7 citations · 16 across the 15 of their papers we have counts for
10 papers · 1 filter
Classification and Reduction of Homogeneous Star Products
Marvin Dippell, Chiara Esposito, Jonas Schnitzer
We present a classification of homogeneous star products on duals of Lie algebroids in terms of the second Lie algebroid cohomology. Moreover, we extend this classification to proj…
Quantization of infinitesimal braidings and pre-Cartier quasi-bialgebras
Chiara Esposito, Andrea Rivezzi, Jonas Schnitzer +1
In this paper we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the non-symmetric case. The algebraic counterpart of the…
Quantization of the Momentum Map via -adapted Formalities
Chiara Esposito, Ryszard Nest, Jonas Schnitzer +1
In this note, we provide a proof of the existence and complete classification of -invariant star products with quantum momentum maps on Poisson manifolds by means of an equivari…
An Introduction to -Algebras and their Homotopy Theory
Andreas Kraft, Jonas Schnitzer
In this review we give a detailed introduction to the theory of (curved) -algebras and -morphisms. In particular, we recall the notion of (curved) Maurer-Cartan…
The Strong Homotopy Structure of BRST Reduction
Chiara Esposito, Andreas Kraft, Jonas Schnitzer
In this paper we propose a reduction scheme for polydifferential operators phrased in terms of -morphisms. The desired reduction -morphism has been obtained by…
The Homotopy Class of twisted -morphisms
Andreas Kraft, Jonas Schnitzer
The global formality of Dolgushev depends on the choice of a torsion-free covariant derivative. We prove that the globalized formalities with respect to two different covariant der…
The Strong Homotopy Structure of Poisson Reduction
Chiara Esposito, Andreas Kraft, Jonas Schnitzer
In this paper we propose a reduction scheme for multivector fields phrased in terms of -morphisms. Using well-know geometric properties of the reduced manifolds we perfor…
Characteristic (Fedosov-)class of a twist constructed by Drinfel'd
Jonas Schnitzer
In a seminal paper Drinfel'd explained how to associate to every classical r-matrix for a Lie algebra $\lie g$ a twisting element based on $\mathcal{U}(\lie g)[[\hbar]]$, or equiva…
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…
A Universal Construction of Universal Deformation Formulas, Drinfel'd Twists and their Positivity
Chiara Esposito, Jonas Schnitzer, Stefan Waldmann
In this paper we provide an explicit construction of star products on U(g)-module algebras by using the Fedosov approach. This construction allows us to give a constructive proof t…