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arXiv · 2411.09122

Complex Bott Periodicity in algebraic geometry

Hannah Larson·Ravi Vakil
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Abstract

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.

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Hannah Larson, Ravi Vakil. 2024-11-14. Complex Bott Periodicity in algebraic geometry. https://arxiv.org/abs/2411.09122

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