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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
References:
- [D1]
- S. K. Donaldson, An application of gauge theory to four dimensional topology, J. Differential Geom. \textbf{18} (1983), 279--315.
- [D2]
- S. K. Donaldson, Irrationality and the $h$-cobordism conjecture, J. Differential Geom. \textbf{26} (1987), 141--168.
- [D3]
- S. K. Donaldson, Polynomial invariants for smooth four-manifolds, Topology \textbf{29} (1990), 257--315.
- [DK]
- S. K. Donaldson and P. B. Kronheimer, The geometry of four-manifolds, Oxford Math. Monographs, Oxford Univ. Press, 1990.
- [FS1]
- R. Fintushel and R. J. Stern, $SO(3)$-connections and the topology of\/ \RM 4-manifolds, J. Differential Geom. \textbf{30} (1984), 523--539.
- [FS2]
- R. Fintushel and R. J. Stern, Pseudofree orbifolds, Ann. of Math. (2) \textbf{122} (1985), 335--364.
- [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.
- [F]
- M. H. Freedman, The topology of\/ \RM 4-dimensional manifolds, J. Differential Geom. \textbf{17} (1982), 357--453.
- [FQ]
- M. Freedman and F. Quinn, Topology of\/ \RM 4-manifolds, Princeton Math. Ser., vol. 39, Princeton Univ. Press, Princeton, NJ, 1990.
- [FM1]
- R. Friedman and J. Morgan, On the diffeomorphism types of certain algebraic surfaces, {\rm I and } {\rm II}, J. Differential Geom. \textbf{27} (1988), 297--398.
- [FM2]
- R. Friedman and J. Morgan, Smooth \RM 4-manifolds and complex surfaces, Ergeb. Math. Grenzgeb. (3), Springer-Verlag, Berlin, Heidelberg, and New York.
- [Fu]
- M. Furuta, Homology cobordism group of homology\/ \RM 3-spheres, Ann. of Math. (2) \textbf{100} (1990), 339--355.
- [G]
- R. Gompf, An infinite set of exotic $\Bbb {R}^4$\<\RM 's, J. Differential Geom. \textbf{21} (1985), 283--300.
- [GM]
- R. Gompf and T. Mrowka, Irreducible four manifolds need not be complex.
- [KS]
- R. Kirby and L. Siebenmann, Foundational Essays on Topological Manifolds, Smoothings and Triangulations, Ann. of Math. Stud. vol. 88, Princeton Univ. Press, Princeton, NJ, 1977.
- [L]
- 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.
- [M]
- J. W. Milnor, Lectures on the $h$-cobordism theorem, Princeton Univ. Press, Princeton, NJ, 1965.
- [T1]
- C. H. Taubes, Self-dual Yang-Mills connections over non-self-dual {\rm 4}-manifolds, J. Differential Geom. \textbf{17} (1982), 139--170.
- [T2]
- C. H. Taubes, Gauge theory on asymptotically periodic\/ \RM 4-manifolds, J. Differential Geom. \textbf{25} (1986), 363--430.
- [W]
- C. T. C. Wall, Surgery on compact manifolds, Academic Press, New York, 1970.
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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