25 citations · 134 across the 30 of their papers we have counts for
32 papers
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.…
Reflection Positivity and Chern-Simons Functional Integrals
Jonathan Weitsman
We show that a mathematical version of the formal Chern-Simons functional integral of Witten for manifolds equipped with a reflection may be constructed in terms of a reflection po…
The Chern-Simons Functional Integral, Kauffman's Bracket Polynomial, and other link invariants
Jonathan Weitsman
We study Chern-Simons Gauge Theory in axial gauge on This theory has a quadratic Lagrangian and therefore expectations can be computed nonperturbatively by explici…
On deformation quantization of the space of connections on a two manifold and Chern Simons Gauge Theory
Jonathan Weitsman
We use recent progress on Chern-Simons gauge theory in three dimensions [18] to give explicit, closed form formulas for the star product on some functions on the affine space ${\ma…
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…
The double Gelfand-Cetlin system, invariance of polarization, and the Peter-Weyl theorem
Peter Crooks, Jonathan Weitsman
The bundle map provides a real polarization of the cotangent bundle , a…