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arXiv · 1611.01931

Topological K-theory of Equivariant Singularity Categories

Michael K. Brown·Tobias Dyckerhoff
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Abstract

We study the topological K-theory spectrum of the dg singularity category associated to a weighted projective complete intersection. We calculate the topological K-theory of the dg singularity category of a weighted projective hypersurface in terms of its Milnor fiber and monodromy operator, and, as an application, we obtain a lift of the Atiyah-Bott-Shapiro construction to the level of spectra.

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Michael K. Brown, Tobias Dyckerhoff. 2016-11-07. Topological K-theory of Equivariant Singularity Categories. https://arxiv.org/abs/1611.01931

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