Normal forms of $\mathbb Z$-graded $Q$-manifolds
Differential Geometry
2023-08-09 v1 Mathematical Physics
math.MP
Abstract
Following recent results of A.K. and V.S. on -graded manifolds, we give several local and global normal forms results for -structures on those, i.e. for differential graded manifolds. In particular, we explain in which sense their relevant structures are concentrated along the zero-locus of their curvatures, especially when the negative part is of Koszul--Tate type. We also give a local splitting theorem.
Cite
@article{arxiv.2212.05579,
title = {Normal forms of $\mathbb Z$-graded $Q$-manifolds},
author = {Alexei Kotov and Camille Laurent-Gengoux and Vladimir Salnikov},
journal= {arXiv preprint arXiv:2212.05579},
year = {2023}
}