Ebook: Topological Field Theory, Primitive Forms and Related Topics
- Tags: Field Theory and Polynomials, Algebraic Topology, Topology, Algebra
- Series: Progress in Mathematics 160
- Year: 1998
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
As the interaction of mathematics and theoretical physics continues to intensify, the theories developed in mathematics are being applied to physics, and conversely. This book centers around the theory of primitive forms which currently plays an active and key role in topological field theory (theoretical physics), but was originally developed as a mathematical notion to define a "good period mapping" for a family of analytic structures.
The invited papers in this volume are expository in nature by participants of the Taniguchi Symposium on "Topological Field Theory, Primitive Forms and Related Topics" and the RIMS Symposium bearing the same title, both held in Kyoto. The papers reflect the broad research of some of the world's leading mathematical physicists, and should serve as an excellent resource for researchers as well as graduate students of both disciplines.
As the interaction of mathematics and theoretical physics continues to intensify, the theories developed in mathematics are being applied to physics, and conversely. This book centers around the theory of primitive forms which currently plays an active and key role in topological field theory (theoretical physics), but was originally developed as a mathematical notion to define a "good period mapping" for a family of analytic structures.
The invited papers in this volume are expository in nature by participants of the Taniguchi Symposium on "Topological Field Theory, Primitive Forms and Related Topics" and the RIMS Symposium bearing the same title, both held in Kyoto. The papers reflect the broad research of some of the world's leading mathematical physicists, and should serve as an excellent resource for researchers as well as graduate students of both disciplines.
As the interaction of mathematics and theoretical physics continues to intensify, the theories developed in mathematics are being applied to physics, and conversely. This book centers around the theory of primitive forms which currently plays an active and key role in topological field theory (theoretical physics), but was originally developed as a mathematical notion to define a "good period mapping" for a family of analytic structures.
The invited papers in this volume are expository in nature by participants of the Taniguchi Symposium on "Topological Field Theory, Primitive Forms and Related Topics" and the RIMS Symposium bearing the same title, both held in Kyoto. The papers reflect the broad research of some of the world's leading mathematical physicists, and should serve as an excellent resource for researchers as well as graduate students of both disciplines.
Content:
Front Matter....Pages i-ix
Degenerate Double Affine Hecke Algebra and Conformal Field Theory....Pages 1-34
Vertex Algebras....Pages 35-77
Extensions of Conformal Modules....Pages 79-129
String Duality and a New Description of the E 6 Singularity....Pages 131-140
A Mirror Theorem for Toric Complete Intersections....Pages 141-175
Precious Siegel Modular Forms of Genus Two....Pages 177-203
Non-Abelian Conifold Transitions and N = 4 Dualities in Three Dimensions....Pages 205-238
GKZ Systems, Gr?bner Fans, and Moduli Spaces of Calabi-Yau Hypersurfaces....Pages 239-265
Semisimple Holonomic D-Modules....Pages 267-271
K3 Surfaces, Igusa Cusp Forms, and String Theory....Pages 273-303
Hodge Strings and Elements of K. Saito’s Theory of Primitive Form....Pages 305-335
Summary of the Theory of Primitive Forms....Pages 337-363
Affine Hecke Algebras and Macdonald Polynomials....Pages 365-377
Duality for Regular Systems of Weights: A Pr?cis....Pages 379-426
Flat Structure and the Prepotential for the Elliptic Root System of Type D4(1,1)....Pages 427-452
Generalized Dynkin Diagrams and Root Systems and Their Folding....Pages 453-493
As the interaction of mathematics and theoretical physics continues to intensify, the theories developed in mathematics are being applied to physics, and conversely. This book centers around the theory of primitive forms which currently plays an active and key role in topological field theory (theoretical physics), but was originally developed as a mathematical notion to define a "good period mapping" for a family of analytic structures.
The invited papers in this volume are expository in nature by participants of the Taniguchi Symposium on "Topological Field Theory, Primitive Forms and Related Topics" and the RIMS Symposium bearing the same title, both held in Kyoto. The papers reflect the broad research of some of the world's leading mathematical physicists, and should serve as an excellent resource for researchers as well as graduate students of both disciplines.
Content:
Front Matter....Pages i-ix
Degenerate Double Affine Hecke Algebra and Conformal Field Theory....Pages 1-34
Vertex Algebras....Pages 35-77
Extensions of Conformal Modules....Pages 79-129
String Duality and a New Description of the E 6 Singularity....Pages 131-140
A Mirror Theorem for Toric Complete Intersections....Pages 141-175
Precious Siegel Modular Forms of Genus Two....Pages 177-203
Non-Abelian Conifold Transitions and N = 4 Dualities in Three Dimensions....Pages 205-238
GKZ Systems, Gr?bner Fans, and Moduli Spaces of Calabi-Yau Hypersurfaces....Pages 239-265
Semisimple Holonomic D-Modules....Pages 267-271
K3 Surfaces, Igusa Cusp Forms, and String Theory....Pages 273-303
Hodge Strings and Elements of K. Saito’s Theory of Primitive Form....Pages 305-335
Summary of the Theory of Primitive Forms....Pages 337-363
Affine Hecke Algebras and Macdonald Polynomials....Pages 365-377
Duality for Regular Systems of Weights: A Pr?cis....Pages 379-426
Flat Structure and the Prepotential for the Elliptic Root System of Type D4(1,1)....Pages 427-452
Generalized Dynkin Diagrams and Root Systems and Their Folding....Pages 453-493
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