivial paintings

Isabelle Charton, Liat Kessler, Susan Tolman

Let a torus $T$ act on a symplectic manifold $(M, ω)$ with moment map $ϕ$ . We say that the Hamiltonian $T$ -manifold $(M, ω, ϕ)$ has complexity one if $\frac{1}{2} dim M - dim T = 1$ …

math.AT2020

Toric one-skeletons for complexity-one spaces

Isabelle Charton

A complexity-one space is a compact symplectic manifold $(M, ω)$ endowed with an effective Hamiltonian action of a torus $T$ of dimension $\frac{1}{2} dim (M) - 1$ . In this note we pr…

math.AT2019

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…

Kähler complexity one Hamiltonian T-manifolds have trivial paintings

Toric one-skeletons for complexity-one spaces

Hamiltonian S^1-spaces with large equivariant pseudo-index

Kähler complexity one Hamiltonian $T$ -manifolds have trivial paintings