Topology, Geometry and Quantum Field Theory: Proceedings of the 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme Segal

ISBN-13: 9780521540490 / Angielski / Miękka / 2004 / 590 str.

Ulrike Tillmann

Opis

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 In addition to articles arising from the conference, the book also contains the famous as-yet-unpublished article by Graeme Segal on the Definition of Conformal Field Theories.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.

Spis treści

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.