Topology, Geometry and Quantum Field Theory (eBook, PDF)

Proceedings of the 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme Segal
Redaktion: Tillmann, Ulrike

• Format: PDF

Produktbeschreibung

The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 28. Juni 2004
• Englisch
• ISBN-13: 9780511894091
• Artikelnr.: 53221024

Inhaltsangabe

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.