J. Gatsinzi

collaborators

2 papers

math.AT2025

A note on the rational homotopy type of the projectivization of the tangent bundle of complex projective spaces

Meshach Ndlovu, Jean Baptiste Gatsinzi

In this paper, we determine the rational homotopy type of the total space of the projectivization of the complex tangent bundle $τ: \mathbb{C}^n \longrightarrow E \longrightarrow \…

math.AT2020

Hochschild cohomology of Sullivan algebras and mapping spaces between manifolds

J. -B. Gatsinzi

Let $e : N^{n} \to M^{m}$ be an embedding into a compact manifold $M$ . We study the relationship between the homology of the free loop space $L M$ on $M$ and of the space $L_{N} M$ …