Cohomology Classification of Spaces with Free S3 Actions
Algebraic Topology
2021-04-13 v1
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.
Keywords
Cite
@article{arxiv.2104.05377,
title = {Cohomology Classification of Spaces with Free S3 Actions},
author = {Anju Kumari and Hemant Kumar Singh},
journal= {arXiv preprint arXiv:2104.05377},
year = {2021}
}
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8 pages