Inertia groups of high dimensional complex projective spaces
Algebraic Topology
2018-03-16 v1 Geometric Topology
Abstract
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 non-trivial in many cases. In complex dimension 9, we deduce some results on geometric structures on homotopy complex projective spaces and complex hyperbolic manifolds.
Cite
@article{arxiv.1510.02636,
title = {Inertia groups of high dimensional complex projective spaces},
author = {Samik Basu and Ramesh Kasilingam},
journal= {arXiv preprint arXiv:1510.02636},
year = {2018}
}