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Mirror Symmetry IV
About this Title
Eric D’Hoker, University of California, Los Angeles, Los Angeles, CA, Duong Phong, Columbia University, New York, NY and Shing-Tung Yau, Harvard University, Cambridge, MA, Editors
Publication: AMS/IP Studies in Advanced Mathematics
Publication Year:
2002; Volume 33
ISBNs: 978-0-8218-3335-3 (print); 978-1-4704-3822-7 (online)
DOI: https://doi.org/10.1090/amsip/033
MathSciNet review: MR1968213
MSC: Primary 00B25; Secondary 14-06, 81-06
ReadershipTable of Contents
Front/Back Matter
Calabi-Yau Manifolds, Mirror Symmetry, and Symplectic Geometry
- A survey of mirror principle
- Mirror symmetry: aspects of the first 10 years
- Lagrangian torus fibrations of Calabi-Yau hypersurfaces in toric varieties and SYZ mirror symmetry conjecture
- Moduli space of stable maps
- Cohomological properties of ruled symplectic structures
Supersymmetric gauge theories and integrable models
- Spectral Lax pairs and Calogero-Moser systems
- M-theory tested by ${\mathcal {N}}=2$ Seiberg-Witten theory
- Seiberg-Witten curves for elliptic models
- The periodic and open Toda lattice
- Exact integration methods for supersymmetric Yang-Mills theory
M-theory, D-branes, and non-commutative geometry
- Nonabelian D-branes and noncommutative geometry
- Evidence for winding states in noncommutative quantum field theory
- The discrete bound state spectrum of the rotating D0-brane system, and its decay by emission of Ramond-Ramond field radiation
- On the correspondence between D-branes and stationary supergravity solutions of type II Calabi-Yau compactifications
- Phase-transitions and tensor dynamics in $M$-theory
- Duality, Eisenstein series and exact thresholds
Strings, gauge theories, and AdS/CFT correspondence
- Connectedness of the boundary in the AdS/CFT correspondence
- A note on the topology of the boundary in the AdS/CFT correspondence
- Holographic duals of 4D field theories
- Black hole thermodynamics from calculations in strongly-coupled gauge theory
- Correlation functions for orbifolds of the type $M^N/S^N$
Elliptic genera and automorphic forms