Article:Dg-ga/9711004/unidentified-references
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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.