Algebraic & Geometric Topology Volume 9, issue 3 (2009)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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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

Bibliography

1	M F Atiyah, I M Singer, The index of elliptic operators. III, Ann. of Math. $(2)$ 87 (1968) 546 MR0236952
2	P E Conner, E E Floyd, Differentiable periodic maps, Ergebnisse der Math. und ihrer Grenzgebiete 33, Academic Press (1964) MR0176478
3	I Hambleton, L R Taylor, A guide to the calculation of the surgery obstruction groups for finite groups, from: "Surveys on surgery theory, Vol. 1" (editors S Cappell, A Ranicki, J Rosenberg), Ann. of Math. Stud. 145, Princeton Univ. Press (2000) 225 MR1747537
4	W Lück, A basic introduction to surgery theory, from: "Topology of high-dimensional manifolds, No. 1, 2 (Trieste, 2001)" (editors F T Farrell, L Göttsche, W Lück), ICTP Lect. Notes 9, Abdus Salam Int. Cent. Theoret. Phys. (2002) 1 MR1937016
5	T Macko, C Wegner, On the classification of fake lens spaces arXiv:0810.1196
6	I Madsen, R J Milgram, The classifying spaces for surgery and cobordism of manifolds, Annals of Math. Studies 92, Princeton University Press (1979) MR548575
7	S López de Medrano, Involutions on manifolds, Ergebnisse der Math. und ihrer Grenzgebiete 59, Springer (1971) MR0298698
8	J Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966) 358 MR0196736
9	J W Morgan, D P Sullivan, The transversality characteristic class and linking cycles in surgery theory, Ann. of Math. $(2)$ 99 (1974) 463 MR0350748
10	T Petrie, The Atiyah–Singer invariant, the Wall groups $L_{n}(\pi , 1)$, and the function $(te^{x}+1)/(te^{x}-1)$, Ann. of Math. $(2)$ 92 (1970) 174 MR0319216
11	A A Ranicki, A composition formula for manifold structures arXiv:math.AT.0608705
12	A A Ranicki, Algebraic $L$–theory and topological manifolds, Cambridge Tracts in Math. 102, Cambridge Univ. Press (1992) MR1211640
13	C T C Wall, Surgery on compact manifolds, Math. Surveys and Monogr. 69, Amer. Math. Soc. (1999) MR1687388
14	C M Young, Normal invariants of lens spaces, Canad. Math. Bull. 41 (1998) 374 MR1637689