72 citations · 94 across the 4 of their papers we have counts for
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math.DG2009
Geometric structures encoded in the Lie structure of an Atiyah algebroid
Janusz Grabowski, Alexei Kotov, Norbert Poncin
We investigate Atiyah algebroids, i.e. the infinitesimal objects of principal bundles, from the viewpoint of Lie algebraic approach to space. First we show that if the Lie algebras…
math.DG2007★ 22 cited
Characteristic classes associated to Q-bundles
Alexei Kotov, Thomas Strobl
A Q-manifold is a graded manifold endowed with a vector field of degree one squaring to zero. We consider the notion of a Q-bundle, that is, a fiber bundle in the category of Q-man…
math.DG2004★ 72 cited
Lie algebroid morphisms, Poisson Sigma Models, and off-shell closed gauge symmetries
Martin Bojowald, Alexei Kotov, Thomas Strobl
Chern-Simons gauge theories in 3 dimensions and the Poisson Sigma Model (PSM) in 2 dimensions are examples of the same theory, if their field equations are interpreted as morphisms…