Microlocal Perverse Sheaves

S. Gelfand; R. MacPherson; K. Vilonen

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Microlocal Perverse Sheaves

S. Gelfand·R. MacPherson·K. Vilonen

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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.

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BibTeX RIS

S. Gelfand, R. MacPherson, K. Vilonen. 2005-09-19. Microlocal Perverse Sheaves. https://arxiv.org/abs/math/0509440

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