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GR: Gravitation und Relativitätstheorie

GR 404: Quantengravitation: andere Zug
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GR 404.6: Talk

Thursday, March 23, 2006, 18:10–18:30, K

Differential structures and quantum gravity — •Torsten Asselmeyer-Maluga und Helge Rose — FhG FIRST, Kekulestr. 7, 12489 Berlin

As shown in gr-qc/0511089, the algebra of fermionic field operators is related to the infinite number of different differential structures on a topologically fixed 4-manifold. This algebra, also known as Temperley-Lieb algebra, can be geometrically constructed by using self-intersecting manifolds and linked curves. The description of differential structures via a special class of bundles, the so-called virtual flat bundles, and by the geometric structures on 3-manifolds leads to a dynamical theory. The relation to Loop quantum gravity is discussed.