Genus Integration, Abelianization and Extended Monodromy
Speaker: Rui Loja Fernandes, UIUC.
Date: 10 may 2019, 11h.
Place: Room 407, Bloco H, Campus Gragoatá, UFF.
Abstract: I will describe the genus integration of a Lie algebroid A, i.e., the space of A-paths modulo A-homology, and how it is related to a version of the classical Hurewicz homomorphism for Lie algebroids/groupoids. I will also explain that the smoothness of the genus integration is controlled by the so-called "extended monodromy" of a Lie algebroid A, introduced first by I. Marcut. This talk is based on joint work with Ivan Contreras.