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On the Hochschild cohomology of Tamarkin categories

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arxiv 2312.11447 v3 pith:B6ZTSL7D submitted 2023-12-18 math.SG

Christopher Kuo , Vivek Shende , Bingyu Zhang This is my paper · ORCID
classification math.SG
keywords cohomologycategoryhochschildtamarkinagreesassociatedbundlecategories
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To any open subset of a cotangent bundle, Tamarkin has associated a certain quotient of a category of sheaves. Here we show that the Hochschild cohomology of this category agrees with filtered symplectic cohomology.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Density of fibers for the filtered Fukaya category of $T^*N$

    math.SG 2026-02 conditional novelty 7.0 of 10

    Iterated cones of cotangent fibers are dense in the filtered Fukaya category with respect to the interleaving distance, with a dim N + 1-cone improvement.

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

    math.AT 2025-06 conditional novelty 6.0 of 10

    For any conic closed set X in the dual space, the universal localizing invariant of sheaves with microsupport over X equals the compactly supported cohomology of X, and the Tamarkin-category version holds up to suspension.

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