6 papers
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…
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 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…
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 …
The moment polytope of the abelian polygon space
Navnath Daundkar, Priyavrat Deshpande
The moduli space of chains in the plane with generic side lengths that terminate on a fixed line is a smooth, closed manifold of dimension . This manifold is also equipped…