3 papers
math.AT2026
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…
math.AT2025
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…
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 …