Michael Atiyah Collected works

'Now a single book suffices to provide not only some of the standard references and proofs, but also a variety of informal survey articles which set the whole area in context ... an essential reference.'N.J. Hitchin, Zentralblatt für Mathematik und ihre Grenzgebiete/Mathematics Abstracts

• 94. Deformations of instantons. ; 95. Instantons and algebraic geometry. ; 96. Construction of instantons. ; 97. Self-duality in four-dimensional Riemannian geometry. ; 98. Geometrical aspects of gauge theories. ; 99. Geometry of Yang-Mills fields. ; 100. Real and complex geometry in four dimensions. ; 101. Green's functions for self-dual four-manifolds. ; 102. Topological aspects of Yang-Mills fields. ; 103. Remarks on Morse theory. ; 104. Yang-Mills and bundles over algebraic curves. ; 105. The Yang-Mills equations over Riemann surfaces. ; 106. Convexity and commuting Hamiltonians. ; 107. Angular momentum, convex polyhedra and algebraic geometry. ; 108. Convexity and loop groups. ; 109. The moment map and equivariant cohomology. ; 110. The moment map in symplectic geometry. ; 111. Gauge theory and algebraic geometry. ; 112. The Yang-Mills equations and the structure of 4-manifolds. ; 113. Geometry of monopoles. ; 114. Solutions of classical equations in gauge theories: fundamental interactions and rigorous results. ; 115. Low-energy scattering of non-abelian monopoles. ; 116. Low-energy scattering of Non-Abelian magnetic monopoles. ; 117. Instantons in two and four dimensions. ; 118. Magnetic monopoles in hyperbolic space. ; 119. Anomalies and index theory. ; 120. Dirac operators coupled to vector potentials. ; 121. Topological aspects of anomalies. ; 122. Commentary on Manin's manuscript New dimensions in geometry. ; 123. Eigenvalues of the Dirac operator. ; 124. Circular symmetry and stationary-phase approximation.