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Questions on various methods and aspects of quantization
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". …
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 …
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. …