6 citations · 12 across the 13 of their papers we have counts for
15 papers
Motion planning invariants and families of subgroups
Ekansh Jauhari, Ben Knudsen
We introduce a notion of topological complexity of a group with respect to a family of subgroups, with the case of the trivial and diagonal families recovering the classical catego…
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 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 the sequential topological complexity and the LS-category of the cofiber of higher diagonals for symmetric products of non-orientable surfaces
Jesús González, Ekansh Jauhari
For positive integers , , and with , we give a closed-form expression for the -th -zero-divisor cup length of the …
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…
On distributional one-category, diagonal distributional complexity, and related invariants
Ekansh Jauhari, John Oprea
We develop the theory of probabilistic variants of the one-category and diagonal topological complexity, which bound the classical LS-category and topological complexity from below…
Bochner-type theorems for distributional category
Ekansh Jauhari, John Oprea
We show that in the presence of a geometric condition such as non-negative Ricci curvature, the distributional category of a manifold may be used to bound invariants, such as the f…
LS-category and sequential topological complexity of symmetric products
Ekansh Jauhari
The -th symmetric product of a topological space is the orbit space of the natural action of the symmetric group on the product space . In this paper, we compute…
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 Čech complexes of spheres
Henry Adams, Ekansh Jauhari, Sucharita Mallick
Let be the -sphere with the geodesic metric and of diameter . The intrinsic Čech complex of at scale is the nerve of all open balls of radius in . In…
Distributional category of manifolds
Ekansh Jauhari
Recently, a new homotopy invariant of metric spaces, called the distributional LS-category, was defined, which provides a lower bound to the classical LS-category. In this paper, w…
Intertwining category and complexity
Ekansh Jauhari
We develop the theory of the intertwining distributional versions of the LS-category and the sequential topological complexities of a space , denoted by and $…
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…
On sequential versions of distributional topological complexity
Ekansh Jauhari
We define a (non-decreasing) sequence of higher versions of distributional topological complexity () of a space introduced by Dra…