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arXiv · 1804.08928

Sheaf Quantization of Legendrian Isotopy

Peng Zhou
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Abstract

Let $\{\Lambda^\infty_t\}$ be an isotopy of Legendrians (possibly singular) in a unit cosphere bundle $S^*M$. Let $Sh(M, \Lambda^\infty_t)$ be the differential graded (dg) derived category of constructible sheaves on $M$ with singular support at infinity contained in $\Lambda^\infty_t$. We prove that if the isotopy of Legendrians embeds into an isotopy of Weinstein hypersurfaces, then the categories $Sh(M, \Lambda^\infty_t)$ are invariant.

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Peng Zhou. 2018-04-24. Sheaf Quantization of Legendrian Isotopy. https://arxiv.org/abs/1804.08928

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