O2 (C)-Vector Bundles and Equivariant Real Circle Actions

Lucy Moser-Jauslin (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

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 O2(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.

Mots clés: Circle group action; Affine space; G-vector bundle

Domaines: Mathématiques [math]

Lucy Moser-Jauslin. O2 (C)-Vector Bundles and Equivariant Real Circle Actions. Shigeru Kuroda, Nobuharu Onoda, Gene Freudenburg. Polynomial Rings and Affine Algebraic Geometry, 319, , pp.209-221, 2020, Polynomial Rings and Affine Algebraic Geometry, 978-3-030-42135-9. ⟨10.1007/978-3-030-42136-6_9⟩. ⟨hal-02527792⟩