Inertia groups of high-dimensional complex projective spaces
Algebraic and Geometric Topology
For a complex projective space the inertia group, the homotopy inertia group and the concordance inertia group are isomorphic. In complex dimension 4n+1, these groups are related to computations in stable cohomotopy. Using stable homotopy theory, we make explicit computations to show that the inertia group is nontrivial in many cases. In complex dimension 9, we deduce some results on geometric structures on homotopy complex projective spaces and complex hyperbolic manifolds.
Basu, Samik and Kasilingam, Ramesh, "Inertia groups of high-dimensional complex projective spaces" (2018). Journal Articles. 1515.