22 citations · 22 across the 3 of their papers we have counts for
4 papers
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…
Lie algebaic characterization of supercommutative space
Janusz Grabowski, Alexei Kotov, Norbert Poncin
During the last decades algebraization of space turned out to be a promising tool at the interface between Mathematics and Theoretical Physics. Starting with works by Gel'fand-Kolm…
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…
Dirac Sigma Models
Alexei Kotov, Peter Schaller, Thomas Strobl
We introduce a new topological sigma model, whose fields are bundle maps from the tangent bundle of a 2-dimensional world-sheet to a Dirac subbundle of an exact Courant algebroid o…