Deformations of symplectic foliations: algebraic aspects
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.
Authors
- Alfonso Giuseppe Tortorella (ORCID: https://orcid.org/0000-0002-5201-4485)
- Marco Zambon (ORCID: https://orcid.org/0000-0002-5021-3675)
- Stephane Geudens (ORCID: https://orcid.org/0000-0003-3671-4497)
Institutions
- University of Salerno (IT)
- University College London (GB)
- KU Leuven (BE)
Publication Details
- Journal
- Israel Journal of Mathematics
- Published
- 2025-06-29
- DOI
- https://doi.org/10.1007/s11856-025-2779-1
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Fonds De La Recherche Scientifique - FNRS
- Fonds Wetenschappelijk Onderzoek
- KU Leuven
- Instituto Mexicano del Seguro Social
- Vlaamse regering
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni
- Fundação para a Ciência e a Tecnologia
- Centro de Matemática Universidade do Porto
- Centro de Matemática, Universidade de Coimbra