Research Catalog

Title

Topological field theory, primitive forms and related topics / Masaki Kashiwara [and others], editors.

Publication

Boston : Birkhauser, ©1998.

Items in the Library & Off-site

Details

Additional Authors

• Kashiwara, Masaki, 1947-
• Taniguchi Symposium "Topological Field Theory, Primitive Forms and Related Topics" (38th : 1996 : Kyoto, Japan)
• RIMS Symposium Topological Field Theory and Related Topics (1996 : Kyoto University)

Description

vi, 493 pages : illustrations; 25 cm.

Summary

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 expository papers in this volume are by participants of the Taniguchi Symposium "Topological Field Theory. Primitive Forms and Related Topics" and of the RIMS Symposium bearing the same title, both held in Kyoto. These articles 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.

Series Statement

Progress in mathematics ; v. 160

Uniform Title

Progress in mathematics (Boston, Mass.) ; v. 160.

Subject

• Quantum field theory > Congresses
• Algebraic topology > Congresses
• Mathematical physics > Congresses
• Algebraic topology
• Mathematical physics
• Quantum field theory
• Champs, Théorie quantique des > Congrès
• Topologie algébrique > Congrès
• Physique mathématique > Congrès
• Quantenfeldtheorie > Topologische Algebra > Kongress > Kioto <1996>
• Topologische Algebra > Quantenfeldtheorie > Kongress > Kioto <1996>

Genre/Form

• Conference papers and proceedings.
• Kioto (1996)

Note

• "Proceedings of the 38th Taniguchi Symposium "Topological Field Theory, Primitive Forms and Related Topics" (December 9-13, 1996, at Kansai Seminar House, Kyoto) and the RIMS Symposium with the same title (December 16-19 at the Research Institute for Mathematical Sciences, Kyoto University"--Pref.

Bibliography (note)

• Includes bibliographical references.

Contents

Degenerate Double Affine Hecke Algebra and Conformal Field Theory / Tomoyuki Arakawa, Takeshi Suzuki and Akihiro Tsuchiya -- Vertex Algebras / Richard E. Borcherds -- Extensions of Conformal Modules / Shun-Jen Cheng, Victor G. Kac and Minoru Wakimoto -- String Duality and a New Description of the E[subscript 6] Singularity / Tohru Eguchi -- A Mirror Theorem for Toric Complete Intersections / Alexander Givental -- Precious Siegel Modular Forms of Genus Two / Valeri Gritsenko -- Non-Abelian Conifold Transitions and N = 4 Dualities in Three Dimensions / Kentaro Hori, Hirosi Ooguri and Cumrun Vafa -- GKZ Systems, Grobner Fans, and Moduli Spaces of Calabi-Yau Hypersurfaces / Shinobu Hosono -- Semisimple Holonomic D-Modules / Masaki Kashiwara -- K3 Surfaces, Igusa Cusp Forms, and String Theory / Toshiya Kawai -- Hodge Strings and Elements of K. Saito's Theory of Primitive Form / Andrei Losev -- Summary of the Theory of Primitive Forms / Atsushi Matsuo -- Affine Hecke Algebras and Macdonald Polynomials / Masatoshi Noumi -- Duality for Regular Systems of Weights: A Precis / Kyoji Saito -- Flat Structure and the Prepotential for the Elliptic Root System of Type D[subscript 4]([superscript 1,1]) / Ikuo Satake -- Generalized Dynkin Diagrams and Root Systems and Their Folding / Jean-Bernard Zuber.

ISBN

• 0817639756
• 9780817639754
• 3764339756
• 9783764339753

LCCN

98004532

OCLC

• ocm38574495
• 38574495
• SCSB-8806444

Owning Institutions

Princeton University Library