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arXiv · 1507.03329

Knoerrer Periodicity and Bott Periodicity

Michael K. Brown
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Abstract

The goal of this article is to explain a precise sense in which Knoerrer periodicity in commutative algebra and Bott periodicity in topological K-theory are compatible phenomena. Along the way, we prove an 8-periodic version of Knoerrer periodicity for real isolated hypersurface singularities, and we construct a homomorphism from the Grothendieck group of the homotopy category of matrix factorizations of a complex (real) polynomial $f$ into the topological K-theory of its Milnor fiber (positive or negative Milnor fiber).

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Michael K. Brown. 2015-07-13. Knoerrer Periodicity and Bott Periodicity. https://arxiv.org/abs/1507.03329

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