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This paper presents relevant modern mathematical formulations for (classical) gauge field theories, namely, ordinary differential geometry, noncommutative geometry, and transitive Lie algebroids.
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Exotic characteristic classes of Lie algebroids
M. Crainic and R. L. Fernandes · 2009
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Representations up to homotopy of Lie algebroids
C. Arias Abad and M. Crainic · 2011
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E. Cagnache, T. Masson, and J.-C. Wallet · 2011
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Resilience of the spectral standard model
A. H. Chamseddine and A. Connes · 2012
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S. Lazzarini and T. Masson · 2012
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T. Masson · 2012
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Formulation of gauge theories on transitive lie algebroids
C. Fournel, S. Lazzarini, and T. Masson · 2013
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Gauge invariant composite fields out of connections, with examples
C. Fournel, J. François, S. Lazzarini, and T. Masson · 2014
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