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The Auslander-Reiten quiver of a Poincare duality space

2003/04/06 by Peter Jorgensen, Jorgensen, Peter
Mathematics · #16E45 #16G70 #55P62 #Algebraic Topology (math.AT) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.AT #math.RA #math.RT #msc:16E45 #msc:16G70 #msc:55P62

paper · pdf · doi:10.48550/arxiv.math/0304080

14 pages

arxiv created 2003/04/06 · arxiv updated 2009/11/30

Abstract

In a previous paper, math.AT/0304079, Auslander-Reiten triangles and quivers were introduced into algebraic topology. This paper shows that over a Poincare duality space, each component of the Auslander-Reiten quiver is isomorphic to ZA.

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