Topological Field Theory, Primitive Forms and Related Topics

  • Masaki Kashiwara
  • Atsushi Matsuo
  • Kyoji Saito
  • Ikuo Satake

Part of the Progress in Mathematics book series (PM, volume 160)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Tomoyuki Arakawa, Takeshi Suzuki, Akihiro Tsuchiya
    Pages 1-34
  3. Richard E. Borcherds
    Pages 35-77
  4. Shun-Jen Cheng, Victor G. Kac, Minoru Wakimoto
    Pages 79-129
  5. Alexander Givental
    Pages 141-175
  6. Valeri Gritsenko
    Pages 177-203
  7. Kentaro Hori, Hirosi Ooguri, Cumrun Vafa
    Pages 205-238
  8. Masaki Kashiwara
    Pages 267-271
  9. Atsushi Matsuo
    Pages 337-363
  10. Masatoshi Noumi
    Pages 365-377

About this book


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. 


Potential Theoretical physics Topological Field Theory algebra conformal field theory mathematics ring theory theorem

Editors and affiliations

  • Masaki Kashiwara
    • 1
  • Atsushi Matsuo
    • 2
  • Kyoji Saito
    • 1
  • Ikuo Satake
    • 3
  1. 1.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan
  2. 2.Department of Mathematical SciencesUniversity of TokyoTokyoJapan
  3. 3.Department of MathematicsOsaka UniversityToyonaka-cityJapan

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media New York 1998
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6874-1
  • Online ISBN 978-1-4612-0705-4
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site
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