Ramesh Kasilingam

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math.AT2026

Diffeomorphism Classification of Smooth Structures and Tangential Homotopy Types of $C P^{m}$ for $5 \leq m \leq 8$

Ramesh Kasilingam

This paper provides a diffeomorphism classification of smooth manifolds homeomorphic to the complex projective space $C P^{m}$ for $m \in {5, 6, 7, 8}$ . The classification…

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 $1 \leq k \leq 10$ ,…

Diffeomorphism Classification of Smooth Structures and Tangential Homotopy Types of CPm for 5≤m≤8

Smooth Structures on M×Sk

Enumerating Smooth Structures on CP3×Sk

Diffeomorphism Classification of Smooth Structures and Tangential Homotopy Types of $C P^{m}$ for $5 \leq m \leq 8$

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

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