8 papers · 1 filter
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 .
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…
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…
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…
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…
Operads of moduli spaces of points in revisited
Vladimir Dotsenko, Eduardo Hoefel, Sergey Shadrin +1
We study the operad structure on the homology of moduli spaces of pointed rooted trees of -dimensional projective spaces, introduced by Chen, Gibney and Krashen a couple of deca…