Topological and Algebraic Geometry Methods in Contemporary Mathematical Physics
B. A. Dubrovin, International School For Advanced Studies, Trieste, Italy, I. M. Krichever & S. P. Novikov
A classic survey of algebraic geometry and topological methods in various problems of mathematical physics and provides an excellent reference text for for graduate students and researchers.
2004 Hbk ISBN: 1-904868-30-4 200pp
Part one concerns Hamiltonian formalism and methods that generalise Morse for certain dynamical systems of physical origin.
Part two 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 elementally and convenient for applications.
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