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This is a collection of papers on a variety of topics of current interest in mathematical physics: integrable systems, quantum groups, topological quantum theory, string theory. Some of the contributions are lengthy reviews of lasting value on subjects like symplectic geometry of the Chern-Simons theory or on mirror symmetry. The book addresses graduate students as well as researchers in mathematical physics.


This is a collection of papers on a variety of topics of current interest in mathematical physics: integrable systems, quantum groups, topological quantum theory, string theory. Some of the contributions are lengthy reviews of lasting value on subjects like symplectic geometry of the Chern-Simons theory or on mirror symmetry. The book addresses graduate students as well as researchers in mathematical physics.
Content:
Front Matter....Pages -
The new results on lattice deformation of current algebra....Pages 1-10
Baxterization, dynamical systems, and the symmetries of integrability....Pages 11-35
A lecture on the Calogero-Sutherland models....Pages 36-48
Quantum group and magnetic translations. Bethe-Ansatz solution for bloch electrons in a magnetic field....Pages 49-58
Symplectic geometry of the Chern-Simons theory....Pages 59-97
Quantization of field theories generalizing Gravity-Yang-Mills systems on the cylinder....Pages 98-122
Wodzicki residue and anomalies of current algebras....Pages 123-135
Spacetime locality of the antifield formalism: General theorems illustrated by means of examples....Pages 136-147
On supersymmetric and topological quantum mechanical models....Pages 148-171
Structures of K.Saito theory of primitive form in topological theories coupled to topological gravity....Pages 172-193
String theory and classical integrable systems....Pages 194-220
On background independence in string theory....Pages 221-234
Lectures on mirror symmetry....Pages 235-280
Back Matter....Pages -


This is a collection of papers on a variety of topics of current interest in mathematical physics: integrable systems, quantum groups, topological quantum theory, string theory. Some of the contributions are lengthy reviews of lasting value on subjects like symplectic geometry of the Chern-Simons theory or on mirror symmetry. The book addresses graduate students as well as researchers in mathematical physics.
Content:
Front Matter....Pages -
The new results on lattice deformation of current algebra....Pages 1-10
Baxterization, dynamical systems, and the symmetries of integrability....Pages 11-35
A lecture on the Calogero-Sutherland models....Pages 36-48
Quantum group and magnetic translations. Bethe-Ansatz solution for bloch electrons in a magnetic field....Pages 49-58
Symplectic geometry of the Chern-Simons theory....Pages 59-97
Quantization of field theories generalizing Gravity-Yang-Mills systems on the cylinder....Pages 98-122
Wodzicki residue and anomalies of current algebras....Pages 123-135
Spacetime locality of the antifield formalism: General theorems illustrated by means of examples....Pages 136-147
On supersymmetric and topological quantum mechanical models....Pages 148-171
Structures of K.Saito theory of primitive form in topological theories coupled to topological gravity....Pages 172-193
String theory and classical integrable systems....Pages 194-220
On background independence in string theory....Pages 221-234
Lectures on mirror symmetry....Pages 235-280
Back Matter....Pages -
....
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