4 papers · 1 filter
Symplectically aspherical Kähler manifolds, scalar curvature, and the fundamental group
Luca F. Di Cerbo, Alexander Dranishnikov, Ekansh Jauhari
We present a detailed study of closed smooth manifolds having Kähler forms that pullback to exact forms on the universal cover. We show that these manifolds, which we call symplect…
On distributional topological complexity of groups and manifolds
Alexander Dranishnikov
We prove the equality $\dTC(Î)=\TC(Î)$ for distributional topological complexity of torsion free hyperbolic and of torsion free nilpotent groups. For the distributional topologic…
Curvature, macroscopic dimensions, and symmetric products of surfaces
Luca F. Di Cerbo, Alexander Dranishnikov, Ekansh Jauhari
We present a detailed study of the curvature and symplectic asphericity properties of symmetric products of surfaces. We show that these spaces can be used to answer nuanced questi…
Distributional Topological Complexity of groups
Alexander Dranishnikov
We study numerical invariants $d\TC(Î)$ and $d\cat(Î)$ of groups recently introduced in \cite{DJ} and independently in \cite{KW}. We compute $d\TC$ for finite cyclic groups $\mat…