arXiv Open Access 2022

Translation numbers for bundle automorphisms and a cocycle on a group of homeomorphisms

Shuhei Maruyama

Lihat Sumber

Abstrak

We introduce and study translation numbers for automorphisms of principal $\mathbb{Z}$-bundles and flat principal $\mathbb{R}$-bundles. We use them to show a vanishing result of a characteristic class of foliated bundles and to detect undistortion elements in the group of bundle automorphisms.

Topik & Kata Kunci

math.DS

Penulis (1)

Shuhei Maruyama

Format Sitasi

APA MLA BibTeX

Maruyama, S. (2022). Translation numbers for bundle automorphisms and a cocycle on a group of homeomorphisms. https://arxiv.org/abs/2201.11436

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓