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Book Review
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Book Information
Author(s):
Robert Gompf and András Stipsicz
Title:
4-manifolds and Kirby calculus
Additional book information:
Amer. Math. Soc.,
Providence, RI, 1999,
xv + 558,
$65.00,
0-8218-0994-6
References:
-
- [A]
- S. Akbulut, Scharlemann's manifold is standard, Ann. Math. 149 (2) (1999), 497-510. MR 2000d:57033
- [D]
- S. Donaldson, Lefschetz pencils on symplectic manifolds, J. Diff. Geom. (to appear).
- [DK]
- S. Donaldson and P. Kronheimer, Geometry of four-manifolds, Oxford University Press, 1990. MR 92a:57036
- [FQ]
- M. Freedman and F. Quinn, Topology of 4-manifolds, Princeton Mathematical Series 39 (1990). MR 94b:57021
- [FS]
- R. Fintushel and R. Stern, Rational blowdowns of smooth 4-manifolds, J. Diff. Geom. 46 (1997), 181-235. MR 98j:57047
- [F]
- T. Fuller, Diffeomorphism types of genus 2 Lefschetz fibrations, Math. Ann. 311 (1998), 163-176. MR 99f:57035
- [HKK]
- J. Harer, A. Kas and R. Kirby, Handlebody decompositions of complex surfaces, Memoirs AMS 62 (350) (1986). MR 88e:57030
- [Sch]
- M. Scharlemann, Constructing strange manifolds with the dodecahedral space, Duke Math. Jour. 43 (1976), 33-40. MR 53:6574
- [Sma]
- S. Smale, The generalized Poincaré conjecture in higher dimensions, Bull. Amer. Math. Soc. 66 (1960), 373-375. MR 23:A2220
Additional Information:
Reviewer(s):
Dave
Auckly
Affiliation:
Kansas State University
Email:
dav@math.ksu.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
38
(2001),
229-234.
MSC
(2000):
Primary 57R65;
Secondary 57N13, 53Dxx
DOI:
10.1090/S0273-0979-00-00897-1
PII:
S 0273-0979(00)00897-1
Posted:
December 27, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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