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20212026
most citedEquivariant parametrized topological complexity

2 citations · 2 across the 26 of their papers we have counts for

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math.AT2024

Equivariant and invariant parametrized topological complexity

Ramandeep Singh Arora, Navnath Daundkar

For a -equivariant fibration , we introduce and study the invariant analogue of Cohen, Farber and Weinberger's parametrized topological complexity, called the i…

math.AT2024

Higher topological complexity of planar polygon spaces having small genetic codes

Sutirtha Datta, Navnath Daundkar, Abhishek Sarkar

We study the higher (sequential) topological complexity, a numerical homotopy invariant for the planar polygon spaces. For these spaces with a small genetic codes and dimension …

math.AT2024

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

Ramandeep Singh Arora, Navnath Daundkar, Soumen Sarkar

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

math.AT2024★ 2 cited

Equivariant parametrized topological complexity

Navnath Daundkar

In this paper, we define and study an equivariant analogue of Cohen, Farber and Weinberger's parametrized topological complexity. We show that several results in the non-equivarian…

math.AT2024

Sequential parametrized topological complexity of group epimorphisms

Navnath Daundkar

We introduce and study the sequential analogue of Grant's parametrized topological complexity of group epimorphisms, which generalizes the sequential topological complexity of grou…

math.AT2024

LS-category and topological complexity of real torus manifolds and Dold manifolds of real torus type

Koushik Brahma, Navnath Daundkar, Soumen Sarkar

The real torus manifolds are a generalization of small covers, and the Dold manifolds of real torus type are a class of non-trivial fibre bundles over the projective product spaces…