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Available in print format 		Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): T. Petrie and J. Randall
Title: Connections, definite forms and four-manifolds
Additional book information: Clarendon Press, Oxford, 1990, 130 pp. , US$45.00. ISBN 0-19-853599-6

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-, Irrationality and the h-cobordism conjecture, J. Differential Geom. 26 (1987), 141-168. MR 892034 (88j:57035)

[D3]
-, Polynomial invariants for smooth four-manifolds, Topology 29 (1990), 257-315. MR 1066174 (92a:57035)

[DK]
S. K. Donaldson and P. B. Kronheimer, The geometry of four-manifolds, Oxford Math. Monographs, Oxford Univ. Press, 1990. MR 1079726 (92a:57036)

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R. Fintushel and R. J. Stern, $ SO(3)$-connections and the topology of 4-manifolds, J. Differential Geom. 30 (1984), 523-539. MR 788294 (86k:57014)

[FS2]
-, Pseudofree orbifolds, Ann. of Math. (2) 122 (1985), 335-364. MR 808222 (87a:57027)

[FU]
D. S. Freed and K. K. Uhlenbeck, Instantons and four-manifolds, Math. Sci. Res. Inst. Publ., vol. 1, Springer-Verlag, Berlin, Heidelberg, and New York, 1984. MR 757358 (86c:57031)

[F]
M. H. Freedman, The topology of 4-dimensional manifolds, J. Differential Geom. 17 (1982), 357-453. MR 679066 (84b:57006)

[FQ]
M. Freedman and F. Quinn, Topology of 4-manifolds, Princeton Math. Ser., vol. 39, Princeton Univ. Press, Princeton, NJ, 1990. MR 1201584 (94b:57021)

[FM1]
R. Friedman and J. Morgan, On the diffeomorphism types of certain algebraic surfaces, I and II, J. Differential Geom. 27 (1988), 297-398. MR 925124 (89d:57046)

[FM2]
-, Smooth 4-manifolds and complex surfaces, Ergeb. Math. Grenzgeb. (3), Springer-Verlag, Berlin, Heidelberg, and New York (to appear).

[Fu]
M. Furuta, Homology cobordism group of homology 3-spheres, Ann. of Math. (2) 100 (1990), 339-355. MR 1047138 (91c:57039)

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R. Gompf, An infinite set of exotic $ {\mathbb{R}^4}$'s, J. Differential Geom. 21 (1985), 283-300. MR 816673 (87h:57030)

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H. B. Lawson, Jr., The theory of gauge fields in four dimensions, CBMS Regional Conference Series in Math., no. 58, Amer. Math. Soc., Providence, RI, 1985. MR 799712 (87d:58044)

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J. W. Milnor, Lectures on the h-cobordism theorem, Princeton Univ. Press, Princeton, NJ, 1965. MR 0190942 (32:8352)

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C. H. Taubes, Self-dual Yang-Mills connections over non-self-dual 4-manifolds, J. Differential Geom. 17 (1982), 139-170. MR 658473 (83i:53055)

[T2]
-, Gauge theory on asymptotically periodic 4-manifolds, J. Differential Geom. 25 (1986), 363-430. MR 882829 (88g:58176)

[W]
C. T. C. Wall, Surgery on compact manifolds, Academic Press, New York, 1970. MR 0431216 (55:4217)

Additional Information:

Reviewer(s):
Robert E. Gompf

Review Information:
Journal: Bull. Amer. Math. Soc. 27 (1992), 179-183.
DOI: 10.1090/S0273-0979-1992-00291-4
PII: S 0273-0979(1992)00291-4




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