53 citations · 287 across the 51 of their papers we have counts for
12 papers · 1 filter
On the variation of the Poisson structures of certain moduli spaces
Johannes Huebschmann
Given a Lie group G whose Lie algebra is endowed with a nondegenerate invariant symmetric bilinear form, we construct a Poisson algebra of continuous functions on a certain open su…
Extensions of Lie-Rinehart algebras and the Chern-Weil construction
Johannes Huebschmann
A Chern-Weil construction for extensions of Lie-Rinehart algebras is introduced. This generalizes the classical Chern-Weil construction in differential geometry and yields characte…
Lie-Rinehart algebras, Gerstenhaber algebras, and B-V algebras
Johannes Huebschmann
For a Lie-Rinehart algebra (A,L), generators for the Gerstenhaber algebra Λ_A L correspond bijectively to right (A,L)-connections on A in such a way that B-V structures correspond…
Duality for Lie-Rinehart algebras and the modular class
Johannes Huebschmann
We introduce a notion of duality for a Lie-Rinehart algebra giving certain bilinear pairings in its cohomology generalizing the usual notions of Poincaré duality in Lie algebra coh…
Group systems, groupoids, and moduli spaces of parabolic bundles
K. Guruprasad, J. Huebschmann, L. Jeffrey +1
Let be a Lie group, with an invariant non-degenerate symmetric bilinear form on its Lie algebra, let be the fundamental group of an orientable (real) surface with a fin…
Extended moduli spaces and the Kan construction.II.Lattice gauge theory
Johannes Huebschmann
Let be a CW-complex with a single 0-cell, its Kan group, a model for the loop space of , and let be a compact, connected Lie group. We give an explicit finite dimens…
Extended moduli spaces and the Kan construction
Johannes Huebschmann
Let be a CW-complex with a single 0-cell, let be its Kan group, a free simplicial group whose realization is a model for the space of based loops on , and let b…
Symplectic and Poisson structures of certain moduli spaces. II. Projective representations of cocompact discrete planar groups
Johannes Huebschmann
Let be a Lie group with a biinvariant metric, not necessarily positive definite. It is shown that a certain construction carried out in an earlier paper for the fundamental gro…
Poisson structures on certain moduli spaces for bundles on a surface
Johannes Huebschmann
Let be a closed surface, a compact Lie group, with Lie algebra , and a principal -bundle. In earlier work we have shown that the moduli space …
Smooth structures on certain moduli spaces for bundles on a surface
Johannes Huebschmann
Let be a closed surface, a compact Lie group, with Lie algebra , a principal -bundle, let denote the moduli space of central Yang-Mills conne…
The singularities of Yang-Mills connections for bundles on a surface. II. The stratification
Johannes Huebschmann
Let be a closed surface, a compact Lie group, not necessarily connected, with Lie algebra , endowed with an adjoint action invariant scalar product, let $ξ\colon P \to Σ…
The singularities of Yang-Mills connections for bundles on a surface. I. The local model
Johannes Huebschmann
Let be a closed surface, a compact Lie group, not necessarily connected, with Lie algebra , endowed with an adjoint action invariant scalar product, let $ξ\colon P \to Σ…