107 citations · 252 across the 20 of their papers we have counts for
18 papers
The Symplectic-to-Contact Dictionary
Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano
Contact Geometry is an odd dimensional analogue of Symplectic Geometry. This vague idea can actually be formalized in a rather precise way by means of a Symplectic-to-Contact Dicti…
Vinogradov's Cohomological Geometry of Partial Differential Equations
Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano
Secondary Calculus is a formal replacement for differential calculus on the space of solutions of a system of possibly non-linear partial differential equations and it is essential…
Integrating Nijenhuis Structures
Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano
A Nijenhuis operator on a manifold is a tensor whose Nijenhuis-torsion vanishes. A Nijenhuis operator on determines a Lie algebroid struct…
Fiber-Wise Linear Differential Operators
Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano
We define a new notion of fiber-wise linear differential operator on the total space of a vector bundle . Our main result is that fiber-wise linear differential operators on …
Multiplicative Connections and Their Lie Theory
Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano
We define and study multiplicative connections in the tangent bundle of a Lie groupoid. Multiplicative connections are linear connections satisfying an appropriate compatibility wi…
Deformation Cohomology of Lie Algebroids and Morita Equivalence
Giovanni Sparano, Luca Vitagliano
Let be a Lie algebroid. In this short note, we prove that a pull-back of along a fibration with homologically -connected fibers, shares the same deformatio…