English

Gauge equivalences for foliations and pre-symplectic structures

Differential Geometry 2020-08-19 v2 Symplectic Geometry

Abstract

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 LL_{\infty}-algebras governing these deformation problems.

Keywords

Cite

@article{arxiv.1810.04555,
  title  = {Gauge equivalences for foliations and pre-symplectic structures},
  author = {Florian Schaetz and Marco Zambon},
  journal= {arXiv preprint arXiv:1810.04555},
  year   = {2020}
}

Comments

17 pages. v2: Added Subsection 2.4 on the moduli space. Final version

R2 v1 2026-06-23T04:34:56.663Z