5 papers
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…
Convergent Twist Deformations
Chiara Esposito, Michael Heins, Stefan Waldmann
This paper establishes a functorial framework for convergence of Drinfeld's Universal Deformation Formula (UDF) on spaces of analytic vectors. This is accomplished by matching the…
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…
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 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…