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G-invariant spin structures on spheres

Daura Serrano, Jordi; Kohn, Michael; Lawn, Marie-Amélie


Jordi Daura Serrano

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Michael Kohn
PGR Student Doctor of Philosophy

Marie-Amélie Lawn


We examine which of the compact connected Lie groups that act transitively on spheres of different dimensions leave the unique spin structure of the sphere invariant. We study the notion of invariance of a spin structure and prove this classification in two different ways; through examining the differential of the actions and through representation theory.


Daura Serrano, J., Kohn, M., & Lawn, M. (2022). G-invariant spin structures on spheres. Annals of Global Analysis and Geometry, 62(2), 437-455.

Journal Article Type Article
Acceptance Date May 24, 2022
Online Publication Date Jun 30, 2022
Publication Date 2022-09
Deposit Date Nov 18, 2022
Journal Annals of Global Analysis and Geometry
Print ISSN 0232-704X
Electronic ISSN 1572-9060
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 62
Issue 2
Pages 437-455
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