Susan Tolman

collaborators

4 papers

math.SG2026

Connectedness of fibers beyond semitoric systems II: ephemeral singular points

Daniele Sepe, Susan Tolman

In an earlier paper, we proved the connectedness of the fibers of every $2 n$ -dimensional integrable system satisfying both: the action extends the action of an $(n - 1)$ -dimensional…

math.SG2026

KÃ¤hler complexity one Hamiltonian $T$ -manifolds have trivial paintings

Isabelle Charton, Liat Kessler, Susan Tolman

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

math.SG2026

Connectedness of fibers beyond semitoric systems I: the non-degenerate case

Daniele Sepe, Susan Tolman

In this paper we study the connectedness of the fibers of integrable systems that extend complexity one $T$ -spaces with proper moment maps, assuming that every tall singular point…

math.SG2024

Equivariant cohomological rigidity for four-dimensional Hamiltonian $S^{1}$ -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…

Connectedness of fibers beyond semitoric systems II: ephemeral singular points

KÃ¤hler complexity one Hamiltonian T-manifolds have trivial paintings

Connectedness of fibers beyond semitoric systems I: the non-degenerate case

Equivariant cohomological rigidity for four-dimensional Hamiltonian S1-manifolds

KÃ¤hler complexity one Hamiltonian $T$ -manifolds have trivial paintings

Equivariant cohomological rigidity for four-dimensional Hamiltonian $S^{1}$ -manifolds