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arXiv · 2406.02725

Non-linear microlocal cut-off functors

Bingyu Zhang
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Abstract

To any conic closed set of a cotangent bundle, one can associate four functors on the category of sheaves, which are called non-linear microlocal cut-off functors. Here we explain their relation with the microlocal cut-off functor defined by Kashiwara and Schapira, and prove a microlocal cut-off lemma for non-linear microlocal cut-off functors, adapting inputs from symplectic geometry. We also prove two K\"unneth formulas and a functor classification result for categories of sheaves with microsupport conditions.

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BibTeXRIS

Bingyu Zhang. 2024-06-04. Non-linear microlocal cut-off functors. https://doi.org/10.4171/rsmup%2F174

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