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Wrapped microlocal sheaves on pairs of pants

Symplectic Geometry 2016-04-04 v1 Mathematical Physics math.MP Representation Theory

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.

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Cite

@article{arxiv.1604.00114,
  title  = {Wrapped microlocal sheaves on pairs of pants},
  author = {David Nadler},
  journal= {arXiv preprint arXiv:1604.00114},
  year   = {2016}
}

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50 pages