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arXiv · 1507.01513

Non-characteristic expansions of Legendrian singularities

David Nadler
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Abstract

This paper presents an algorithm to deform any Legendrian singularity to a nearby Legendrian subvariety with singularities of a simple combinatorial nature. Furthermore, the category of microlocal sheaves on the original Legendrian singularity is equivalent to that on the nearby Legendrian subvariety. This yields a concrete combinatorial model for microlocal sheaves, as well as an elementary method for calculating them.

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David Nadler. 2015-07-06. Non-characteristic expansions of Legendrian singularities. https://arxiv.org/abs/1507.01513

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