Outputs (56)

Integrable systems: twistors, loop groups, and Riemann surfaces. (1999)
Book
Hitchin, N., Segal, G., & Ward, R. (1999). Integrable systems: twistors, loop groups, and Riemann surfaces. Oxford University Press

This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors. The book has its origins in a series of lecture courses given by the authors, all of whom are int... Read More about Integrable systems: twistors, loop groups, and Riemann surfaces..

(2 + 1)-Dimensional Models with a Chern-Simons-Like Term and Noncommutative Geometry (1999)
Journal Article
Zakrzewski, W., Lukierski, J., & Stichel, P. (1999). (2 + 1)-Dimensional Models with a Chern-Simons-Like Term and Noncommutative Geometry. Reports on Mathematical Physics, 43(1-2), 215-229. https://doi.org/10.1016/s0034-4877%2899%2980029-9

Lax pairs for integrable lattice systems (1999)
Journal Article
Ward, R. (1999). Lax pairs for integrable lattice systems. Journal of Mathematical Physics, 40(1), 299-308. https://doi.org/10.1063/1.532772

This paper studies the structure of Lax pairs associated with integrable lattice systems (where space is a one-dimensional lattice, and time is continuous). It describes a procedure for generating examples of such systems, and emphasizes the features... Read More about Lax pairs for integrable lattice systems.

Quantum corrections to the classical reflection factor in a2(1) Toda field theory. (1999)
Journal Article
Perkins, M., Bowcock, P., & Perkins, M. (1999). Quantum corrections to the classical reflection factor in a2(1) Toda field theory. Nuclear Physics B, 538(3), 612-630. https://doi.org/10.1016/s0550-3213%2898%2900707-x

The O(β2) quantum correction to the classical reflection factor is calculated for one of the integrable boundary conditions of a2(1) affine Toda field theory. This is found to agree with the conjectured exact reflection factor of the quantum theory.... Read More about Quantum corrections to the classical reflection factor in a2(1) Toda field theory..

Tame and wild kernels of quadratic imaginary number fields (1999)
Journal Article
Browkin, J., & Gangl, H. (1999). Tame and wild kernels of quadratic imaginary number fields. Mathematics of Computation, 68(225), 291-305. https://doi.org/10.1090/s0025-5718-99-01000-5

For all quadratic imaginary number fields F of discriminant d > -5000, we give the conjectural value of the order of Milnor's group (the tame kernel) K2OF, where OF is the ring of integers of F. Assuming that the order is correct, we determine the st... Read More about Tame and wild kernels of quadratic imaginary number fields.

Heights of Polynomials and Entropy in Algebraic Dynamics (1999)
Book
Everest, G., & Ward, T. (1999). Heights of Polynomials and Entropy in Algebraic Dynamics. Springer Verlag

The main theme of the book is the theory of heights as they appear in various guises. This includes a large body of results on Mahler's measure of the height of a polynomial of which topic there is no book available. The genesis of the measure in a p... Read More about Heights of Polynomials and Entropy in Algebraic Dynamics.