English

Deformations of Symplectic Foliations: algebraic aspects

Symplectic Geometry 2023-05-02 v1 Quantum Algebra

Abstract

In the companion paper arXiv:2110.05298, 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 LL_{\infty}-algebra constructed there 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.

Keywords

Cite

@article{arxiv.2305.00501,
  title  = {Deformations of Symplectic Foliations: algebraic aspects},
  author = {Stephane Geudens and Alfonso G. Tortorella and Marco Zambon},
  journal= {arXiv preprint arXiv:2305.00501},
  year   = {2023}
}

Comments

26 pages

R2 v1 2026-06-28T10:21:57.701Z