86 citations · 275 across the 24 of their papers we have counts for
13 papers · 1 filter
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…
Deformation and Hochschild Cohomology of Coisotropic Algebras
Marvin Dippell, Chiara Esposito, Stefan Waldmann
Coisotropic algebras consist of triples of algebras for which a reduction can be defined and unify in a very algebraic fashion coisotropic reduction in several settings. In this pa…
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…
BRST Reduction of Quantum Algebras with -Involutions
Chiara Esposito, Andreas Kraft, Stefan Waldmann
In this paper we investigate the compatibility of the BRST reduction procedure with the Hermiticity of star products. First, we introduce the generalized notion of abstract BRST al…
Coisotropic Triples, Reduction and Classical Limit
Marvin Dippell, Chiara Esposito, Stefan Waldmann
Coisotropic reduction from Poisson geometry and deformation quantization is cast into a general and unifying algebraic framework: we introduce the notion of coisotropic triples of…
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…
Comparison and Continuity of Wick-type Star Products on certain coadjoint orbits
Chiara Esposito, Philipp Schmitt, Stefan Waldmann
In this paper we discuss continuity properties of the Wick-type star product on the 2-sphere, interpreted as a coadjoint orbit. Star products on coadjoint orbits in general have be…
Quantization of Hamiltonian coactions via twist
Pierre Bieliavsky, Chiara Esposito, Ryszard Nest
In this paper we introduce a notion of quantum Hamiltonian (co)action of Hopf algebras endowed with Drinfel'd twist structure (resp., 2-cocycles). First, we define a classical Hami…
-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…
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…
Obstructions for Twist Star Products
Pierre Bieliavsky, Chiara Esposito, Stefan Waldmann +1
In this short note we point out that not every star product is induced by a Drinfel'd twist by showing that not every Poisson structure is induced by a classical -matrix. Exampl…
Convergence of the Gutt Star Product
Chiara Esposito, Paul Stapor, Stefan Waldmann
In this work we consider the Gutt star product viewed as an associative deformation of the symmetric algebra S^\bullet(g) over a Lie algebra g and discuss its continuity properties…