Topics In Soliton Theory Nhms167 Book

	Preface
Ch. 1	KdV and KP, Analytic Methods
1	Inverse scattering	1
2	KdV on the line	12
3	Problems in mechanics and Hill's equation	21
4	On the geometry of KdV	33
5	Finite zone potentials	50
6	Hamiltonian theory for KdV	58
7	Determinant methods for KdV and KP; tau functions	70
Ch. 2	Systems and Algebraic Methods
8	Orbits of the vacuum	99
9	AKNS systems	109
10	Some Lie theoretic methods	138
11	The Hirota bilinear identity	152
12	Algebraic curves and KP	165
13	Introductory Sato theory	182
Ch. 3	Physics
14	Holonomic quantum fields	205
15	Ising model and Bose gas	227
16	Some remarks on 2-D quantum gravity and KdV	249
17	Conformal field theory	255
18	More on conformal field theory and tau functions	267
19	More on Kricever data, Grassmannians, curves, etc.	283
20	Remarks on Strings	295
21	More on strings, Riemann surfaces, and tau functions	311
22	Remarks on tau functions, Cauchy-Riemann operators, and determinant bundles	326
23	Quantum inverse scattering	332
	Appendix A. Differential Geometry and Elementary Hamiltonian Theory	341
	Appendix B. Riemann Surfaces and Algebraic Curves	369
	References	397
	Index	421