collaborators

9 papers

math.AT2026

Almost quaternionic structures on compact rank one symmetric spaces

Oliver Goertsches, Panagiotis Konstantis, Eugenia Loiudice +1

We prove that the only CROSSes that admit a (not necessarily homogeneous) almost quaternionic structure are and .

math.AT2026

Rational cohomology of toric diagrams

Grigory Solomadin

In this note, (rational) Betti numbers of homotopy colimits for toric diagrams and their classifying spaces are described in terms of sheaf cohomology over CW posets. We prove for…

math.AT2026

On formality of diagrams of Eilenberg-MacLane spaces

Grigory Solomadin, Antoine Touzé

In this paper, we establish formality (over ) for diagrams of Eilenberg-MacLane spaces of any height . This implies spectral sequence (over ) colla…

math.AT2026

Equivariant cohomology epimorphisms and face ring quotients for Hamiltonian and complexity one GKM manifolds

Oliver Goertsches, Grigory Solomadin

Given a GKM action of a torus on a manifold with GKM graph , we show that for any extension of to an abstract GKM graph the corresponding restriction map in eq…

math.AT2026

Extensions of realizable Hamiltonian and complexity one GKM graphs

Oliver Goertsches, Grigory Solomadin

We prove that the GKM graphs of GKM manifolds that are either Hamiltonian or of complexity one extend to torus graphs. The arguments are based on a reformulation of the extensi…

math.GT2026

Independence of homogeneous GKM manifolds and symmetric spaces

Shintaro Kuroki, Grigory Solomadin

Let be a simply connected homogeneous space of maximal rank. Then the maximal torus -action on is a GKM manifold. We call the -action -independent if any $i(\l…