Geometric prequantization on the path space of a prequantized manifold
  Given a compact symplectic manifold $M$, with integral symplectic form, we prequantize a certain class of functions on the path space for $M$. The functions in question are induced by functions on $M$. We apply our construction to study the symplectic structure on the solution space of Klein-Gordon equation. 
Indranil Biswas, Saikat Chatterjee, Rukmini Dey
math.DG math-ph math.MP quant-ph