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

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.

11 pages. Comments are welcome! v2: Minor revision. Final version, to appear in Proc. AMS

References in corpus (4)

• A universal characterization of higher algebraic K-theory
• Riemann-Hilbert correspondence for holonomic D-modules
• On the Laplace transform for tempered holomorphic functions
• Non-linear microlocal cut-off functors