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math.SG2026
The Dual DG Category to Weinstein's symplectic "category" and applications to Geometric Quantization
Jonathan Weitsman
In Weinstein's symplectic "category", objects are symplectic manifolds and morphisms are canonical relations, which may not be composable; it is therefore only morally a category.…
math.SG2024
Darboux, Moser and Weinstein theorems for prequantum systems
Eva Miranda, Jonathan Weitsman
We establish analogs of the Darboux, Moser and Weinstein theorems for prequantum systems. We show that two prequantum systems on a manifold with vanishing first cohomology, with sy…