{"arxiv_id":"0909.4238","incoming":{"papers":2,"sentences":7,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1109.0793","title":"Consistent 3D Quantum Gravity on Lens Spaces","url":"/paper/1109.0793","section":"$ℋ _T^2$","sentence":"The rest of the prequantization technique can be analogously constructed as given in [ref] .","intent_p":0.93,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1109.0793","title":"Consistent 3D Quantum Gravity on Lens Spaces","url":"/paper/1109.0793","section":"$ℋ _T^2$","sentence":"Although this can be found in various places, for example in [ref] , for completeness we would like to give a simple and short description of it.","intent_p":0.87,"contests_p":null}]}],"unlabelled_sentences":5},"outgoing":{"papers":26,"sentences":49,"groups":[{"kind":"extends","label":"Builds 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EOM1 and EOM2 for arbitrary values of the parameters $a,b, α_3, α_4$.","intent_p":0.86,"contests_p":null},{"arxiv_id":"gr-qc/0306070","title":"Asymptotic dynamics in 3D gravity with torsion","url":"/paper/gr-qc/0306070","section":"Holst-like 2+1 Gravity as a Chern Simons theory","sentence":"A more general model for 2+1 gravity with negative cosmological constant was introduced by Mielke et al [ref] , [ref] and later studied extensively in [ref] , [ref] , [ref] , which without matter fields read: I = a I_1 +b I_2 + α_3 I_3 + α_4 I_4 where [equation] However this model does not reproduce the equations of motion EOM1 and EOM2 for arbitrary values of the parameters $a,b, α_3, α_4$.","intent_p":0.86,"contests_p":null},{"arxiv_id":"gr-qc/0404018","title":"Background Independent Quantum Gravity: A Status Report","url":"/paper/gr-qc/0404018","section":"The physical phase space","sentence":"For illustrations of this later path one may look up the context of quantization of diffeomorphism 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