Numerical invariants of perverse sheaves
type: Item
instance of: scholarly article
title: Numerical invariants of perverse sheaves
zbMATH Open document ID: 0799.32033
DOI: 10.1215/S0012-7094-94-07315-8
author: David B. Massey
published in: Duke Mathematical Journal
publication date: 1994-05-24T00:00:00Z
review text: ``We provide a general framework for associating numerical data to an arbitrary, bounded, constructible complex of sheaves on a complex analytic space. The usefulness of our approach can be seen in how it unifies two seemingly very different problems: how to produce numerical data which generalizes the Milnor number of an isolated affine hypersurface singularity, and how to produce an analytic cycle which represents the MacPherson-Chern class of a given constructible function on an analytic space''. ``We recover the index theorem of Brylinski, Dubson, and Kashiwara, we describe the result of McCrory that the characteristic polar cycles give local MacPherson-Chern classes, we recover a result of Gaffney which gives a new description of the Lê cycles of a hypersurface singularity, and we look at an example related to Damon's work on a generalization of the \(\mu^*\) sequence to nonisolated hypersurface singularities''.
Mathematics Subject Classification ID: 32S60
Mathematics Subject Classification ID: 32C18
Mathematics Subject Classification ID: 32S05
Mathematics Subject Classification ID: 32S25
Mathematics Subject Classification ID: 32S55
zbMATH DE Number: 572064
zbMATH Keywords: perverse sheaf
zbMATH Keywords: derived category
zbMATH Keywords: constructible complex of sheaves
zbMATH Keywords: Borel-Moore homology
zbMATH Keywords: intersection cohomology
reviewed by: Krzysztof Dabrowski
MaRDI profile type: Publication
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full work available at URL: s0012-7094-94-07315-8
OpenAlex ID: W2054993803
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