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Results tagged with quantization
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Questions on various methods and aspects of quantization
5
votes
Accepted
Reconciling two notions of geometric quantization.
Klaas Landsman has been proposing that geometric quantization is best understood as taking values in KK-cocycles. … From this and various other perspectives it looks like regarding geometric quantization as a map into KK-theory is a rather attractive idea. …
- 19.8k
5
votes
Accepted
Physical meaning of the integral cohomology condition in Souriau-Kostant pre-quantization?
This is spelled out in a good bit of detail in the nLab entry geometric quantization of the 2-sphere. … So one may wonder if maybe at a deeper leverl the cohomological condition that plays a role - for instance in more general situations not covered by traditional geometric quantization, such as the quantization …
- 19.8k
10
votes
Accepted
Quantization by cohomology
The case can be made that all of quantization is via cohomology, namely that quantization is fundamentally pull-push in some generalized cohomology theory, hence is index theory. … Type-semantics for quantization
it is observed that at the heart of it cohomological quantization is a fundamental operation in Grothendieck's "yoga of six functors". …
- 19.8k