11 citations · 18 across the 6 of their papers we have counts for
7 papers
Castling equivalence for logarithmic flat connections
Francis Bischoff
Let be a complex manifold containing a hypersurface and let denote the singular locus. We study the problem of extending a flat connection with logarithmic poles alon…
The derived moduli stack of logarithmic flat connections
Francis Bischoff
We give an explicit finite-dimensional model for the derived moduli stack of flat connections on with logarithmic singularities along a weighted homogeneous Saito fr…
Normal forms and moduli stacks for logarithmic flat connections
Francis Bischoff
We establish normal form theorems for a large class of singular flat connections on complex manifolds, including connections with logarithmic poles along weighted homogeneous Saito…
Brane quantization of toric Poisson varieties
Francis Bischoff, Marco Gualtieri
In this paper we propose a noncommutative generalization of the relationship between compact Kähler manifolds and complex projective algebraic varieties. Beginning with a prequanti…
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…
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…
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…