Jean Baptiste Gatsinzi

Rational homotopy type of the embedding maps between total spaces of the projectivization bundles over complex projective spaces

Purpose This paper investigates the embedding maps fn,k:P(En) ↪ P(En+k), where P(En) and P(En+k) are the total spaces of the projectivized tangent bundles over CPn and CPn+k, respectively. We determine the rational homotopy type of the embedding complement C(fn,k). Design/methodo...