A remark on continuous K-theory and Fourier-Sato transformation
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 [ Coherent-constructible correspondences and log-perfectoid mirror symmetry for the torus , 2017. Preprint, available at https://math.berkeley.edu/ vaintrob/toric.pdf].
Fields of Study & Subjects
Mathematical Analysis and Transform Methods
Advanced Algebra and Geometry
Advanced Topics in Algebra
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 6
- Pages
- 2357–2368
- Publication date
- 13 March 2026
- Language
- EN