Book Review
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Book Information:
Authors:
Robert Gompf and
András Stipsicz
Title:
4-manifolds and Kirby calculus
Additional book information:
Amer. Math. Soc.,
Providence, RI, 1999,
xv + 558 pp.,
ISBN 0-8218-0994-6,
$65.00$
[A] S. Akbulut, Scharlemann's manifold is standard, Ann. Math. 149 (2) (1999), 497-510. MR 1689337
[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 1079726
[FQ] M. Freedman and F. Quinn, Topology of 4-manifolds, Princeton Mathematical Series 39 (1990). MR 1201584
[FS] R. Fintushel and R. Stern, Rational blowdowns of smooth 4-manifolds, J. Diff. Geom. 46 (1997), 181-235. MR 1484044
[F] T. Fuller, Diffeomorphism types of genus 2 Lefschetz fibrations, Math. Ann. 311 (1998), 163-176. MR 1624287
[HKK] J. Harer, A. Kas and R. Kirby, Handlebody decompositions of complex surfaces, Memoirs AMS 62 (350) (1986). MR 0849942
[Sch] M. Scharlemann, Constructing strange manifolds with the dodecahedral space, Duke Math. Jour. 43 (1976), 33-40. MR 0402760
[Sma] S. Smale, The generalized Poincaré conjecture in higher dimensions, Bull. Amer. Math. Soc. 66 (1960), 373-375. MR 0124912
- [A]
- S. Akbulut, Scharlemann's manifold is standard, Ann. Math. 149 (2) (1999), 497-510. MR 1689337
- [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 1079726
- [FQ]
- M. Freedman and F. Quinn, Topology of 4-manifolds, Princeton Mathematical Series 39 (1990). MR 1201584
- [FS]
- R. Fintushel and R. Stern, Rational blowdowns of smooth 4-manifolds, J. Diff. Geom. 46 (1997), 181-235. MR 1484044
- [F]
- T. Fuller, Diffeomorphism types of genus 2 Lefschetz fibrations, Math. Ann. 311 (1998), 163-176. MR 1624287
- [HKK]
- J. Harer, A. Kas and R. Kirby, Handlebody decompositions of complex surfaces, Memoirs AMS 62 (350) (1986). MR 0849942
- [Sch]
- M. Scharlemann, Constructing strange manifolds with the dodecahedral space, Duke Math. Jour. 43 (1976), 33-40. MR 0402760
- [Sma]
- S. Smale, The generalized Poincaré conjecture in higher dimensions, Bull. Amer. Math. Soc. 66 (1960), 373-375. MR 0124912
Review Information:
Reviewer:
Dave Auckly
Affiliation:
Kansas State University
Email:
dav@math.ksu.edu
Journal:
Bull. Amer. Math. Soc.
38 (2001), 229-234
Published electronically:
December 27, 2000
Review copyright:
© Copyright 2000
American Mathematical Society
