Topology, Geometry and Quantum Field Theory

Topology, Geometry and Quantum Field Theory

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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.... the a#39;conjugatea#39; module from Section 4.3) The punchline is that Hilbert spaces like H(y\ U Y2) discussed above can be decomposed as where we used the ... A degree n enriched elliptic object over X is a tuple (H, *, A, 3, 03, (/agt;//), where: (1) ( H, W) is a degree n Clifford elliptic object over X. In particular, it gives ... von Neumann algebra bundle over X. (3) 3 is a module bundle over the free path space PX.

Title:Topology, Geometry and Quantum Field Theory
Author:Graeme Segal, Ulrike Luise Tillmann
Publisher:Cambridge University Press - 2004-06-28


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