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arXiv · 2403.00342

A proof of Bott periodicity via Quot schemes and bulk-edge correspondence

Masaki Natori
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Abstract

In this paper, we give alternative proofs of Bott periodicity of $ K $-theory and the bulk-edge correspondence of integer quantum Hall effect. Regarding Bott periodicity, we connect its proof with configuration spaces and use Quot schemes in algebraic geometry in our proof. Regarding the bulk-edge correspondence, we formulate edge indices based on the consideration of Graf--Porta and give a more elementary and self-contained proof.

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Masaki Natori. 2024-03-01. A proof of Bott periodicity via Quot schemes and bulk-edge correspondence. https://arxiv.org/abs/2403.00342

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