\(O_2(\mathbb {C})\)-Vector Bundles and Equivariant Real Circle Actions

Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 319)


The main goal of this article is to give an expository overview of some new results on real circle actions on affine four-space and their relation to previous results on \(O_2(\mathbb {C})\)-equivariant vector bundles. In Moser-Jauslin (Infinite families of inequivalent real circle actions on affine four-space, 2019, [13]), we described infinite families of equivariant real circle actions on affine four-space. In the present note, we will describe how these examples were constructed, and some consequences of these results.


Circle group action Affine space G-vector bundle 


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Authors and Affiliations

  1. 1.Institut de Mathématiques de Bourgogne, UMR 5584 du CNRSUniversité de Bourgogne Franche-ComtéDijonFrance

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