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 R. A. Adams, {\em Sobolev Spaces\/}, Academic Press, Orlando, FL, 1975.   

  M. F. Atiyah, N. J. Hitchin, and I. M. Singer, {\em Self-duality in four-dimensional Riemannian geometry\/}, Proc. Royal Soc. London {\bf A 362} (1978) 425--461.  

 T. Aubin, {\em Nonlinear Analysis on Complex Manifolds. Monge-Amp\`ere Equations\/}, Springer, New York, 1982.  

 S. B. Bradlow, {\em Special metrics and stability for holomorphic bundles with global sections\/}, J. Differential Geom. {\bf 33} (1991) 169--213.  

 S. B. Bradlow and G. D. Daskalopoulos, {\em Moduli of stable pairs for holomorphic bundles over Riemann surfaces\/}, Internat. J. Math. {\bf 2} (1991) 477--513.  

 G. Daskalopoulos, private communication.  

 S. K. Donaldson, {\em A new proof of a theorem of Narasimhan and Seshadri\/},  J. Differential Geom. {\bf 18} (1983) 269--277.  

  \bysame, {\em Anti-self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles\/}, Proc. London Math. Soc. {\bf 50} (1985) 1--26.  

  \bysame, {\em Connections, cohomology and the intersection forms of four-manifolds\/}, J. Differential Geom. {\bf 24} (1986) 275--341.  

 \bysame, {\em Irrationality and the $h$-cobordism conjecture\/}, J. Differential Geom. {\bf 26} (1987), 141--168.  

  \bysame, {\em Polynomial invariants for smooth 4-manifolds}, Topology {\bf 29}, 257-315 (1990).  

 \bysame, {\em The approximation of instantons\/}, Geom. Funct. Anal. {\bf 3} (1993) 179--200.  

 \bysame, {\em The Seiberg-Witten equations and four-manifold topology\/}, Bull. Amer. Math. Soc. {\bf 33} (1996) 45--70.  

 S. K. Donaldson and P. B. Kronheimer,  {\em The Geometry of Four-Manifolds\/}, Oxford University Press, Oxford, 1990.  

  S. K. Donaldson and D. P. Sullivan, {\em Quasi-conformal four-manifolds\/}, Acta Math. {\bf 163} (1990) 181--252.  




  \bysame, {\em $\PU(2)$ monopoles, III: Existence of gluing and obstruction maps\/}, in preparation.   

  \bysame, {\em $\PU(2)$ monopoles, IV: Surjectivity of gluing maps\/}, in preparation.  

 \bysame, {\em in preparation}.  

 D. Freed and K. K. Uhlenbeck, {\em Instantons and Four-Manifolds\/}, 2nd ed., Springer, New York, 1991.  

  R. Friedman and J. W. Morgan, {\em Smooth Four-manifolds and  Complex Surfaces}, Springer, Berlin, 1994.  

  D. Gilbarg and N. Trudinger, {\em Elliptic Partial Differential Equations of Second Order\/}, 2nd ed., Springer, New York, 1983.  


 D. Kotschick and J. W. Morgan, {\em $\SO(3)$ invariants for four-manifolds with $b^+=1$. II\/}, J. Differential Geom. {\bf 39} (1994) 433--456.  

 P. B. Kronheimer and T. S. Mrowka, {\em Embedded surfaces and the structure of Donaldson's polynomial invariants\/}, J. Differential Geom.  {\bf 43} (1995) 573--734.  

 H. B. Lawson, {\em The Theory of Gauge Fields in Four Dimensions\/}, Conf. Board Math. Sci. {\bf 58}, Amer. Math. Soc., Providence, RI, 1985.  

 J. Li, {\em Algebraic geometric interpretation of Donaldson's polynomial invariants\/}, J. Differential Geom. {\bf 37} (1993) 417--466.   

 H. B. Lawson and M-L. Michelsohn, {\em Spin Geometry\/}, Princeton Univ. Press, Princeton, NJ, 1988.  

 P. K. Mitter and C. M. Viallet, {\em On the bundle of connections and the gauge orbit manifold in Yang-Mills theory\/}, Comm. Math. Phys. {\bf 79} (1981) 457--472.   

 J. W. Morgan, {\em Gauge Theory and the Topology of Smooth Four-Manifolds\/}, Lecture Notes, Harvard University, 1988.   

 \bysame, {\em Comparison of the Donaldson polynomial invariants with their algebro-geometric analogues\/}, Topology {\bf 32} (1993) 449--488.  

 J. W. Morgan and P. S. Ozsv\'ath, private communication.  


 R. S. Palais, {\em Ljusternik-Snirelman theory on Banach manifolds\/}, Topology {\bf 5} (1966) 115--132.  

 \bysame, {\em Foundations of Global Non-Linear Analysis\/}, Benjamin, New York, 1968.  

 \bysame, {\em Critical-point theory and the min-max principle\/}, Proc. Symp. Pure Math. {\bf 15}, Amer. Math. Soc., Providence, RI, 1970.  

 T. H. Parker, {\em Gauge theories on four dimensional Riemannian manifolds\/}, Comm. Math. Phys. {\bf 85} (1982) 563--602.  

 T. H. Parker and C. H. Taubes, {\em On Witten's proof of the positive energy theorem\/}, Comm. Math. Phys. {\bf 84} (1982) 223--238.  

 V. Y. Pidstrigach, Lecture at the Newton Institute, Cambridge, December 1994.  


 I. M. Singer, {\em Some remarks on the Gribov ambiguity\/}, Comm. Math. Phys. {\bf 60} (1978) 7--12.  

  E. Stein, {\em Singular integral operators and differentiability properties of functions\/}, Princeton University Press, Princeton, NJ, 1970.  

 C. H. Taubes, {\em Self-dual Yang-Mills connections on non-self-dual 4-manifolds\/}, J. Differential Geom. {\bf 17} (1982) 139--170.  

 \bysame, {\em Stability in Yang-Mills theories\/}, Comm. Math. Phys. {\bf 91} (1983) 235--263.   

  \bysame, {\em Self-dual connections on 4-manifolds with indefinite intersection matrix\/},  J. Differential Geom. {\bf 19} (1984) 517--560.  

  \bysame, {\em Path-connected Yang-Mills moduli spaces\/}, J. Differential Geom. {\bf 19} (1984) 337--392.  

  \bysame, {\em A framework for Morse theory for the Yang-Mills functional}, Invent. Math. {\bf 94} (1988) 327--402.   

  \bysame, {\em The stable topology of self-dual moduli spaces\/}, J. Differential Geom. {\bf 29} (1989) 162--230.  

  \bysame, {\em The existence of anti-self-dual conformal structures}, J. Differential Geom. {\bf 36} (1992) 163-253.  

  \bysame, {\em Metrics, Connections, and Gluing Theorems\/}, Conf. Board Math. Sci. {\bf 89}, Amer. Math. Soc., Providence, RI, 1996.  


 K. K. Uhlenbeck, {\em Connections with $L^p$ bounds on curvature\/}, Comm. Math. Phys. {\bf 83} (1982) 31--42.  

 E. Witten, {\em Monopoles and four-manifolds}\/, Math. Res. Lett. {\bf 1} (1994) 769--796.