Synopses & Reviews
This volume covers the proceedings of an international conference held in Oxford in June 2002. In addition to articles arising from the conference, the book also contains the famous as-yet-unpublished article by Graeme Segal on the Definition of Conformal Field Theories. It is ideal as a view of the current state of the art and will appeal to established researchers as well as to novice graduate students.
Book News Annotation:
Physicists, geometers, and topologists attended a June 2002 symposium
in honor of scholar Graeme Segal. Papers from the symposium reflect
the central role of non-abelian gauge theory in elementary particle
physics and the emerging study of super-symmetry and string theory.
Topics discussed include string theory, M-theory, and quantum
gravity, as well as K-theory, elliptic cohomology, quantum
cohomology, and string topology. Segal's manuscript, "The Definition
of Conformal Field Theory," written 15 years ago, is published here
for the first time, with a new introduction by Segal. Tillmann is
affiliated with the University of Oxford. There is no subject index.
Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)
Book News Annotation:
Physicists, geometers, and topologists attended a June 2002 symposium
in honor of scholar Graeme Segal. Papers from the symposium reflect
the central role of non-abelian gauge theory in elementary particle
physics and the emerging study of super-symmetry and string theory.
Topics discussed include string theory, M-theory, and quantum
gravity, as well as K-theory, elliptic cohomology, quantum
cohomology, and string topology. Segal's manuscript, "The Definition
of Conformal Field Theory," written 15 years ago, is published here
for the first time, with a new introduction by Segal. Tillmann is
affiliated with the University of Oxford. There is no subject index.
Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)
Synopsis:
These proceedings contain surveys articles, research articles, and visionary articles that explain new approaches to important problems on the interface of pure mathematics and mathematical physics. Ideal for students and researchers, it gives a snapshot of the current state of the field as well as defining directions for future research.
Synopsis:
Visionary articles explaining new approaches to important problems on the interface of pure mathematics and mathematical physics.
Table of Contents
Part I. Contributions: 1. A variant of K-theory Michael Atiyah and Michael Hopkins; 2. Two-vector bundles and forms of elliptic cohomology Nils Baas, Bjorn Dundas and John Rognes; 3. Geometric realisation of the Segal-Sugawara construction David Ben-Zvi and Edward Frenkel; 4. Differential isomorphism and equivalence of algebraic varieties Yuri Berest and George Wilson; 5. A polarized view of string topology Ralph Cohen and Veronique Godin; 6. Random matrices and Calabi-Yau geometry Robbert Dijkgraaf; 7. A survey of the topological properties of symplectomorphism groups Dusa McDuff; 8. K-theory from a physical perspective Gregory Moore; 9. Heisenberg groups and algebraic topology Jack Morava; 10. What is an elliptic object? Stephan Stolz and Peter Teichner; 11. Open and closed string field theory interpreted in classical algebraic topology Dennis Sullivan; 12. K-theory of the moduli of principal bundles on a surface and deformations of the Verlinde algebra Constantin Teleman; 13. Cohomology of the stable mapping class group Michael S. Weiss; 14. Conformal field theory in four and six dimensions Edward Witten; Part II. The Definition of Conformal Field Theory by Graeme Segal: 15. Definition of a conformal field theory Graeme Segal.
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