DOAJ
Open Access
2019
Infinite families of inequivalent real circle actions on affine four-space
Lucy Moser-Jauslin
Abstrak
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 $\mathbb{C}^*$ 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 $\mathrm{O}_2(\mathbb{C})$-vector bundles.
Topik & Kata Kunci
Penulis (1)
L
Lucy Moser-Jauslin
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2019
- Sumber Database
- DOAJ
- DOI
- 10.46298/epiga.2019.volume3.4685
- Akses
- Open Access ✓