13 papers
On totally symplectically aspherical manifolds
Luca F. Di Cerbo, Alexander Dranishnikov, Ekansh Jauhari
We construct examples of totally symplectically aspherical Kaehler manifolds with non-trivial second homotopy group in every even dimension greater than or equal to six. In dimensi…
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…
Homotopic distances and group-like spaces
Ekansh Jauhari, John Oprea
Homotopic distance is a numerical homotopy invariant that quantifies the homotopic distinction between two or more continuous maps. In this paper, we look at various versions of ho…
On the complexity of parametrized motion planning algorithms
Navnath Daundkar, Ekansh Jauhari
We study a probabilistic variant of the r-th sequential parametrized topological complexity, which bounds this classical invariant from below and measures the difficulty in constru…
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…
Homotopy connectivity of Äech complexes of spheres
Henry Adams, Ekansh Jauhari, Sucharita Mallick
Let be the -sphere with the geodesic metric and of diameter . The intrinsic Äech complex of at scale is the nerve of all open balls of radius in .…