3 citations · 6 across the 17 of their papers we have counts for
6 papers · 1 filter
Cellular approximations for nonsymmetric homotopy operads
Eduardo Hoefel, Grigory Solomadin
In this note, for every topological colored nonsymmetric operad with CW spaces in each arity we construct a homotopy isomorphism with a CW homotopy operad (i.e. all higher homotopi…
Brieskorn spheres bound orbit spaces of torus manifolds
Grigory Solomadin
We construct a smooth, equivariantly formal, simply connected torus -manifold over a contractible -manifold with the boundary a Brieskorn homology -sphere having a nontriv…
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 .
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 equi…
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…