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Advanced Series in Mathematical Physics - Vol. 1

MATHEMATICAL ASPECTS OF STRING THEORY
Proceedings of the Conference on Mathematical Aspects of String Theory
California, USA August 1986

edited by S-T Yau (Harvard)


Contents:

  • Introduction to Quantum Field Theory, Path Integrals and String (B Hatfield)
  • From Polyakov to Moduli (J Polchinski)
  • Geometry of Quantum Strings (E D'Hoker & D H Phong)
  • BRST Quantization and BRST Cohomology (N Marcus & A Sagnotti)
  • Analytic Structure of Two-Dimensional Quantum Field Theories (P Nelson)
  • Geometrical Meaning of Currents in String Theory (O Alvarez & P Windey)
  • String Field Theory and the Geometry of Moduli Space (S Giddings)
  • String Theory Without a Background Spacetime Geometry (G Horowitz)
  • Holomorphic Curves on Manifolds of SU(3) Holonomy (E Witten)
  • Vertex Operator Calculus (I Frenkel et al.)
  • On Determinant Line Bundles (D Freed)
  • h-Invariant and the Index (I Singer)
  • Action Principles and Global Geometry (G Zuckerman)
  • Introduction to Moduli Space of Curves (J Harris)
  • Moduli Space of Punctured Surfaces (R Penner)
  • Geometric Complex Coordinates for Teichmüller Space (A Marden)
  • Asymptotics of the Selberg Zeta Function and the Polyakov Bosonic Integrand (S Wolpert)
  • Super Riemann Surfaces (J Rabin)
  • Divisors on Mg and the Cosmological Constant (M Chang & Z Ran)
  • Severi Problem: A Post-Mortem (?) (Z Ran)
  • Slope of Subvarieties of M15 (6 2/3 £ S15 £ 6 3/4 ) (M Chang & Z Ran)
  • Arithmetic Intersections (G Faltings)
  • Deformation Theory for Cohomology of Analytic Vector Bundles on Kähler Manifolds (M Green & R Lazarsfeld)
  • Topology and Geometry in Superstring-Inspired Phenomenology (B Greene et al.)
  • Yukawa Couplings between (2, 1)-Forms (P Candelas)
  • Three-Dimensional Algebraic Maniforlds with C1=0 and x=-6 (G Tian & S T Yau)
  • Hermitian-Yang-Mills Connection on Non-Kähler Manifolds (J Li & S T Yau)
  • Existence of Kähler-Einstein Metrics on Complete Kähler Manifolds (G Tian & S T Yau)
  • Smoothness of the Universal Deformation Space of Compact Calabi-Yau Manifolds and its Peterson-Weil Metric (G Tian)
  • Critical Phenomena (S Shenker)


Readership: Mathematical and high energy physicists.

664pp Pub. date: Sept 1987
ISBN 9971-50-273-9 US$124 / £86


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 4 July 2008