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arXiv · 2104.05377

Cohomology Classification of Spaces with Free S3 Actions

Anju Kumari·Hemant Kumar Singh
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Abstract

This paper gives the cohomology classification of finitistic spaces X equipped with free actions of the group G = S3 and the orbit space X/G is the integral or mod 2 cohomology quaternion projective space HPn. We have proved that X is the integral or mod 2 cohomology (4n+3)-sphere or the product of 3-sphere and quaternion projective space HPn. Similar results for G = S1 actions are also discussed.

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BibTeXRIS

Anju Kumari, Hemant Kumar Singh. 2021-04-12. Cohomology Classification of Spaces with Free S3 Actions. https://arxiv.org/abs/2104.05377

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