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Integral invariants of 3-manifolds. II. (English) Zbl 1036.57500

Summary: This note is a sequel to our earlier paper of the same title [ibid. 48, 91–133 (1998; Zbl 0953.57008)] and describes invariants of rational homology 3-spheres associated to acyclic orthogonal local systems. Our work is in the spirit of the S. Axelrod and I. M. Singer papers [ibid. 39, 173–203 (1994; Zbl 0827.53057) and Differ Geom. Methods Theor. Phys., Proc. 20th Int. Conf. 1991, New York City, USA, 3–45 (1992; Zbl 0813.53051)], generalizes some of their results, and furnishes a new setting for the purely topological implications of their work.

MSC:

57M27 Invariants of knots and \(3\)-manifolds (MSC2010)
58J28 Eta-invariants, Chern-Simons invariants
81T45 Topological field theories in quantum mechanics
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