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arXiv · 1807.00524

Infinite families of inequivalent real circle actions on affine four-space

Lucy Moser-Jauslin
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Abstract

The main result of this article is to construct infinite families of non-equivalent equivariant real forms of linear C*-actions on affine four-space. We consider the real form of C* whose fixed point is a circle. In [F-MJ] one example of a non-linearizable circle action was constructed. Here, this result is generalized by developing a new approach which allows us to compare different real forms. The constructions of these forms are based on the structure of equivariant O2(C)-vector bundles.

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Lucy Moser-Jauslin. 2018-07-02. Infinite families of inequivalent real circle actions on affine four-space. https://arxiv.org/abs/1807.00524

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