Tyurin (Steklov Institute of Mathematical Sciences, Moscow) describes numerous aspects of the theory of non-abelian theta functions and the moduli spaces of vector bundles, including their applications to problems of quantization, and classical and quantum conformal field theories. The monograph provides a reference for specialists in algebraic geometry and quantum field theory. Topics include quantization procedure, algebraic curves equal Riemann surfaces, symplectic geometry of moduli spaces of vector bundles, and three-valent graphs. Tyurin, a well-known expert in classical algebraic geometry, died in 2002. Annotation (c) Book News, Inc., Portland, OR (booknews.com)
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