Inertia groups of high dimensional complex projective spaces

Samik Basu; Ramesh Kasilingam

doi:10.2140/agt.2018.18.387

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arXiv · 1510.02636

Inertia groups of high dimensional complex projective spaces

Samik Basu·Ramesh Kasilingam

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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.

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Samik Basu, Ramesh Kasilingam. 2015-10-09. Inertia groups of high dimensional complex projective spaces. https://doi.org/10.2140/agt.2018.18.387

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