R. Arora

activity

20192026

collaborators

6 papers

math.AG2026

Equivariant principal bundles over toric Deligne--Mumford stacks

Ramandeep Singh Arora, Chandranandan Gangopadhyay, Mainak Poddar

Let $X (Σ)$ be the toric Deligne--Mumford stack with stacky torus $T$ associated to the stacky fan $Σ = (N, Σ, β)$ . A toric principal $H$ -bu…

math.AT2026

Monoidal and symmetrized parametrized topological complexity

Ramandeep Singh Arora, Navnath Daundkar

We introduce and study monoidal and symmetrized versions of parametrized topological complexity. First, we develop parametrized analogues of the monoidal topological complexity the…

math.AT2026

On the $m$ -dimensional sectional category and induced invariants

Ramandeep Singh Arora, Sutirtha Datta, Navnath Daundkar +1

In this paper, we systematically study the $m$ -dimensional sectional category of a fibration, introduced by Schwarz as an approximating invariant for the sectional category. We dev…

math.AT2024

Equivariant and invariant parametrized topological complexity

Ramandeep Singh Arora, Navnath Daundkar

For a $G$ -equivariant fibration $p : E \to B$ , we introduce and study the invariant analogue of Cohen, Farber and Weinberger's parametrized topological complexity, called the i…

math.AT2024

Sectional category with respect to group actions and sequential topological complexity of fibre bundles

Ramandeep Singh Arora, Navnath Daundkar, Soumen Sarkar

Let $X$ be a $G$ -space. In this paper, we introduce the notion of sectional category with respect to $G$ . As a result, we obtain $G$ -homotopy invariants: the LS category with respe…

math.AT2019

A Note on "Spaces of Topological Complexity One"

Ramandeep Singh Arora

Here we give a reformulation of a key lemma in the paper [2], "Spaces of Topological Complexity One", which is necessary due to an oversight.