Classic Reviews in Mathematics & Mathematical Physics

1 total work

Topological and Algebraic Methods in Contemporary Mathematical Physics

by B. A. Dubrovin, I. S. Novikov, and Igor Krichever

Published August 2003

This volume is a classic survey of algebraic geometry and topological methods in various problems of mathematical physics and provides an excellent reference text for graduate students and researchers. The book is divided into three sections: the first part concerns Hamiltonian formalism and methods that generalise Morse for certain dynamical systems of physical origin; the second part presents algebraic geometry analysis of the Yang-Baxter equations for two dimensional models; part three presents the theory of multidimensional theta functions of Abel, Riemann, Poincare in a form that is elementary and convenient for applications.