A Mathematical Definition of Path Integrals on Symplectic Manifolds
Abstract
We give a mathematical definition of some path integrals, emphasizing those relevant to the quantization of symplectic manifolds (and more generally, Poisson manifolds) x2013 in particular, the coherent state path integral. We show that K\"ahler manifolds provide many computable examples and we emphasize those whose Bergman kernel is constant along the diagonal.
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