Ankur Sarkar

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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

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 $OP^{2} \times D^{k}$ of the Cayley projective plane $OP^{2}$ for every $k \geq 1$ …

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

Smooth Structures on $M \times S^{k}$

Samik Basu, Ramesh Kasilingam, Ankur Sarkar

This paper explores various differentiable structures on the product manifold $M \times S^{k}$ , where $M$ is either a 4-dimensional closed, oriented, smooth manifold or a si…

math.AT2025

Enumerating Smooth Structures on $C P^{3} \times S^{k}$

Samik Basu, Ramesh Kasilingam, Ankur Sarkar

In this paper, we compute the concordance inertia group of the product $M \times S^{k}$ , where $M$ is a simply connected, closed, smooth 6-manifold, for $1 \leq k \leq 10$ ,…

On the Sequential topological complexity of directed (parametrized) motion planning algorithms

Relative Smooth Surgery Structure Sets of Thickenings of the Cayley Projective Plane and Applications

On sequential versions of various parametrized invariants

Smooth Structures on M×Sk

Enumerating Smooth Structures on CP3×Sk

Smooth Structures on $M \times S^{k}$

Enumerating Smooth Structures on $C P^{3} \times S^{k}$