arXiv Open Access 2024

Complex Bott Periodicity in algebraic geometry

Hannah Larson Ravi Vakil

Lihat Sumber

Abstrak

We state and prove a form of Bott periodicity (for $U(n)$) in an algebraic setting (so, $GL(n)$) which makes sense over $\mathbb{Z}$, which also specializes to Bott periodicity in the usual sense (hence giving yet another proof of classical Bott periodicity). An appendix by B. Church gives a specialization of the constructions and results to motivic homotopy theory, which may be of independent interest.

Topik & Kata Kunci

math.AG

Penulis (2)

Hannah Larson

Ravi Vakil

Format Sitasi

APA MLA BibTeX

Larson, H., Vakil, R. (2024). Complex Bott Periodicity in algebraic geometry. https://arxiv.org/abs/2411.09122

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓