On the Hochschild cohomology of Tamarkin categories
Christopher Kuo, Vivek Shende, and Bingyu Zhang

TL;DR
This paper establishes a connection between the Hochschild cohomology of Tamarkin categories associated with open subsets of cotangent bundles and filtered symplectic cohomology, revealing a deep link between sheaf theory and symplectic topology.
Contribution
The paper proves that the Hochschild cohomology of Tamarkin categories is isomorphic to filtered symplectic cohomology, providing a new bridge between sheaf-theoretic and symplectic invariants.
Findings
Hochschild cohomology of Tamarkin categories matches filtered symplectic cohomology.
Establishes a new link between sheaf theory and symplectic topology.
Advances understanding of categorical invariants in symplectic geometry.
Abstract
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry
