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Wrapped microlocal sheaves on pairs of pants

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arxiv 1604.00114 v1 pith:XB6MAMVF submitted 2016-04-01 math.SG math-phmath.MPmath.RT

classification math.SGmath-phmath.MPmath.RT
keywords wrappedmicrolocalsheavescategoriesfukayapairspantsanalogy
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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.

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Cited by 3 Pith papers

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

  1. Lagrangian skeleta of very affine complete intersections

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    The Lagrangian skeleton of an open Batyrev–Borisov complete intersection is a sphere-with-tori inside an FLTZ skeleton, yielding homological mirror symmetry at the large-volume limit.

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    A new category of Hodge microsheaves is defined via gluing mixed Hodge modules, and it reproduces Hain's loop Hodge structure on P^n and gives a mixed-geometric proof of Etgü–Lekili Koszul duality.

  3. Toric Mirror Symmetry for Homotopy Theorists

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    A fully faithful symmetric monoidal coherent-constructible correspondence is constructed for smooth projective toric schemes over the sphere spectrum.

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