Witten's Invariant of 3-Dimensional Manifolds: Loop Expansion and Surgery Calculus
High Energy Physics - Theory
2008-02-03 v2 Quantum Algebra
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).
Keywords
Cite
@article{arxiv.hep-th/9401060,
title = {Witten's Invariant of 3-Dimensional Manifolds: Loop Expansion and Surgery Calculus},
author = {Lev Rozansky},
journal= {arXiv preprint arXiv:hep-th/9401060},
year = {2008}
}
Comments
29 pages, "\draft" declaration has been removed