29 citations · 209 across the 35 of their papers we have counts for
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Holonomy transformations for Lie subalgebroids
Marco Zambon
Given a foliation, there is a well-known notion of holonomy, which can be understood as an action that differentiates to the Bott connection on the normal bundle. We present an ana…
Quotients of singular foliations and Lie 2-group actions
Alfonso Garmendia, Marco Zambon
Every singular foliation has an associated topological groupoid, called holonomy groupoid (see arXiv:math/0612370). In this note we exhibit some functorial properties of this assig…
Lie 2-algebra moment maps in multisymplectic geometry
Leyli Mammadova, Marco Zambon
Consider a closed non-degenerate 3-form with an infinitesimal action of a Lie algebra . Motivated by the fact that the observables associated to form a Lie 2-…
Gauge equivalences for foliations and pre-symplectic structures
Florian Schaetz, Marco Zambon
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 notio…
Singular subalgebroids
Marco Zambon, Iakovos Androulidakis
We introduce singular subalgebroids of an integrable Lie algebroid, extending the notion of Lie subalgebroid by dropping the constant rank requirement. We lay the bases of a Lie th…
Hausdorff Morita Equivalence of singular foliations
Alfonso Garmendia, Marco Zambon
We introduce a notion of equivalence for singular foliations - understood as suitable families of vector fields - that preserves their transverse geometry. Associated to every sing…