Abstract
This note is a sequel to our earlier paper of the same title [4] and describes invariants of rational homology 3-spheres associated to acyclic orthogonal local systems. Our work is in the spirit of the Axelrod–Singer papers [1], generalizes some of their results, and furnishes a new setting for the purely topological implications of their work.
References
[1] S. Axelrod & I. M. Singer, Chern—Simons perturbation theory, Proc. XXth DGM Conference, (eds. S. Catto and A. Rocha), World Scientific, Singapore, 1992, 3- 45
[2] Chern—Simons pe1iurbation theory. II, J. Differential Geom. 39 (1994) 173-213.
[3] D. Bar-Natan, On the Vassiliev knot invariants, Topology 34 (1995) 423-472.
[4] D. Bar-Nat.an, S. Garoufalidis, L. Rozansky & D. P. Thurston, The Ă…rhus invariant of rational homology 3-spheres: A highly nontrivial fiat connection on S 3, q-alg/9706004.
[5] R. Bott & A. S. Cattaneo, Integral invariants of 3-manifolds, J. Differential Geom. 48 (1998) 91-133.
[6] T. Q. T. Le, J. Murakami & T. Ohtsuki, On a unive1·sal quantum invariant of 3-manifolds, q-alg/9512002, to appear in Topology.
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Bott, R., Cattaneo, A.S., Tu, L.W. (2017). [114] Integral Invariants of 3-Manifolds, II. In: Tu, L. (eds) Raoul Bott: Collected Papers . Contemporary Mathematicians. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-51781-0_37
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