REVIEW 2 cited by
Symplectic Categories
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
Quantization problems suggest that the category of symplectic manifolds and symplectomorphisms be augmented by the inclusion of canonical relations as morphisms. These relations compose well when a transversality condition is satisfied, but the failure of the most general compositions to be smooth manifolds means that the canonical relations do not comprise the morphisms of a category. We discuss several existing and potential remedies to the nontransversality problem. Some of these involve restriction to classes of lagrangian submanifolds for which the transversality property automatically holds. Others involve allowing lagrangian "objects" more general than submanifolds.
Forward citations
Cited by 2 Pith papers
-
The Dual DG Category to Weinstein's symplectic "category" and applications to Geometric Quantization
A true differential graded category dual to Weinstein's symplectic category is constructed from prequantum systems, with an osp(1|2) superalgebra action and a vanishing theorem relating its cohomology to holomorphic q...
-
Towards First Quantisation Formalism for AKSZ Theories
A 1d AKSZ theory coupled to 1d supergravity is constructed whose path integral on a metric graph equals the Feynman graph weight of a given AKSZ theory.
Discussion (0). Continue with ORCID to comment.