Volume 16 (2009)

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Intersection homological algebra

Mark Hovey

Geometry & Topology Monographs 16 (2009) 133–150

DOI: 10.2140/gtm.2009.16.133

Abstract

We investigate the abelian category which is the target of intersection homology. Recall that, given a stratified space X, we get intersection homology groups IpHnX depending on the choice of an n–perversity p. The n–perversities form a lattice, and we can think of IHnX as a functor from this lattice to abelian groups, or more generally R–modules. Such perverse R–modules form a closed symmetric monoidal abelian category. We study this category and its associated homological algebra.

Keywords

intersection homology, perversity, homological algebra

Mathematical Subject Classification

Primary: 55N33

Secondary: 18G35, 55U35

References
Publication

Received: 14 August 2008
Accepted: 19 December 2008
Published: 16 June 2009

Authors
Mark Hovey
Mathematics and Computer Science
Wesleyan University
Middletown, CT 06459
USA