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Solitons, Instantons, and Twistors (2nd edition)

Author: 
Maciej Dunajski
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  • Provides a self-contained and accessible introduction to integrable systems
  • Includes the three appendices covering basic differential geometry, complex manifold theory, and the exterior differential system

New to this Edition:

  • contains a new chapter on Abelian vortices, with the emphasis on the integrable cases
  • includes a derivation of the master dispersionless integrable system underling the general anti-self-dual conformal structures in four dimensions, as well as a discussion of the non-relativistic limit of twistor theory
  • new examples have been added and errors have been corrected
Index: 

1:Integrability in classical mechanics
2:Soliton equations and the inverse scattering transform
3:Hamiltonian formalism and zero-curvature representation
4:Lie symmetries and reductions
5:Lagrangian formalism and field theory
6:Gauge field theory
7:Integrability of ASDYM and twistor theory
8:Symmetry reductions and the integrable chiral model
9:Vortices
10:Gravitational instantons
11:Anti-self-dual conformal structures

About the author: 

Maciej Dunajski is a Fellow of Clare College, and a Professor of Mathematical Physics at the Department of Applied Mathematics and Theoretical Physics, at the University of Cambridge. His research interests are in differential and projective Geometry, Solitons, and General Theory of Relativity. In 2021 he was awarded the Atiyah Fellowship by the London Mathematical Society. Dunajski is the winner of the 2023 Gravity Research Foundation Award, and the author of Geometry: A Very Short Introduction (OUP 2022).

Product details

ISBN : 9780198872535

Author: 
Maciej Dunajski
Format
Paperback
Pub date
May 2024
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Solitons, Instantons, and Twistors (2nd edition)

Solitons, Instantons, and Twistors (2nd edition)

Solitons, Instantons, and Twistors (2nd edition)