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Strings and Geometry
Edited by: Michael Douglas, Rutgers University, Piscataway, NJ, Jerome Gauntlett, University of London, England, and Mark Gross, University of California San Diego, La Jolla, CA
A co-publication of the AMS and Clay Mathematics Institute.
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Clay Mathematics Proceedings
2004; 376 pp; softcover
Volume: 3
ISBN-10: 0-8218-3715-X
ISBN-13: 978-0-8218-3715-3
List Price: US$76
Member Price: US$60.80
Order Code: CMIP/3
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This volume is the proceedings of the 2002 Clay Mathematics Institute School on Geometry and String Theory. This month-long program was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, England, and was organized by both mathematicians and physicists: A. Corti, R. Dijkgraaf, M. Douglas, J. Gauntlett, M. Gross, C. Hull, A. Jaffe and M. Reid. The early part of the school had many lectures that introduced various concepts of algebraic geometry and string theory with a focus on improving communication between these two fields. During the latter part of the program there were also a number of research level talks.

This volume contains a selection of expository and research articles by lecturers at the school and highlights some of the current interests of researchers working at the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform.

The book is suitable for graduate students and research mathematicians interested in relations between mathematical physics and algebraic geometry.

Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

Readership

Graduate students and research mathematicians interested in relations between mathematical physics and algebraic geometry.

Table of Contents

  • M. R. Douglas -- The geometry of string theory
  • B. S. Acharya -- \(M\) theory, \(G_2\)-manifolds and four dimensional physics
  • S. K. Donaldson -- Conjectures in Kähler geometry
  • J. P. Gauntlett -- Branes, calibrations and supergravity
  • S. Gukov -- M-theory on manifolds with exceptional holonomy
  • N. Hitchin -- Special holonomy and beyond
  • D. Joyce -- Constructing compact manifolds with exceptional holonomy
  • A. Kovalev -- From Fano threefolds to compact \(G_2\)-manifolds
  • A. Craw -- An introduction to motivic integration
  • A. Ishii -- Representation moduli of the McKay quiver for finite Abelian subgroups of \(SL(3,\mathbb{C})\)
  • F. Kirwan -- Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited
  • C. Madonna and V. V. Nikulin -- On a classical correspondence between K3 surfaces II
  • B. Szendrői -- Contractions and monodromy in homological mirror symmetry
  • N. Dorey -- Lectures on supersymmetric gauge theory
  • A. Kapustin -- The geometry of A-branes
  • R. C. Myers -- Low energy D-brane actions
  • List of Participants
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