4 citations · 11 across the 8 of their papers we have counts for
8 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…
Infinitesimal Star Products Compatible with Coisotropic Reduction
Marvin Dippell
We determine infinitesimal star products on Poisson manifolds compatible with coisotropic reduction. This is achieved by computing the second constraint Hochschild cohomology of th…
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…
Constraint Vector Bundles and Reduction of Lie (Bi-)Algebroids
Marvin Dippell, David Kern
We present a framework for the reduction of various geometric structures extending the classical coisotropic Poisson reduction. For this we introduce constraint manifolds and const…
Constraint Reduction in Algebra, Geometry and Deformation Theory
Marvin Dippell
To study coisotropic reduction in the context of deformation quantization we introduce constraint manifolds and constraint algebras as the basic objects encoding the additional inf…
A Serre-Swan Theorem for Coisotropic Algebras
Marvin Dippell, Felix Menke, Stefan Waldmann
Coisotropic algebras are used to formalize coisotropic reduction in Poisson geometry as well as in deformation quantization and find applications in various other fields as well. I…
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…
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…