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  A simple proof of orientability in colored group field theory

Caravelli, F. (2012). A simple proof of orientability in colored group field theory. SpringerPlus, 1: 6. doi:10.1186/2193-1801-1-6.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EE7D-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EE7E-4
Genre: Journal Article

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1012.4087 (Preprint), 390KB
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 Creators:
Caravelli, Francesco1, Author
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1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_67201              

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Free keywords: Mathematical Physics, math-ph,General Relativity and Quantum Cosmology, gr-qc,Mathematics, Mathematical Physics, math.MP
 Abstract: In this short note we use results from the theory of crystallizations to prove that color in group field theories garantees orientability of the piecewise linear pseudo-manifolds associated to each graph generated perturbatively. The origin of orientability is the presence of two interaction vertices.

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 Dates: 2010-12-182011-11-012012
 Publication Status: Published in print
 Pages: 5 pages two columns, 3 figures; presentation improved, title changed
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 Rev. Method: -
 Identifiers: arXiv: 1012.4087
DOI: 10.1186/2193-1801-1-6
URI: http://arxiv.org/abs/1012.4087
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Title: SpringerPlus
Source Genre: Journal
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Pages: - Volume / Issue: 1 Sequence Number: 6 Start / End Page: - Identifier: -