In [6], we developed the deformation theory of symplectic foliations, focusing on geometric aspects. Here, we address some algebraic questions that arose naturally. We show that the L∞-algebra constructed in [6] is independent of the choices made, and we prove that the gauge equivalence of Maurer–Cartan elements corresponds to the equivalence by isotopies of symplectic foliations.
Deformations of symplectic foliations: algebraic aspects
Geudens S.
;Tortorella A. G.;
2025
Abstract
In [6], we developed the deformation theory of symplectic foliations, focusing on geometric aspects. Here, we address some algebraic questions that arose naturally. We show that the L∞-algebra constructed in [6] is independent of the choices made, and we prove that the gauge equivalence of Maurer–Cartan elements corresponds to the equivalence by isotopies of symplectic foliations.File in questo prodotto:
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