Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor galois-theory gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics planar pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMar 20th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded publication data for: * [[Stefan Waldmann]], _Poisson-Geometrie und Deformationsquantisierung_, Springer (2007) &lbrack;[doi:10.1007/978-3-540-72518-3](https://doi.org/10.1007/978-3-540-72518-3)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/C%2A+algebraic+deformation+quantization/20">diff</a>, <a href="https://ncatlab.org/nlab/revision/C%2A+algebraic+deformation+quantization/20">v20</a>, <a href="https://ncatlab.org/nlab/show/C%2A+algebraic+deformation+quantization">current</a>

   added publication data for:

   • Stefan Waldmann, Poisson-Geometrie und Deformationsquantisierung, Springer (2007) [doi:10.1007/978-3-540-72518-3]

   diff, v20, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMar 20th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have expanded the Idea-section ([here](https://ncatlab.org/nlab/show/C*+algebraic+deformation+quantization#Idea)) by paragraphs adapted from what I just wrote into the new entry *[[deformation quantization]]* and adding explicit pointers both to converging formal deformation quantization (which I have given its own References-subsection, [here](https://ncatlab.org/nlab/show/C*+algebraic+deformation+quantization#ConvergingFormalDeformationQuantization)) as well as for the zoo of $C^\ast$-algebraic strict deformation quantizations, which is nicely surveyed in Section 2 of [Hawkins (2008a)](https://ncatlab.org/nlab/show/C*+algebraic+deformation+quantization#Hawkins08a). I feel the terminology "deformation quantization" for all these notions is (a) not non-standard (Hawkins uses it extensively) and (b) well justified on conceptual grounds and (c) it should no longer be ambiguous with these edits and the new disambiguation page *[[deformation quantization]]*. But of course, if you spot further passages that still seem ambiguous or misleading, then let's expand further. <a href="https://ncatlab.org/nlab/revision/diff/C%2A+algebraic+deformation+quantization/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/C%2A+algebraic+deformation+quantization/21">v21</a>, <a href="https://ncatlab.org/nlab/show/C%2A+algebraic+deformation+quantization">current</a>

   I have expanded the Idea-section (here) by paragraphs adapted from what I just wrote into the new entry deformation quantization and adding explicit pointers both to converging formal deformation quantization (which I have given its own References-subsection, here) as well as for the zoo of $C^\ast$-algebraic strict deformation quantizations, which is nicely surveyed in Section 2 of Hawkins (2008a).

   I feel the terminology “deformation quantization” for all these notions is (a) not non-standard (Hawkins uses it extensively) and (b) well justified on conceptual grounds and (c) it should no longer be ambiguous with these edits and the new disambiguation page deformation quantization.

   But of course, if you spot further passages that still seem ambiguous or misleading, then let’s expand further.

   diff, v21, current