7 citations · 16 across the 15 of their papers we have counts for
15 papers
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…
Global Homotopies for Differential Hochschild Cohomologies
Marvin Dippell, Chiara Esposito, Jonas Schnitzer +1
We construct explicit global homotopies for differential Hochschild cochains in differential geometry, thereby upgrading the classical Hochschild-Kostant-Rosenberg map to a deforma…
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…