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Gurau argued in [arXiv:1006.0714] that the gluing spaces arising as Feynman diagrams of three-dimensional group field theory are not all pseudo-manifolds.
D. V. Boulatov, “A Model of three-dimensional lattice gravity,” Mod. Phys. Lett
1992
Earlier work this paper cites.
Princeton University Press, 1997
W. Thurston, Three-dimensional Geometry and Topology · 1997
Earlier work this paper cites.
R. De Pietri and C. Petronio, “Feynman diagrams of generalized matrix models and the associated manifolds in dimension 4,” J. Math. Phys
2000
Earlier work this paper cites.
Cambridge University Press, 2002
A. Hatcher, Algebraic Topology · 2002
Earlier work this paper cites.
B. Burton, “Introducing Regina, The 3-Manifold Topology Software,” Experiment. Math
2004
Cited alongside, same era.
L. Freidel, “Group field theory: An overview,” Int. J. Theor. Phys
2005
Cited alongside, same era.
Springer, 2007
S. Matveev, Algorithmic Topology and Classification of 3-Manifolds · 2007
Cited alongside, same era.
2009
Cited alongside, same era.
D. Oriti, “The group field theory approach to quantum gravity,” arXiv:gr-qc/0607032
Cited in the paper.
Cited in the paper.
Cited in the paper.
R. Gurau, “The 1/N expansion of colored tensor models,” arXiv:1011.2726 [gr-qc]
Cited in the paper.
Cited in the paper.
2010
Later among the works it cites.
2010
Later among the works it cites.
R. Gurau, “Lost in Translation: Topological Singularities in Group Field Theory,” Class.Quant.Grav
2010
Later among the works it cites.
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