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arXiv · 2506.02329

A remark on Continuous K-theory and Fourier-Sato transform

Bingyu Zhang
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Abstract

In this note, we prove a generalization of Efimov's computation for the universal localizing invariant of categories of sheaves with certain microsupport constraints. The proof is based on certain categorical equivalences given by the Fourier-Sato transform, which is different from the original proof. As an application, we compute the universal localizing invariant of the category of almost quasi-coherent sheaves on the Novikov toric scheme introduced by Vaintrob.

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Bingyu Zhang. 2025-06-02. A remark on Continuous K-theory and Fourier-Sato transform. https://doi.org/10.1090/proc%2F17589

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