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GR: Fachverband Gravitation und Relativitätstheorie

GR 10: Hauptvorträge Donnerstag

GR 10.1: Invited Talk

Thursday, March 6, 2008, 08:30–09:00, KGI-HS 1010

3D mapping-class groups in canonical General Relativity — •Domenico Giulini — Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Golm

Mapping-Class-Groups of 3-dimensional manifolds (the Cauchy surfaces) act as discrete symmetries on the constraint-reduced spaces of states in classical as well as quantum gravity. These groups are generically infinite and non-abelian and therefore not easy to understand. I review some of the progress that has been made in understanding their structure and also comment on their relevance in current approaches to quantum gravity.