4 papers · 2 filters
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 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…
Relative Smooth Surgery Structure Sets of Thickenings of the Cayley Projective Plane and Applications
Souvik Mandal, Ankur Sarkar
We compute the relative smooth surgery structure sets of the thickenings of the Cayley projective plane for every …
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…