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Zbl 0997.57031
Chbili, Nafaa
Les invariants $\theta_p$ des 3-variétés périodiques. (The $\theta_p$ invariants of periodic 3-manifolds). (French)
[J] Ann. Inst. Fourier 51, No.4, 1135-1150 (2001). ISSN 0373-0956; ISSN 1777-5310/e

The author computes $\theta_p$ invariants, introduced by {\it C. Blanchet, N. Habegger, G. Masbaum} and {\it P. Vogel} [Topology 31, No. 4, 685-699 (1992; Zbl 0771.57004)], for $r$-periodic 3-manifolds. Where an $r$-periodic 3-manifold means that the cyclic group $\Bbb{Z}/_{r\Bbb{Z}}$ acts differentially on the 3-manifold and the set of fixed points is a circle. This result shows that $\theta_p$ invariants are dependent on the geometry of the 3-manifolds.
[Vincent Blanloeil (Strasbourg)]

MSC 2000:: *57M50 Geometric structures on low-dimensional manifolds
57N10 Topology of general 3-manifolds
57M27 Invariants of knots and 3-manifolds
57M25 Knots and links in the 3-sphere

Keywords: periodic 3-manifold; periodic link; homology sphere; quantum invariants

Citations: Zbl 0839.57013; Zbl 0771.57004

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