Wrapped microlocal sheaves on pairs of pants

Abstract

Inspired by the geometry of wrapped Fukaya categories, we introduce the notion of wrapped microlocal sheaves. We show that traditional microlocal sheaves are equivalent to functionals on wrapped microlocal sheaves, in analogy with the expected relation of infinitesimal to wrapped Fukaya categories. As an application, we calculate wrapped microlocal sheaves on higher-dimensional pairs of pants, confirming expectations from mirror symmetry.

50 pages

References in corpus (1)

• Higher Topos Theory

Cited by in corpus (30)

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• Sheaf quantization in Weinstein symplectic manifolds
• The Fukaya category pairs with Lagrangian cobordisms
• Perverse sheaves of categories and some applications
• Homological mirror symmetry at large volume
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• Categorical localization for the coherent-constructible correspondence
• Mirror symmetry for perverse schobers from birational geometry
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• Positive arborealization of polarized Weinstein manifolds
• Categorical Logarithmic Hodge Theory, I
• Complex K-theory of mirror pairs
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• Line fields on punctured surfaces and twisted derived categories
• Homological Mirror Symmetry for the universal centralizers I: The adjoint group case
• Lagrangian cobordism functor in microlocal sheaf theory I