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Inertia groups of
high-dimensional complex projective spaces
Samik Basu and Ramesh Kasilingam |
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Algebraic & Geometric Topology 18 (2018) 387–408
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Abstract |
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For a complex projective space the inertia group, the homotopy inertia group and the concordance inertia group are isomorphic. In complex dimension , 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 , we deduce some results on geometric structures on homotopy complex projective spaces and complex hyperbolic manifolds. |
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Keywords
complex projective spaces, smooth structures, inertia
groups, concordance
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Mathematical Subject Classification 2010
Primary: 57R55, 57R60
Secondary: 55P25, 55P42
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References |
Publication
Received: 13 November 2016
Revised: 10 July 2017
Accepted: 17 July 2017
Published: 10 January 2018
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Authors |
| Samik Basu | |
| Department of Mathematical and
Computational Science Indian Association for the Cultivation of Science Kolkata India |
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| Ramesh Kasilingam | |
| Theoretical Statistics and
Mathematics Unit Indian Statistical Institute Bangalore India |
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