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arXiv · 2411.19095

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

Ryosuke Sakamoto
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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's triangle in the context of multi-microlocal analysis. Ultimately we get the Sato's triangle for the multi-microlocalized Hom functors.

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Ryosuke Sakamoto. 2024-11-28. The stalk formula for multi-microlocal Hom functors and multi-microlocal Sato's triangle. https://arxiv.org/abs/2411.19095

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