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Book Review
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Book Information
Author(s):
K. H. Dovermann and Reinhard Schultz
Title:
Equivariant surgery theories and their periodicity properties
Additional book information:
Lecture Notes in Mathematics, vol.~1443, Springer-Verlag, New York, 1990, 225 pp. US$24.00. ISBN 3-540-53042-8
References:
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- D. Anderson and H. Munkholm, \emph{Boundedly controlled topology} vol.~1323, Springer, New York, 1988.
- [BQ]
- W. Browder and F. Quinn, A surgery theory for $G$-manifolds and stratified sets, Manifolds, Tokyo, 1973, Univ. of Tokyo Press, 1975, pp.~27--36.
- [CS]
- S. Cappell and J. Shaneson, Nonlinear similarity, Ann. of Math. (2) \textbf{113} (1981), 311--351.
- [CW]
- S. Cappell and S. Weinberger, A geometric interpretation of Siebenmann's periodicity phenomenon, Proc. 1986 Georgia Topology Conference (McCrory and Shiffrin, eds.), Marcel Dekker Inc., New York and Basel, pp.~47--52.
- [DM]
- J. Davis and J. Milgram, A survey of the spherical space form problem, Mathematical Surveys, vol.~2, Harwood, New York, 1985.
- [DoP]
- K. H. Dovermann and T. Petrie, \emph{$G$ surgery. {\rm II}} vol.~37, Amer. Math. Soc., Providence, RI, 1982.
- [DoR]
- K. H. Dovermann and M. Rothenberg, \emph{Equivariant surgery and classification of finite group actions on manifolds} vol.~71, Amer. Math. Soc., Providence, RI, 1988.
- [FJ]
- F. T. Farrell and L. Jones, A topological analogue of Mostow's rigidity theorem, J. Amer. Math. Soc. \textbf{2} (1989), 257--370.
- [FP]
- S. Ferry and E. Pederson, Epsilon surgery theory, Binghamton preprint.
- [GPW]
- K. Grove, P. Peterson and J. Y. Wu, Geometric finiteness theorems and controlled topology, Invent. Math. \textbf{99} (1990), 205--214.
- [Ke]
- M. Kervaire, Lectures on the theorems of Browder and Novikov and Siebenmann's thesis, Tata Institute of Fundamental Res., 1969.
- [KM]
- M. Kervaire and J. Milnor, Groups of homotopy spheres, Ann. of Math. (2) \textbf{77} (1963), 504--537.
- [LM]
- W. Luck and I. Madsen, Equivariant $L$-theory. {\rm I, II}, Math. Z. \textbf{203} (1990), 503--526.
- [MTW]
- I. Madsen, C. B. Thomas, and C. T. C. Wall, The topological spherical spaceform problem. {\rm II}, Topology \textbf{15} (1976), 375--382.
- [Mi1]
- J. Milnor, \emph{A procedure for killing the homotopy groups of a manifold} vol.~3, Amer. Math. Soc., Providence, RI, 1961 pp.~39--55.
- [Mi2]
- J. Milnor, Lectures on the $h$-cobordism theorem, Princeton Univ. Press, Princeton, NJ, 1965.
- [MoS]
- J. Morgan and D. Sullivan, The transversality characteristic class and linking cycles in surgery theory, Ann. of Math. \textbf{99} (1974), 384--463.
- [Q]
- F. Quinn, Resolution of homology manifolds, Invent. Math. \textbf{72} (1983), 267--284.
- [Su1]
- D. Sullivan, Triangulating homotopy equivalences, Princeton Ph.D. thesis, 1966.
- [Wa]
- C. T. C. Wall, Surgery on compact manifolds, Academic Press, New York, 1971.
- [Wei]
- S. Weinberger, Aspects of the Novikov conjecture in geometric invariants of elliptic operators, Contemp. Math. \textbf{105} (1990), 281--297.
- [WY]
- S. Weinberger and M. Yan, Products in stratified surgery and periodicity, preprint.
- [YO]
- T. Yoshida, Surgery obstructions of twisted products, J. Math. Okayama Univ. \textbf{24} (1982), 73--97.
Additional Information:
Reviewer(s):
Mel
Rothenberg
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
375-382.
DOI:
10.1090/S0273-0979-1993-00368-9
PII:
S 0273-0979(1993)00368-9
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