Witten's Invariant of 3-Dimensional Manifolds: Loop Expansion and Surgery Calculus

Details Witten's Invariant of 3-Dimensional Manifolds: Loop Expansion and Surgery Calculus Witten's Invariant of 3-Dimensional Manifolds: Loop Expansion and Surgery Calculus

1994-01-14

arxiv.org/abs/hep-th/9401060v2

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, "\draft" declaration has been removed

Scientific paper

We review two different methods of calculating Witten's invariant: a stationary phase approximation and a surgery calculus. We give a detailed description of the 1-loop approximation formula for Witten's invariant and of the technics involved in deriving its exact value through a surgery construction of a manifold. Finally we compare the formulas produced by both methods for a 3-dimensional sphere S^3 and a lens space L(p,1).

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