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

Macko, Tibor; Wegner, Christian

doi:10.2140/agt.2009.9.1837

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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

DOI: 10.2140/agt.2009.9.1837

Abstract

We present a classification of fake lens spaces of dimension $\geq 5$ which have as fundamental group the cyclic group of order $N = 2^{K}$ , 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

Volume 9, issue 3 (2009)