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3 Loop Quantum Gravity

Since many reviews of full loop quantum gravity [17219522Jump To The Next Citation Point174161] as well as shorter accounts [910173190167198] are already available, we describe here only those properties which will be essential later on. Nevertheless, this review is mostly self-contained; our notation is closest to that in [22]. A recent bibliography can be found in [93].


 3.1 Geometry
 3.2 Ashtekar variables
 3.3 Representation
 3.4 Function spaces
 3.5 Composite operators
 3.6 Hamiltonian constraint
 3.7 Open issues

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