EVENTI
Martedì 5 maggio, alle ore 16:00, in aula M3, il dott.Alessio Giannotta, dottorando in Matematica e Informatica, terrà un seminario dal titolo:
“On the equivalence of the integrability obstructions for transitive Lie algebroids”.
Abstract:
The integrability problem for transitive Lie algebroids can be looked at from different perspectives, revealing an interplay between cohomological methods and homotopical constructions. Mackenzie introduced a cohomological obstruction defined via sheaf-theoretic methods. On the other hand, Crainic and Fernandes used a path space approach and characterized integrability in terms of the monodromy. Recently, Meinrenken formulated the monodromy in terms of a clutching construction.
We show that all of these agree. In particular, we identify the monodromy map with the Mackenzie obstruction class through the natural pairing between cohomology and homotopy.
Joint work with Paolo Antonini.