53 citations · 287 across the 51 of their papers we have counts for
53 papers
On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras
Johannes Huebschmann
The aim here is to sketch the development of ideas related to brackets and similar concepts: Some purely group theoretical combinatorics due to Ph. Hall led to a proof of the Jacob…
Quasi Poisson structures, weakly quasi Hamiltonian structures, and Poisson geometry of various moduli spaces
Johannes Huebschmann
Let G be a Lie group and g its Lie algebra. We develop a theory of quasi Poisson structures relative to a not necessarily non-degenerate Ad-invariant symmetric 2-tensor in the tens…
Finite-dimensional construction of self-duality and related moduli spaces over a closed Riemann surface as stratified holomorphic symplectic spaces
Johannes Huebschmann
In terms of appropriate extended moduli spaces, we develop a finite-dimensional construction of the self-duality and related moduli spaces over a closed Riemann surface as stratifi…
Pseudo Maurer-Cartan perturbation algebra and pseudo perturbation lemma
Johannes Huebschmann
We introduce the pseudo Maurer-Cartan perturbation algebra, establish a structural result and explore the structure of this algebra. That structural result entails, as a consequenc…
The formal Kuranishi parametrization via the universal homological perturbation theory solution of the deformation equation
Johannes Huebschmann
Using homological perturbation theory, we develop a formal version of the miniversal deformation associated with a deformation problem controlled by a differential graded Lie algeb…
Yang-Mills moduli spaces over an orientable closed surface via Fréchet reduction
Tobias Diez, Johannes Huebschmann
Given a principal bundle on an orientable closed surface with compact connected structure group, we endow the space of based gauge equivalence classes of smooth connections relativ…