3 papers
math.DG2020
Lie groupoids and logarithmic connections
Francis Bischoff
Using tools from the theory of Lie groupoids, we study the category of logarithmic flat connections on principal -bundles, where is a complex reductive structure group. Flat…
math.DG2018
Deformation spaces and normal forms around transversals
Francis Bischoff, Henrique Bursztyn, Hudson Lima +1
Given a manifold M with a submanifold N, the deformation space D(M,N) is a manifold with a submersion to R whose zero fiber is the normal bundle, and all other fibers are equal to…
math.DG2018
Morita equivalence and the generalized Kähler potential
Francis Bischoff, Marco Gualtieri, Maxim Zabzine
We solve the problem of determining the fundamental degrees of freedom underlying a generalized Kähler structure of symplectic type. For a usual Kähler structure, it is well-known…