6 citations · 26 across the 12 of their papers we have counts for
12 papers
Simultaneous Deformations of Symplectic Forms and Lagrangian Submanifolds
Stephane Geudens, Florian Schaetz, Alfonso G. Tortorella
Given a compact symplectic manifold and a compact Lagrangian submanifold , we describe small deformations of the pair modulo the action by isotopies.…
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…
Eulerian idempotent, pre-Lie logarithm and combinatorics of trees
Ruggero Bandiera, Florian Schaetz
The aim of this paper is to bring together the three objects in the title. Recall that, given a Lie algebra , the Eulerian idempotent is a canonical projection from t…
How to discretize the differential forms on the interval
Ruggero Bandiera, Florian Schaetz
We provide explicit quasi-isomorphisms between the following three algebraic structures associated to the unit interval: i) the commutative dg algebra of differential forms, ii) th…
Flat Z-graded connections and loop spaces
Camilo Arias Abad, Florian Schaetz
The pull back of a flat bundle along the evaluation map from the free loop space to comes equipped with a canonical au…
Holonomies for connections with values in L-infinity algebras
Camilo Arias Abad, Florian Schaetz
Given a flat connection on a manifold with values in a filtered L-infinity-algebra, we construct a morphism of coalgebras that generalizes the holonomies of flat connections with v…