Partition Function of a Quadratic Functional and Semiclassical Approximation for Witten's 3-Manifold Invariant

摘要: An extension of the method and results A. Schwarz for evaluating partition function a quadratic functional is presented. This enables functions to be evaluated wide class functionals interest in topological quantum field theory, which no other has previously been available. In particular it appearing semiclassical approximation Witten-invariant most general case. The resulting k-dependence precisely that conjectured by D. Freed R. Gompf.