3 papers
math-ph2020
Linear -Manifolds and Linear Actions
Andrew James Bruce, Eduardo Ibarguengoytia, Norbert Poncin
We establish the representability of the general linear -group and use the restricted functor of points - whose test category is the category of -…
math-ph2019
The Schwarz-Voronov Embedding of -Manifolds
Andrew James Bruce, Eduardo Ibarguengoytia, Norbert Poncin
Informally, -manifolds are 'manifolds' with -graded coordinates and a sign rule determined by the standard scalar product of their ${\mathbb Z}_2^…
math-ph2018
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…