Ankur Sarkar

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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

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 sequential versions of various parametrized invariants

Enumerating Smooth Structures on CP3×Sk

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