A Large k Asymptotics of Witten's Invariant of Seifert Manifolds

Details A Large k Asymptotics of Witten's Invariant of Seifert Manifolds A Large k Asymptotics of Witten's Invariant of Seifert Manifolds

1993-03-17

arxiv.org/abs/hep-th/9303099v4

Commun.Math.Phys.171:279-322,1995

Physics

High Energy Physics

High Energy Physics - Theory

51 pages (Some changes are made to the Discussion section. A surgery formula for perturbative corrections to the contribution

Scientific paper

10.1007/BF02099272

We calculate a large $k$ asymptotic expansion of the exact surgery formula for Witten's $SU(2)$ invariant of Seifert manifolds. The contributions of all flat connections are identified. An agreement with the 1-loop formula is checked. A contribution of the irreducible connections appears to contain only a finite number of terms in the asymptotic series. A 2-loop correction to the contribution of the trivial connection is found to be proportional to Casson's invariant.

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