2 citations · 2 across the 26 of their papers we have counts for
29 papers
Equivariant persistence topological complexity
Navnath Daundkar, Ankur Sarkar, Bittu Singh
We introduce equivariant persistent analogues of Lusternik-Schnirelmann category, topological complexity, cup length, and zero-divisors cup length for persistent spaces with group…
On generalized complex projective product spaces
Navnath Daundkar, Soumen Sarkar
Free circle action on manifolds has been explored in several articles. Gonzalez and Velasco considered some free circle actions on the finite product of spheres. In this paper, we…
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…
Equivariant Relative Sectional Category and Induced Invariants
Navnath Daundkar, Rekha Santhanam, Bittu Singh
The relative sectional category, introduced by González, Grant, and Vandembroucq for fibrations and later extended by García-Calcines to arbitrary maps, provides a common framework…
On the Sequential topological complexity of directed (parametrized) motion planning algorithms
Navnath Daundkar, Abhishek Sarkar, Ankur Sarkar
We introduce sequential analogues of directed (parametrized) topological complexity, in the context of motion planning problems requiring a system to traverse a prescribed sequence…
New Bounds on Distributional Sectional Category and Applications to Distributional Homotopic Distance
Navnath Daundkar, J. M. García-Calcines
In this paper, we establish several new bounds for the distributional sectional category (). We first prove Jauhari's conjecture, thereby establishing a cohomologi…
Discrete version of topological complexity of maps
Sutirtha Datta, Navnath Daundkar, Abhishek Sarkar +1
We introduce and study discrete analogs of Scott's and Murillo-Wu's topological complexity of maps. We prove that these discrete analogs are contiguity invariants and are, in fact,…
On sequential versions of various parametrized invariants
Navnath Daundkar, Abhishek Sarkar, Ankur Sarkar
In this paper, we introduce and study sequential versions of several fibrewise homotopy invariants, including parametrized topological complexity, parametrized (subspace) homotopic…
On the -dimensional sectional category and induced invariants
Ramandeep Singh Arora, Sutirtha Datta, Navnath Daundkar +1
In this paper, we systematically study the -dimensional sectional category of a fibration, introduced by Schwarz as an approximating invariant for the sectional category. We dev…
Equivariant homotopic distance
Navnath Daundkar, J. M. García-Calcines
We introduce and study the notion of \emph{equivariant homotopic distance} between -maps . We show that the equivariant Lusternik-Schnirelmann cat…
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 the topological complexity of directed parametrized motion planning
Sutirtha Datta, Navnath Daundkar, Abhishek Sarkar
We introduce and study a parametrized analogue of the directed topological complexity, originally developed by Goubault, Farber, and Sagnier. We establish the fibrewise basic dihom…
Parametrized homotopic distance
Navnath Daundkar, J. M. García-Calcines
We introduce the concept of parametrized homotopic distance, extending the classical notion of homotopic distance to the fibrewise setting. We establish its correspondence with the…
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…
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 …
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…
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…
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…
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…
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…
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…
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…
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…
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…