An indecomposable PD3–complex : II

Hillman, Jonathan A

doi:10.2140/agt.2004.4.1103

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An indecomposable $PD_3$–complex : II

Jonathan A Hillman

Algebraic & Geometric Topology 4 (2004) 1103–1109

DOI: 10.2140/agt.2004.4.1103

arXiv: math.AT/0412248

Abstract

We show that there are two homotopy types of $P D_{3}$ –complexes with fundamental group $S_{3} *_{Z ∕ 2 Z} S_{3}$ , and give explicit constructions for each, which differ only in the attachment of the top cell.

Keywords

indecomposable, Poincaré duality, $PD_3$–complex

Mathematical Subject Classification 2000

Primary: 57P10

Secondary: 55M05

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Publication

Received: 4 August 2004

Accepted: 16 November 2004

Published: 25 November 2004

Authors

Jonathan A Hillman
School of Mathematics and Statistics F07 University of Sydney NSW 2006 Australia

Volume 4, issue 2 (2004)