Volume 9, issue 3 (2009)

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On fake lens spaces with fundamental group of order a power of $2$

Tibor Macko and Christian Wegner

Algebraic & Geometric Topology 9 (2009) 1837–1883
Abstract

We present a classification of fake lens spaces of dimension 5 which have as fundamental group the cyclic group of order N = 2K, which extends the results of Wall and others in the case N = 2.

Keywords
lens space, structure set, $\rho$–invariant, normal invariants, surgery
Mathematical Subject Classification 2000
Primary: 57R65, 57S25
References
Publication
Received: 25 August 2008
Revised: 9 July 2009
Accepted: 30 August 2009
Published: 3 October 2009
Authors
Tibor Macko
Mathematisches Institut
Universität Münster
Einsteinstraße 62
Münster D-48149
Germany
Matematický Ústav SAV
Štefánikova 49
Bratislava SK-81473
Slovakia
http://www.math.uni-muenster.de/u/macko
Christian Wegner
Mathematisches Institut
Universität Münster
Einsteinstraße 62
Münster D-48149
Germany