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

Lev Rozansky

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arXiv · hep-th/9401060

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

Lev Rozansky

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Abstract

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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Lev Rozansky. 1994-01-14. Witten's Invariant of 3-Dimensional Manifolds: Loop Expansion and Surgery Calculus. https://arxiv.org/abs/hep-th/9401060

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