Volume 8, issue 3 (2004)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 29, 1 issue

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
The surgery obstruction groups of the infinite dihedral group

Francis X Connolly and James F Davis

Geometry & Topology 8 (2004) 1043–1078
Bibliography
1 C Arf, Untersuchungen über quadratische Formen in Körpern der Charakteristik 2 I, J. Reine Angew. Math. 183 (1941) 148 MR0008069
2 H Bass, Algebraic $K$–theory, W. A. Benjamin, New York-Amsterdam (1968) MR0249491
3 M Banagl, A Ranicki, Generalized Arf invariants in algebraic $L$–theory, Adv. Math. 199 (2006) 542 MR2189218
4 W Browder, Surgery on simply-connected manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete 65, Springer (1972) MR0358813
5 S E Cappell, Splitting obstructions for Hermitian forms and manifolds with $Z_{2}\subset \pi_{1}$, Bull. Amer. Math. Soc. 79 (1973) 909 MR0339225
6 S E Cappell, On connected sums of manifolds, Topology 13 (1974) 395 MR0358793
7 S E Cappell, Unitary nilpotent groups and Hermitian $K$–theory I, Bull. Amer. Math. Soc. 80 (1974) 1117 MR0358815
8 S E Cappell, Manifolds with fundamental group a generalized free product. I, Bull. Amer. Math. Soc. 80 (1974) 1193 MR0356091
9 S E Cappell, A splitting theorem for manifolds, Invent. Math. 33 (1976) 69 MR0438359
10 F Connolly, T Koźniewski, $\mathrm{Nil}$ groups in $K$–theory and surgery theory, Forum Math. 7 (1995) 45 MR1307955
11 F Connolly, A Ranicki, On the calculation of UNil, Adv. Math. 195 (2005) 205 MR2145796
12 F T Farrell, The exponent of $\mathrm{UNil}$, Topology 18 (1979) 305 MR551012
13 F T Farrell, L E Jones, Isomorphism conjectures in algebraic $K$–theory, J. Amer. Math. Soc. 6 (1993) 249 MR1179537
14 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", Ann. of Math. Stud. 145, Princeton Univ. Press (2000) 225 MR1747537
15 M A Kervaire, J W Milnor, Groups of homotopy spheres I, Ann. of Math. $(2)$ 77 (1963) 504 MR0148075
16 A A Ranicki, Letter to Frank Connolly (1996)
17 A A Ranicki, Algebraic $L$–theory II: Laurent extensions, Proc. London Math. Soc. $(3)$ 27 (1973) 126 MR0414662
18 A A Ranicki, Algebraic $L$–theory III: Twisted Laurent extensions, from: "Algebraic K-theory, III: Hermitian K-theory and geometric application (Proc. Conf. Seattle Res. Center, Battelle Memorial Inst., 1972)", Springer (1973) MR0414663
19 A A Ranicki, Algebraic $L$–theory IV: Polynomial extension rings, Comment. Math. Helv. 49 (1974) 137 MR0414664
20 A Ranicki, The algebraic theory of surgery I: Foundations, Proc. London Math. Soc. $(3)$ 40 (1980) 87 MR560997
21 A Ranicki, Exact sequences in the algebraic theory of surgery, Mathematical Notes 26, Princeton University Press (1981) MR620795
22 A Ranicki, High-dimensional knot theory, Springer Monographs in Mathematics, Springer (1998) MR1713074
23 W Scharlau, Quadratic and Hermitian forms, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Springer (1985) MR770063
24 J L Shaneson, Wall's surgery obstruction groups for $G\times Z$, Ann. of Math. $(2)$ 90 (1969) 296 MR0246310
25 J Stallings, Whitehead torsion of free products, Ann. of Math. $(2)$ 82 (1965) 354 MR0179270
26 F Waldhausen, Algebraic $K$–theory of generalized free products I, II, Ann. of Math. $(2)$ 108 (1978) 135 MR0498807
27 C T C Wall, Surgery of non-simply-connected manifolds, Ann. of Math. $(2)$ 84 (1966) 217 MR0212827
28 C T C Wall, Surgery on compact manifolds, Mathematical Surveys and Monographs 69, American Mathematical Society (1999) MR1687388