Abstract
We derive the largek asymptotics of the surgery formula forSU(2) Witten's invariants of general Seifert manifolds. The contributions of connected components of the moduli space of flat connections are identified. The contributions of irreducible connections are presented in the residue form. This allows us to express them in terms of intersection numbers on their moduli spaces.
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Witten, E.: Commun. Math. Phys.121, 351 (1989)
Jeffrey, L.: Commun. Math. Phys.147, 563 (1992)
Reshetikhin, N., Turaev, V.: Invent. Math.103, 547 (1991)
Freed, D., Gompf, R.: Commun. Math. Phys.141, 79 (1991)
Rozansky, L.: A Largek Asymptotics of Witten's Invariant of Seifert Manifolds. Commun. Math. Phys.171, 279–322 (1995)
Axelrod, S., Singer, I.: Chern-Simons Perturbation Theory. Proceedings of XXth Conference on Differential Geometric Methods in Physics, Baruch College, C.U.N.Y., NY, NY
Bar-Natan, D.: Perturbative Chern-Simons Theory. Princeton Preprint, August 23, 1990
Witten, E.: J. Geom. Phys.9, 303 (1992)
Jeffrey, L., Kirwan, R.: Localization for Nonabelian Group Actions. Preprint, June 1993, (to be published in Topology)
Szenes, A.: The Combinatorics, of the Verlinde Formulas. Preprint, alg-geom/9402003
Witten, E.: Commun. Math. Phys.141, 153 (1991)
Szenes, A.: Topology32, 587 (1993)
Bertram, A., Szenes, A.: Topology32, 599 (1993)
Blau, M., Thompson, R.: Equivariant Kähler Geometry and Localization in theG/G Model. Preprint IC/94/108, ENSLAPP-L-469/94, June 1994
Rozansky, L.: A Contribution of the Trivial Connection to the Jones Polynomial and Witten's Invariant of 3d Manifolds I. Preprint UMTG-172-93, UTTG-30-93, hep-th/9401061
Andersen, J.: The Witten Invariant of Finite Order Mapping Tori I. Preprint Aarhus Universitet, Matematisk Institut, May 1995, Preprint series 1995, No. 13
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Communicated by G. Felder
Address after September 25: L. Rozansky, School of Mathematics, Institute for Advanced Study, Princeton, N.J. 08540, USA.
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Rozansky, L. Residue formulas for the largek asymptotics of Witten's invariants of Seifert manifolds. The case ofSU(2). Commun.Math. Phys. 178, 27–60 (1996). https://doi.org/10.1007/BF02104907
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DOI: https://doi.org/10.1007/BF02104907