Inertia groups of high-dimensional complex projective spaces

Authors

Samik Basu, Indian Association for the Cultivation of Science
Ramesh Kasilingam, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

Algebraic and 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 nontrivial in many cases. In complex dimension 9, we deduce some results on geometric structures on homotopy complex projective spaces and complex hyperbolic manifolds.

First Page

387

Last Page

408

DOI

10.2140/agt.2018.18.387

Publication Date

1-10-2018

Comments

All Open Access, Green

Recommended Citation

Basu, Samik and Kasilingam, Ramesh, "Inertia groups of high-dimensional complex projective spaces" (2018). Journal Articles. 1515.
https://digitalcommons.isical.ac.in/journal-articles/1515