Fetching the paper…
Reading the bibliography…
The construction of gauge theories beyond the realm of Lie groups and algebras leads one to consider Lie groupoids and algebroids equipped with additional geometrical structures which, for gauge invariance of the construction, need to satisfy particular compatibility conditions.
R. Bott. Notes on the Spencer resolution
1963
Earlier work this paper cites.
G. Rinehart. Differential forms for general commutative algebras
1963
Earlier work this paper cites.
B. O’Neill. The fundamental equations of a submersion
1966
Earlier work this paper cites.
J. Pradines. Théorie de Lie pour les groupoides différentiables. Calcul différentiel dans la catégorie des groupoides infinitésimaux
1967
Earlier work this paper cites.
P. Molino. Riemannian Foliations
1988
Earlier work this paper cites.
M. Henneaux, C. Teitelboim. Quantization of Gauge Systems
1992
Earlier work this paper cites.
A. Vaintrob. Lie algebroids and homological vector fields
1997
Earlier work this paper cites.
A.C. da Silva, A. Weinstein. Geometric Models for Noncommutative Algebras
1999
Earlier work this paper cites.
N. Hitchin. Generalized Calabi-Yau manifolds
2003
Cited alongside, same era.
I. Moerdijk, J. Mrcun. Introduction to Foliations and Lie Groupoids
2003
Cited alongside, same era.
T. Strobl. Algebroid Yang-Mills Theories
2004
Cited alongside, same era.
A. Alekseev, T. Strobl. Current Algebras and Differential Geometry
2005
Cited alongside, same era.
K. Mackenzie. General Theory of Lie Groupoids and Lie Algebroids
2005
Cited alongside, same era.
A. D. Blaom. Geometric structures as deformed infinitesimal symmetries
2006
Cited alongside, same era.
M. Zabzine. Lectures on Generalized Complex Geometry and Supersymmetry
U. Lindstrom, M. Rocek, R. von Unge, M. Zabzine. Generalized Kaehler manifolds and off-shell supersymmetry
2007
Later among the works it cites.
C. Mayer, T. Strobl. Lie Algebroid Yang Mills with Matter Fields
2009
Later among the works it cites.
A. Kotov, T. Strobl. Generalizing Geometry - Algebroids and Sigma Models
2010
Later among the works it cites.
A. D. Blaom. Lie algebroids and Cartan’s method of equivalence
2012
Later among the works it cites.
A. Kotov, V. Salnikov and T. Strobl. 2d Gauge Theories and Generalized Geometry
2014
Later among the works it cites.
A. Kotov, T. Strobl. Curving Yang-Mills-Higgs Gauge Theories
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2006
Cited alongside, same era.
M. Kapranov. Free Lie algebroids and the space of paths
2007
Cited alongside, same era.
A. Chatzistavrakidis, A. Deser, L. Jonke and T. Strobl, Strings in Singular Space-Times and Their Universal Gauge Theory
Cited in the paper.
M. del Hoyo, R. L. Fernandes. Riemannian metrics on Lie groupoids
Cited in the paper.
Cited in the paper.
A. Kotov, T. Strobl. Universal Cartan-Lie algebroid of an anchored bundle with connection and compatible geometries
Cited in the paper.
A. Kotov, T. Strobl. Gauging without Initial Symmetry
2016
Closest in time.
A. Kotov, T. Strobl. Integration of quadratic Lie algebroids to Riemannian Cartan-Lie groupoids
2018
Closest in time.