Following on from last post I want to talk about the appropriate notion of morphism between the objects I defined. Recall that these are Lie groupoids with a map to the manifold satisfying some properties ( and are surjective submersions), and then equipped with a little bit of extra structure. We will fix a bundle … Continue reading Morphisms between abelian differentiable gerbes| theHigherGeometer
Bundle gerbes are a class of objects that are my bread and butter, but there are many different ways of thinking about them. In my paper with Raymond Vozzo we wrote a different take that starts from the point of view of plain Lie groupoids (which we allow to be infinite-dimensional) and slowly builds in … Continue reading Abelian differentiable gerbes – recap| theHigherGeometer