Ekansh Jauhari

collaborators

4 papers

math.AT2026

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 $k$ , $n$ , and $g$ with $k \geq 2$ , we give a closed-form expression for the $k$ -th $Z_{2}$ -zero-divisor cup length $zcl_{k} (S P^{n} (N_{g}))$ of the $n$ …

math.AT2025

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…

math.AT2025

LS-category and sequential topological complexity of symmetric products

Ekansh Jauhari

The $n$ -th symmetric product of a topological space $X$ is the orbit space of the natural action of the symmetric group $S_{n}$ on the product space $X^{n}$ . In this paper, we compute…

math.AT2025

Homotopy connectivity of Čech complexes of spheres

Henry Adams, Ekansh Jauhari, Sucharita Mallick

Let $S^{n}$ be the $n$ -sphere with the geodesic metric and of diameter $π$ . The intrinsic Čech complex of $S^{n}$ at scale $r$ is the nerve of all open balls of radius $r$ in $S^{n}$ . In…