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math.DG2012★ 4 cited
Cohomology for almost Lie algebroids
Melchior Grützmann, Xiaomeng Xu
We give numerous examples of almost Lie algebroids arising as Dirac structures in pre-Courant algebroids, e.g. from twisted Poisson structures, as well as from twisted actions of a…
math.DG2010★ 31 cited
H-twisted Lie algebroids
Melchior Grutzmann
We define a new kind of algebroid which fulfills a Leibniz rule, a Jacobi identity twisted by a 3-form with values in the kernel of the anchor map, and the twist is closed unde…
math.DG2010★ 7 cited
Courant algebroids: Cohomology and Matched Pairs
Melchior Grützmann
We introduce Courant algebroids, providing definitions, some historical notes, and some elementary properties. Next, we summarize basic properties of graded manifolds. Then, drawin…