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Gauge equivalences for foliations and pre-symplectic structures

Florian Schätz

Eckenheimer Landstr. 136, 60318 Frankfurt am Main, Germany

E-mail Address: florian.schaetz@gmail.com

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and

Marco Zambon

Department of Mathematics, KU Leuven, Celestijnenlaan 200B Box 2400, 3001 Leuven, Belgium

E-mail Address: marco.zambon@kuleuven.be

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https://doi.org/10.1142/S0219199720500674Cited by:2 (Source: Crossref)

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 $L_{\infty}$ -algebras governing these deformation problems.

Keywords:

AMSC: 53C12, 53D05, 58H15, 17B70

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