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math.AT2026
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…
math.AT2026
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,…
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…