Normal forms of z-graded q-manifolds
Résumé
Following recent results of A.K. and V.S. on Z-graded manifolds, we give several local and global normal forms results for Q-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.
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