Non-characteristic expansions of Legendrian singularities
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2015
- DOI:
- 10.48550/arXiv.1507.01513
- arXiv:
- arXiv:1507.01513
- Bibcode:
- 2015arXiv150701513N
- Keywords:
-
- Mathematics - Symplectic Geometry;
- Mathematics - Representation Theory
- E-Print:
- 47 pages, 6 figures