Michael Atiyah Collected works - Volume 5: Gauge Theories

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Inhaltsverzeichnis

• 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.

Produktdetails

• Autoren: Atiyah, Michael Atiyah
• Verlag: Oxford Academic
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 28.04.1988
• EAN: 9780198532798
• ISBN: 978-0-19-853279-8
• Abmessung: 195 mm x 253 mm x 46 mm
• Gewicht: 1477 g
• Illustration: frontispiece
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Grundlagen; Ratgeber; SCIENCE / Physics / General, MATHEMATICS / History & Philosophy, MATHEMATICS / Geometry / General, geometry, Physics, History of mathematics, Mathematical foundations