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with only about a month delay, I am starting now on my personal web a page Seminar on derived critical loci (schreiber)
How this story of derived critical loci fits with “Kantization” idea ? I mean, at least roughly ?
As your seminar largely overlaps with the yoga from Beilinson-Drinfel’d, I am here providing the links to preliminary version of their book Chiral algebras
Contents, Introduction, Chapter 1, Chapter 2, Chapter 3, Chapter 4, References, Index.
How this story of derived critical loci fits with “Kantization” idea ?
On the one hand there is the attempt to understand what it means to “do path integral quantization”, conceptually. On the other hand BV is more about understanding the correct structure of the phase space such as to then apply some kind of deformation quantization or geometric quantization or phase space path integral quantization to it.
I am here providing the links to preliminary version of their book Chiral algebras
Better have that link list on the $n$Lab: I have created an entry Chiral Algebras.
Wait a second. One does regularization, then renormalization. As far as I learned from Tamarkin’s lectures, the resolutions correspond to the regularization (in fact standard regularization procedures can give resolutions). So, BV in this picture is about deformation quantization already. BV quantization is a quantization, why do you say now that it is classical picture only ? There must be a way to connect to Kantization recipe using the philosophy of BV integrals which are in path formalism.
Shouldn’t we have also chiral algebra not only Chiral algebras. I mean chiral algebra is not the same as VOA (certain class of VOAs can be I guess obtained from equivariant genus zero chiral algebras) though they are parts of the same subject, so the entry shudl be eventually distinct from vertex algebra and vertex operator algebra.
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