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R.~Abraham, J.~E. Marsden, and T.~Ratiu, {\em Manifolds, tensor analysis, and applications}, second ed., Springer, New York, 1988.

R.~A. Adams, {\em Sobolev spaces}, Academic Press, Orlando, FL, 1975.

I.~Chavel, {\em Eigenvalues in {R}iemannian geometry}, Academic Press, New York, 1984.

S.~K. Donaldson, {\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 four-manifolds}, Topology {\bf 29} (1990), 257--315.

S.~K. Donaldson and P.~B. Kronheimer, {\em The geometry of four-manifolds}, Oxford Univ. Press, Oxford, 1990.

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

\bysame, {\em Geometry of the ends of the moduli space of anti-self-dual connections}, J. Differential Geom. {\bf 42} (1995), 465--553.

P.~M.~N. Feehan and T.~G. Leness, {\em Homotopy equivalence and {D}onaldson invariants when {$b^+=1$}. {II}: {S}urjectivity of gluing maps}, in preparation.

\bysame, {\em Homotopy equivalence and {D}onaldson invariants when {$b^+=1$}. {III}: {B}ubble-tree compactifications and manifolds-with-corners structures}, in preparation.

\bysame, {\em Homotopy equivalence and {D}onaldson invariants when {$b^+=1$}. {IV}. {I}ntersection theory}, in preparation.

\bysame, {\em {PU(2)} monopoles. {III}: {E}xistence and continuity of gluing and obstruction maps}, in preparation.

\bysame, {\em {PU(2)} monopoles. {IV}: {S}urjectivity of gluing maps}, in preparation.

R.~Fintushel and R.~Stern, {\em {SO(3)}-connections and the topology of 4-manifolds}, J. Differential Geom. {\bf 20} (1984), 523--539.

D.~Freed and K.~K. Uhlenbeck, {\em Instantons and four-manifolds}, second ed., Springer, New York, 1991.

R.~Friedman and J.~W. Morgan, {\em Smooth four-manifolds and complex surfaces}, Springer, Berlin, 1994.

D.~Groisser and T.~H. Parker, {\em The geometry of the {Y}ang-{M}ills moduli space for definite manifolds}, J. Differential Geom. {\bf 29} (1989), 499--544.

L.~H{\"o}rmander, {\em The analysis of linear partial differential operators}, vol. {I-IV}, Springer, New York, 1983.

S.~Kobayashi, {\em Differential geometry of complex vector bundles}, Princeton Univ. Press, Princeton, NJ, 1987.

D.~Kotschick, {\em {SO(3)} invariants for four-manifolds with {$b^+=1$}}, Proc. London Math. Soc. {\bf 63} (1991), 426--448.

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 {D}onaldson's polynomial invariants}, J. Differential Geom. {\bf 43} (1995), 573--734.

W-P. Li and Z.~Qin, {\em Low-degree {D}onaldson polynomial invariants of rational surfaces}, J. Alg. Geom. {\bf 2} (1993), 413--444.

K.C. Mong, {\em On some possible formulation of differential invariants for 4-manifolds}, J. Reine Angew. Math. {\bf 419} (1991), 67--78.

J.~W. Morgan, private communication.

\bysame, {\em Gauge theory and the topology of smooth four-manifolds}, Harvard University lecture notes, 1988.

J.~W. Morgan and T.~S. Mrowka, {\em The gluing construction for anti-self-dual connections over manifolds with long tubes}, in preparation.

\bysame, {\em A note on {D}onaldson's polynomial invariants}, Internat. Math. Res. Notes {\bf 10} (1992), 223--230.

J.~W. Morgan, Z.~Szab{\'o}, and C.~H. Taubes, {\em A product formula for the {S}eiberg-{W}itten invariants and the generalized {T}hom conjecture}, J. Differential Geom. {\bf 44} (1996), 706--788.

T.~S. Mrowka, {\em Local {M}ayer-{V}ietoris principle for {Y}ang-{M}ills moduli spaces}, {Ph.D}. thesis, Harvard University, Cambridge, MA, 1988.

C.~H. Taubes, {\em Floer theory for twisted circle bundles}, Internat. Press, Cambridge, MA, to appear, {H}arvard {U}niversity preprint, {O}ctober, 1994.

\bysame, {\em Self-dual {Y}ang-{M}ills connections on non-self-dual 4-manifolds}, J. Differential Geom. {\bf 17} (1982), 139--170.

\bysame, {\em Path-connected {Y}ang-{M}ills moduli spaces}, J. Differential Geometry {\bf 19} (1984), 337--392.

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

\bysame, {\em A framework for {M}orse theory for the {Y}ang-{M}ills 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.

G.~Taylor, {\em Taubes' gluing map in the zero-scale limit}.

A.~N. Tyurin, {\em Spin-polynomial invariants of smooth structures on algebraic surfaces}, Russian Acad. Sci. Izv. Math. {\bf 42} (1994), 333--369.

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

\bysame, {\em Removable singularities in {Y}ang-{M}ills fields}, Comm. Math. Phys. {\bf 83} (1982), 11--29.

\bysame, {\em The {C}hern classes of {S}obolev connections}, Comm. Math. Phys. {\bf 101} (1985), 449--457.

H-J. Yang, {\em Transition functions and a blow-up formula for {D}onaldson polynomials}, {Ph.D}. thesis, Columbia University, 1992.

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Article:Math.DG/9812060/unidentified-references - Revision history

ScottBiblioRobot at 09:42, 17 September 2006