Mirror Symmetry and Algebraic Geometry by David A Cox
Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book is the first completely comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made to date. Subjects discussed include toric varieties, Hodge theory, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem. This title features: numerous examples worked out in detail; an appendix on mathematical physics; an exposition of the algebraic theory of Gromov-Witten invariants and quantum cohomology; and, a proof of the mirror theorem for the quintic threefold.-
Quantum Field Theory
-
Chevalley-Warning, Beyond and Beneath
-
Non-Abelian Monopoles and Four-Manifold Topology
-
Quantum Topology Via Modified Traces
-
Abelian Varieties
-
Combinatorial Factorization Theory
-
Discrete Convex Analysis
-
The Cremona Group and Its Subgroups
-
Fokker-Planck-Kolmogorov Equations
-
Grid Homology for Knots and Links
-
The Classification of the Finite Simple Groups, Number 6
-
The Classification of the Finite Simple Groups, Number 7
-
Braid and Knot Theory in Dimension Four
-
Residuated Structures in Algebra and Logic
-
Attractors for Degenerate Parabolic Type Equations
-
Advanced Analytic Number Theory: L-functions
- Geometric Function Theory in the Unit Ball of $\mathbb{C}^n$
-
Cohen-Macaulay Representations
-
The Convenient Setting of Global Analysis
-
Noncommutative Multivariable Operator Theory
-
Singular Time-Homogeneous Ito Equations and PDEs
-
Locally Solid Riesz Spaces with Applications to Economics
-
Control and Nonlinearity
-
Mixed Motives
-
Ergodic Theory Via Joinings
-
Ricci Solitons in Dimensions $4$ and Higher
-
Vertex Algebras and Algebraic Curves
-
Surgery on Compact Manifolds
-
Univalent Functions in Quantum Probability Theory
-
Perfectoid Spaces
-
The Ricci Flow: Techniques and Applications
-
Parabolic Geometries I
-
Trees of Hyperbolic Spaces
-
Foundations of Arithmetic Differential Geometry
-
Algebraic Geometry for Scientists and Engineers
-
Operators, Functions, and Systems
-
Geometric Analysis on Symmetric Spaces
-
Self-Similar Groups
-
Knotted Surfaces and Their Diagrams
-
Alice and Bob Meet Banach
-
Weak Convergence of Measures
-
Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups
-
Iwasawa Theory and Its Perspective, Volume 1
-
Discrete-Time Dynamics of Structured Populations and Homogeneous Order-Preserving Operators
David A. Cox, Amherst College, MA
| SKU | Unavailable |
| ISBN 13 | 9780821821275 |
| ISBN 10 | 082182127X |
| Title | Mirror Symmetry and Algebraic Geometry |
| Author | David A Cox |
| Series | Mathematical Surveys And Monographs |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 1999-03-30 |
| Number of pages | 469 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |