27 citations · 47 across the 6 of their papers we have counts for
6 papers · 1 filter
On a -Graded Version of Supersymmetry
Andrew James Bruce
We extend the notion of super-Minkowski space-time to include -graded (Majorana) spinor coordinates. Our choice of the grading leads to spinor coordinates that are…
Connections Adapted to Non-Negatively Graded Structures
Andrew James Bruce
Graded bundles are a particularly nice class of graded manifolds and represent a natural generalisation of vector bundles. By exploiting the formalism of supermanifolds to describe…
Products in the category of -manifolds
Andrew James Bruce, Norbert Poncin
We prove that the category of -manifolds has all finite products. Further, we show that a -manifold (resp., a -morphism) can be r…
Functional analytic issues in -Geometry
Andrew James Bruce, Norbert Poncin
We show that the function sheaf of a -manifold is a nuclear Fréchet sheaf of -graded -commutative associative unital algebras. Furth…
The Graded Differential Geometry of Mixed Symmetry Tensors
Andrew James Bruce, Eduardo Ibarguengoytia
We show how the theory of -manifolds - which are a non-trivial generalisation of supermanifolds - may be useful in a geometrical approach to mixed symmetry tensors…
Almost Commutative Q-algebras and Derived brackets
Andrew James Bruce
We introduce the notion of \emph{almost commutative Q-algebras} and demonstrate how the derived bracket formalism of Kosmann-Schwarzbach generalises to this setting. In particular,…