G. Solomadin

activity

20162026

most citedHow is a graph not like a manifold?

3 citations · 6 across the 17 of their papers we have counts for

collaborators

Showing 2026 · math.ATShow all

4 papers · 2 filters

math.AT2026

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…

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 $H P^{n}$ and $C P^{2}$ .

math.AT2026

On formality of diagrams of Eilenberg-MacLane spaces

Grigory Solomadin, Antoine Touzé

In this paper, we establish formality (over $Q$ ) for diagrams of Eilenberg-MacLane spaces of any height $n \geq 1$ . This implies spectral sequence (over $Q$ ) colla…

math.AT2026

Equivariant cohomology epimorphisms and face ring quotients for Hamiltonian and complexity one GKM $_{4}$ manifolds

Oliver Goertsches, Grigory Solomadin

Given a GKM $_{3}$ action of a torus $K$ on a manifold $M$ with GKM graph $Γ$ , we show that for any extension of $Γ$ to an abstract GKM graph the corresponding restriction map in equi…

Cellular approximations for nonsymmetric homotopy operads

Almost quaternionic structures on compact rank one symmetric spaces

On formality of diagrams of Eilenberg-MacLane spaces

Equivariant cohomology epimorphisms and face ring quotients for Hamiltonian and complexity one GKM4​ manifolds

Equivariant cohomology epimorphisms and face ring quotients for Hamiltonian and complexity one GKM $_{4}$ manifolds