5 papers
A proof of Tsygan's formality conjecture for Hamiltonian actions
Chiara Esposito, Niek de Kleijn, Jonas Schnitzer
In this short note we prove an equivariant version of the formality of multidiffirential operators for a proper Lie group action. More precisely, we show that the equivariant Hochs…
Lie Theory for Complete Curved -algebras
Niek de Kleijn, Felix Wierstra
In this paper we develop the -analog of the Maurer-Cartan simplicial set associated to an -algebra and show how we can use this to study the deformation theory…
-resolutions and twisting in the curved context
Chiara Esposito, Niek de Kleijn
In this short note we describe an alternative global version of the twisting procedure used by Dolgushev to prove formality theorems. This allows us to describe the maps of Fedosov…
Universal Deformation Formula, Formality and Actions
Chiara Esposito, Niek de Kleijn
In this paper we provide a quantization via formality of Poisson actions of a triangular Lie algebra on a smooth manifold . Using the formality of polydifferen…
Classification of Group Actions Extended to Symplectic Deformation Quantizations
Niek de Kleijn
Consider a group acting on a formal (Fedosov) deformation quantization of a symplectic manifold . This canonically induces an action of by symp…