Geometric prequantization on the path space of a prequantized manifold
- 27 February 2015
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Geometric Methods in Modern Physics
- Vol. 12 (3)
- https://doi.org/10.1142/s0219887815500309
Abstract
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.Keywords
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