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Book Categories |
Preface | ||
Introduction | ||
Pt. 1 | Mathematical Preliminaries | 1 |
Ch. 1 | Differential Geometry | 3 |
Ch. 2 | Algebraic Geometry | 25 |
Ch. 3 | Differential and Algebraic Topology | 41 |
Ch. 4 | Equivariant Cohomology and Fixed-Point Theorems | 57 |
Ch. 5 | Complex and Kahler Geometry | 67 |
Ch. 6 | Calabi Yan Manifolds and Their Moduli | 77 |
Ch. 7 | Toric Geometry for String Theory | 101 |
Pt. 2 | Physics Preliminaries | 143 |
Ch. 8 | What Is a QFT? | 145 |
Ch. 9 | QFT in d = 0 | 151 |
Ch. 10 | QFT in Dimension 1: Quantum Mechanics | 169 |
Ch. 11 | Free Quantum Field Theories in 1 + 1 Dimensions | 237 |
Ch. 12 | N = (2,2) Supersymmetry | 271 |
Ch. 13 | Non-linear Sigma Models and Landau-Ginzburg Models | 291 |
Ch. 14 | Renormalization Group Flow | 313 |
Ch. 15 | Linear Sigma Models | 339 |
Ch. 16 | Chiral Rings and Topological Field Theory | 397 |
Ch. 17 | Chiral Rings and the Geometry of the Vacuum Bundle | 423 |
Ch. 18 | BPS Solitons N = 2 Landau - Ginzburg Theories | 435 |
Ch. 19 | D-branes | 449 |
Pt. 3 | Mirror Symmetry: Physics Proof | 461 |
Ch. 20 | Proof of Mirror Symmetry | 463 |
Pt. 4 | Mirror Symmetry: Mathematics Proof | 481 |
Ch. 21 | Introduction and Overview | 483 |
Ch. 22 | Complex Curves (Non-singular and Nodal) | 487 |
Ch. 23 | Moduli Spaces of Curves | 493 |
Ch. 24 | Moduli Spaces [actual symbol not reproducible] of Stable Maps | 501 |
Ch. 25 | Cohomology Classes on [actual symbol not reproducible] and [actual symbol not reproducible] | 509 |
Ch. 26 | The Virtual Fundamental Class, Gromov-Witten Invariants, and Descendant Invariants | 519 |
Ch. 27 | Localization on the Moduli Space of Maps | 535 |
Ch. 28 | The Fundamental Solution of the Quantum Differential Equation | 553 |
Ch. 29 | The Mirror Conjecture for Hypersurfaces I: The Fano Case | 559 |
Ch. 30 | The Mirror Conjecture for Hypersurfaces II: The Calabi-Yau Case | 571 |
Pt. 5 | Advanced Topics | 583 |
Ch. 31 | Topological Strings | 585 |
Ch. 32 | Topological Strings and Target Space Physics | 599 |
Ch. 33 | Mathematical Formulation of Gopakumar-Vafa Invariants | 615 |
Ch. 34 | Multiple Covers, Integrality, and Gopakumar - Vafa Invariants | 635 |
Ch. 35 | Mirror Symmetry at Higher Genus | 645 |
Ch. 36 | Some Applications of Mirror Symmetry | 677 |
Ch. 37 | Aspects of Mirror Symmetry and D-branes | 691 |
Ch. 38 | More on the Mathematics of D-branes: Bundles, Derived Categories, and Lagrangians | 729 |
Ch. 39 | Boundary N = 2 Theories | 765 |
Ch. 40 | References | 889 |
Bibliography | 905 | |
Index | 921 |
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Add Mirror Symmetry, Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomor, Mirror Symmetry to the inventory that you are selling on WonderClubX
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Add Mirror Symmetry, Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomor, Mirror Symmetry to your collection on WonderClub |