3 papers
math.DG2025
Equivalence functors in graded supergeometry
Katarzyna Grabowska, Janusz Grabowski, Mikołaj Rotkiewicz
It has recently been proved that the category of N-manifolds of degree , that is, -graded supermanifolds of degree for which the parity agrees with the gradation,…
math.DG2024
Exploring the Structure of Higher Algebroids
Mikołaj Rotkiewicz
The notion of a \emph{higher-order algebroid}, as introduced by Jóźwikowski and Rotkiewicz in their work \emph{Higher-order analogs of Lie algebroids via vector bundle comorphisms}…
math.DG2021
Graded covering of a supermanifold I. The case of a Lie supergroup
Mikolaj Rotkiewicz, Elizaveta Vishnyakova
We generalize the Donagi and Witten construction of a first obstruction class for splitting of a supermanifold via differential operators using the theory of -fold vector bundle…