53 citations · 287 across the 51 of their papers we have counts for
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Singular Poisson-Kähler geometry of stratified Kähler spaces and quantization
Johannes Huebschmann, U Lille
In the presence of classical phase space singularities the standard methods are insufficient to attack the problem of quantization.In certain situations the difficulties can be ove…
Singular Poisson-Kaehler geometry of certain adjoint quotients
Johannes Huebschmann
The Kaehler quotient of a complex reductive Lie group relative to the conjugation action carries a complex algebraic stratified Kaehler structure which reflects the geometry of the…
Slices for lifted tangent and cotangent actions
Johannes Huebschmann
Given a Lie group G, a G-manifold M, and a point b of M with compact stabilizer, we construct slices for the lifted tangent and cotangent actions at a pre-image of b in terms of a…
Singular Poisson-Kaehler geometry of Scorza varieties and their secant varieties
Johannes Huebschmann
Each Scorza variety and its secant varieties in the ambient projective space are identified, in the realm of singular Poisson-Kaehler geometry, in terms of projectivizations of hol…
Lie-Rinehart algebras, descent, and quantization
Johannes Huebschmann
A Lie-Rinehart algebra consists of a commutative algebra and a Lie algebra with additional structure which generalizes the mutual structure of interaction between the algebra of fu…