Work

The stalk formula for multi-microlocal Hom functors and the multi-microlocal Sato triangle

Year: 2025

Type: article

Abstract: The concept of “multi-microlocalization” was introduced to extend the usual microlocal sheaf theory to a more general scope. This paper aims to further extend this theory by exploring advanced topics. One is a stalk formula for multi-microlocalized Hom functors and we compute some examples in multi-microlocal settings. Secondly we construct the Sato triangle in the context of multi-microlocal analysis. Ultimately we get the Sato triangle for the multi-microlocalized Hom functors.

Source: Rendiconti del Seminario Matematico della Università di Padova

DOI: 10.4171/rsmup/180

Author: Ryosuke Sakamoto

Institution: Hokkaido University

Language: English

Topic: Mathematical and Theoretical Analysis

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410670928

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