We consider the deformation theory of two kinds of geometric objects: foliations on one hand, pre-symplectic forms on the other. For each of them, we prove that the geometric notion of equivalence given by isotopies agrees with the algebraic notion of gauge equivalence obtained from the L∞-algebras governing these deformation problems.

中文翻译：

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叶面和前辛结构的量规等价

我们考虑两种几何对象的变形理论：一方面是叶状体，另一方面是前辛形式。对于它们中的每一个，我们证明了同位素给出的几何等价概念与从大号∞-管理这些变形问题的代数。