Ramesh Kasilingam

collaborators

4 papers

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.CO2025

On the Classification of Planar-Rips complexes and their corresponding unit disk graphs

Vinay Sipani, Ramesh Kasilingam

Given a metric space $(X, d)$ , the Vietoris-Rips complex of $X$ at a scale of $r > 0$ is a simplicial complex whose simplices are all those finite subsets of $X$ with diameter less t…

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

On the Classification of Planar-Rips complexes and their corresponding unit disk graphs

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 $C P^{3} \times S^{k}$