6 citations · 6 across the 6 of their papers we have counts for
6 papers
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 totally c-symplectically aspherical manifolds
Luca F. Di Cerbo, Alexander Dranishnikov, Ekansh Jauhari
We construct examples of totally c-symplectically aspherical near-symplectic manifolds with non-trivial second homotopy group.
On distributional topological complexity of groups and manifolds
Alexander Dranishnikov
We prove the equality $\dTC(Γ)=\TC(Γ)$ for distributional topological complexity of torsion free hyperbolic and of torsion free nilpotent groups. For the distributional topological…
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 $d\TC(Γ)$ and $d\cat(Γ)$ of groups recently introduced in \cite{DJ} and independently in \cite{KW}. We compute $d\TC$ for finite cyclic groups $\mathb…
Distributional Topological Complexity and LS-category
Alexander Dranishnikov, Ekansh Jauhari
We define a new version of Topological Complexity (TC) of a space, denoted as , which, we think, fits better for motion planning for some autonomous systems. Like Topol…