30 citations · 103 across the 9 of their papers we have counts for
4 papers · 1 filter
The Frobenius theorem for -supermanifolds
Tiffany Covolo, Stephen Kwok, Norbert Poncin
We continue the development of -supergeometry, a natural generalization of classical (-graded) supergeometry, by proving the Frobenius theorem for int…
Differential calculus on -supermanifolds
Tiffany Covolo, Stephen Kwok, Norbert Poncin
The concept of $\Zn$-supermanifold has been recently proposed as a natural generalization of classical ($\Zs$-graded) supergeometry, allowing for more complicated commutativity con…
Splitting theorem for -supermanifolds
Tiffany Covolo, Janusz Grabowski, Norbert Poncin
Smooth -supermanifolds have been introduced and studied recently. The corresponding sign rule is given by the "scalar product" of the involved -degr…
The category of -supermanifolds
Tiffany Covolo, Janusz Grabowski, Norbert Poncin
In Physics and in Mathematics -gradings, , appear in various fields. The corresponding sign rule is determined by the `scalar product' of the involved $\mathbb…