Franklin

Mirror symmetry and algebraic geometry / David A. Cox, Sheldon Katz.

Author/Creator:
Cox, David A., author.
Publication:
Providence, Rhode Island : American Mathematical Society, [1999]
Series:
Mathematical surveys and monographs ; no. 68.
Mathematical surveys and monographs, 0076-5376 ; volume 68
Format/Description:
Book
1 online resource (495 p.)
Subjects:
Mirror symmetry.
Geometry, Algebraic.
Mathematical physics.
Form/Genre:
Electronic books.
Contents:
""Contents""; ""Preface""; ""Goal of the Book""; ""Relation to Physics""; ""How to Read the Book""; ""Acknowledgements""; ""Our Hope""; ""Notation""; ""Chapter 1. Introduction""; ""1.1. The Physics of Mirror Symmetry""; ""1.2. Three-Point Functions""; ""1.3. Why Calabi-Yau Manifolds?""; ""1.4. The Mathematics of Mirror Symmetry""; ""1.5. What's Next?""; ""Chapter 2. The Quintic Threefold""; ""2.1. The A-Model Correlation Function of the Quintic Threefold""; ""2.2. The Quintic Mirror""; ""2.3. The Mirror Map""; ""2.4. The B-Model Correlation Function""; ""2.5. Putting It All Together""
""8.2. Big Quantum Cohomology""""8.3. Computing Gromov-Witten Invariants, II""; ""8.4. Dubrovin Formalism""; ""8.5. The A-Variation of Hodge Structure""; ""8.6. The Mirror Conjecture""; ""Chapter 9. Localization""; ""9.1. The Localization Theorem""; ""9.2. Localization in M[sub(0,n)](P[sup(r)],d)""; ""9.3. Equivariant Gromov-Witten Invariants""; ""Chapter 10. Quantum Differential Equations""; ""10.1. Gravitational Correlators""; ""10.2. The Givental Connection""; ""10.3. Relations in Quantum Cohomology""; ""Chapter 11. The Mirror Theorem""
""11.1. The Mirror Theorem for the Quintic Threefold""""11.2. Givental's Approach""; ""Chapter 12. Conclusion""; ""12.1. Reflections and Open Problems""; ""12.2. Other Aspects of Mirror Symmetry""; ""Appendix A. Singular Varieties""; ""A.1. Canonical and Terminal Singularities""; ""A.2. Orbifolds""; ""A.3. Differential Forms on Orbifolds""; ""A.4. The Tangent Sheaf of an Orbifold""; ""A.5. Symplectic Orbifolds""; ""Appendix B. Physical Theories""; ""B.1. General Field Theories""; ""B.2. Nonlinear Sigma Models""; ""B.3. Conformal Field Theories""; ""B.4. Landau-Ginzburg Models""
""B.5. Gauged Linear Sigma Models""
Notes:
Description based upon print version of record.
Includes bibliographical references (pages 437-451) and index.
Description based on print version record.
Contributor:
Katz, Sheldon, 1956- author.
ISBN:
1-4704-1295-0
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