Global geometry and mathematical physics : lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 4-12, 1988

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Global geometry and mathematical physics : lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 4-12, 1988

L. Alvarez-Gaumé ... [et al.] ; editors, M. Francaviglia, F. Gherardelli

（Lecture notes in mathematics, 1451 . Fondazione C.I.M.E., Firenze）

Springer-Verlag, c1990

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Includes bibliographical references

Description and Table of Contents

Description

This volume contains the proceedings of a summer school presented by the Centro Internazionale Matematico Estivo, held at Montecatini Terme, Italy, in July 1988. This summer programme was devoted to methods of global differential geometry and algebraic geometry in field theory, with the main emphasis on istantons, vortices and other similar structures in gauge theories; Riemann surfaces and conformal field theories; geometry of supermanifolds and applications to physics. The papers are mainly surveys and tutorials.

Table of Contents

The geometry and topology of moduli spaces.- Topics in conformal field theory and string theory.- Geometrical aspects of the Kadomtsev-Petviashvili equation.- Geometry of standard constraints and anomalous supersymmetric gauge theories.- Hamiltonian formulation of string theory and multiloop amplitudes in the operator context.- Conformal field theory, real weight differentials and KdV equation in higher genus.- Supermoduli and superstrings.

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