3 citations · 6 across the 6 of their papers we have counts for
7 papers
A Chern-Weil theory for Lie groupoids with Cartan connections
Luca Accornero, Mateus de Melo, Ivan Struchiner
We extend Chern-Weil theory to Lie groupoids carrying a Cartan connection. For a principal -bundle over we construct a map of differential graded algebras from…
A note on Chern-Weil classes of Cartan connections
Luca Accornero, Mateus M. de Melo, Ivan Struchiner
We present a construction of Chern-Weil characteristic classes for pairs Cartan geometries sharing the same underlying data. Given any model Cartan geometry with underlying…
Pseudogroups of symmetries and Morita equivalences
Luca Accornero, Francesco Cattafi
This work is a spin-off of an on-going programme which aims at revisiting the original studies of Lie and Cartan on pseudogroups and geometric structures from a modern perspective.…
A groupoid approach to transitive differential geometry
Luca Accornero, Francesco Cattafi
This work is a spin-off of an on-going programme which aims at revisiting the original studies of Lie and Cartan on pseudogroups and geometric structures from a modern perspective.…
Haefliger's differentiable cohomology
Luca Accornero, Marius Crainic
We review Haefliger's differentiable cohomology for the pseudogroup of diffeomorphisms of . We investigate the structure needed to define such a cohomology, which, re…
Symmetry transformations of extremals and higher conserved quantities: invariant Yang--Mills connections
Luca Accornero, Marcella Palese
We characterize symmetry transformations of Lagrangian extremals generating `on shell' conservation laws. We relate symmetry transformations of extremals to Jacobi fields and study…
The Jacobi morphism and the Hessian in higher order field theory; with applications to a Yang-Mills theory on a Minkowskian background
Luca Accornero, Marcella Palese
We characterize the second variation of an higher order Lagrangian by a Jacobi morphism and by currents strictly related to the geometric structure of the variational problem. We d…