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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.AT2023

Higher (equivariant) topological complexity of Milnor manifolds

Navnath Daundkar, Bittu Singh

J. Milnor introduced a specific class of codimension- submanifolds in the product of projective spaces, known as Milnor manifolds. This paper establishes precise bounds on the h…

math.AT2023

Group actions and higher topological complexity of lens spaces

Navnath Daundkar

In this paper, we obtain an upper bound on the higher topological complexity of the total spaces of fibrations. As an application, we improve the usual dimensional upper bound on h…

math.AT2023

Higher topological complexity of Seifert fibered manifolds

Navnath Daundkar, Rekha Santhanam, Soumyadip Thandar

In this article, we investigate the higher topological complexity of oriented Seifert fibered manifolds that are Eilenberg--MacLane spaces with infinite fundamental group…

math.CO2023

Independence complexes of wedge of graphs

Navnath Daundkar, Saikat Panja, Sachchidanand Prasad

In this article, we introduce the notion of a wedge of graphs and provide detailed computations for the independence complex of a wedge of path and cycle graphs. In particular, we…

math.AT2023

LS-category and topological complexity of Milnor manifolds and corresponding generalized projective product spaces

Navnath Daundkar

Milnor manifolds are a class of certain codimension- submanifolds of the product of projective spaces. In this paper, we study the LS-category and topological complexity of thes…

math.AT2023

LS-category and topological complexity of several families of fibre bundles

Navnath Daundkar, Soumen Sarkar

In this paper, we study upper bounds for the topological complexity of the total spaces of some classes of fibre bundles. We calculate a tight upper bound for the topological compl…