Microlocal Perverse Sheaves
Algebraic Geometry
2007-05-23 v1
Abstract
Microlocal perverse sheaves form a stack on the cotangent bundle of a complex manifold that is the analogue of the stack of perverse sheaves on the manifold itself. We give an embedding of the stack of microlocal perverse sheaves into a simpler stack on the cotangent bundle which we call melded Morse systems. The category of melded Morse systems is elementary, in the sense that an object is a collection of vector spaces and a collection of linear maps between them satisfying certain composition relations.
Keywords
Cite
@article{arxiv.math/0509440,
title = {Microlocal Perverse Sheaves},
author = {S. Gelfand and R. MacPherson and K. Vilonen},
journal= {arXiv preprint arXiv:math/0509440},
year = {2007}
}