Collected Works, Volume 5: Gauge Theories 0198532792

Table of contents :
Atiyah M. Collected works vol.5. Gauge Theories ......Page 4
Copyright ......Page 5
PREFACE ......Page 6
ACKNOWLEDGEMENTS ......Page 8
CURRICULUM VITAE ......Page 11
CONTENTS ......Page 12
Commentary 1 ......Page 23
94.(with N. J. Hitchin and I. M. Singer) Deformations of Instantons. Proc. Nat. Acad. Sei.,USA 74 (1977), 2662-3. 7......Page 29
95.(with R. S. Ward) Instantons and algebraic geometry. Commun. Math. Phys. 55 (1977), 117-24. 11......Page 33
96.(with N. J. Hitchin, V. G. Drinfeld and Y. I. Manin) Construction of instantons. Phys.Lett. 65A (1978), 185-7. 21......Page 43
97.(with N. J. Hitchin and I. M. Singer) Self-duality in four dimensional Riemannian geometry. Proc. R. Soc. Lond. A 362 (1978), 425—61. 27......Page 49
98.Geometrical aspects of gauge theories. Proc. Int. Congress of Mathematicians, Helsinki (1978), Vol. 2., 881-5. 67......Page 89
99.Geometry of Yang—Mills fields. Lezioni Fermiane, Accademia Nazionale dei Lincei & Scuola Normale Superiore, Pisa (1979). 75......Page 97
100.Real and complex geometry in four dimensions, The Chern Symposium 1979, Berkeley. Springer-Verlag New York Inc. (1980), 1— 10. 175......Page 197
101.Green’s functions for self-dual four-manifolds, Advances in Mathematics Supplementary studies, Vol. 7A (1981), 129-58. 187......Page 209
102.(withJ. D. S. Jones) Topological aspects of Yang—Mills theory. Commun. Math. Phys.61 (1978), 97-118. 219......Page 241
103.Remarks on Morse theory. Recent Developments in Gauge Theories. Plenum Pub. Corp. (1980), 1-5. 243......Page 265
104.(with R. Bott) Yang-Mills and bundles over algebraic curves, Proc. Indian Acad. Sei.(Math. Sei.), 90 (No. 1) (1981), 11-20. 251......Page 273
105.(with R. Bott) The Yang-Mills equations over Riemann surfaces. Phil. Trans. R. Soc.Lond. A 308, (1982), 523-615. 263......Page 285
106.Convexity and commuting Hamiltonians,\tBull. Lond. Math. Soc. 14(1981), 1 — 15.\t359......Page 381
107.Angular Momentum, convex polyhedra and algebraic geometry, Proc. Edin. Math. Soc., 26(1983), 121-38. 377......Page 399
108.(with A. N. Pressley), Convexity and loop groups, Volume dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday, Progress in Mathematics 36 (1983), 33—64.393......Page 415
109.(with R.Bott) The moment map and equivariant cohomology, Topology 23 (No. 1) (1984),1-28. 427......Page 449
110.The moment map in symplectic geometry. Durham Symposium on Global Riemannian Geometry. Ellis Horwood Ltd. (1984), 43-51. 457......Page 479
111.Gauge theory and algebraic geometry. Proc. of Beijing Symposium on differential geometry and partial differential equations. Science Press, China(1982), 1-20. 469......Page 491
112.The Yang—Mills equations and the structure of 4-manifolds. Durham Symposium on Global Riemannian Geometry. Ellis Horwood Ltd. (1984), 11 — 17 . 491......Page 513
113.Geometry of monopoles. Monopoles in quantum field theory. World Scientific Publishing (1982), 3-20. 501......Page 523
114.Solutions of classical equations in gauge theories: Fundamental interactions and rigorous results. Lectures given at the 1981 International Summer School of Theoretical Physics, Poiana Brasov, Romania. Birkhauser (1982), 207—219. 521......Page 543
115.(with N.J. Hitchin) Low energy scattering of non-Abelian monopoles. Phys. Lett. 107A (No. 1) (1985), 21-5.\t537......Page 559
116.(with N .J. Hitchin) Low-energy scattering of non-Abelian magnetic monopoles. Phil.Trans. R. Soc. Lond. 315 (1985), 459-69. 545......Page 567
117.Instantons in two and four dimensions. Commun. Math. Phys. 93 (1984),\t437-51. 559......Page 581
118.Magnetic monopoles in hyperbolic space, in Proc. of Bombay Colloquium 1984on Vector Bundles on Algebraic Varieties, Oxford University Press\t(1987), 1—34. 577......Page 599
119.Anomalies and index theory, Lecture Notes in Physics, Springer-Verlag, 208 (1984),313-22.\t613......Page 635
120.(with I. M. Singer) Dirac operators coupled to vector potentials. Proc. Nat. Acad. ofSci.USA 81 (No. 8) (1984), 2597-600. 625......Page 647
121.Topological aspects of anomalies. Symposium on Anomalies, Geometry, Topology. World Scientific Press (1984), 22—32. 631......Page 653
122. Commentary of Manin’s manuscript ‘New dimensions in geometry’. Lecture notes in mathematics, 1111 (Proc. of 25th Mathematics Arbeitstagung, Bonn 1984), Springer-Verlag (1985), 103-9. 645......Page 667
123.Eigenvalues of the Dirac operator, Lecture notes in mathematics, 1111 (Proc. of 25th Mathematics Arbeitstagung, Bonn 1984), Springer-Verlag (1985), 251-60. 655......Page 679
124.Circular symmetry and stationary-phase approximation, Colloquium in honour of Laurent Schwartz, Vol. 2, Astérisque (1985), 43—60. 667......Page 689
cover......Page 1