3–manifold invariants and periodicity of homology spheres

We show how the periodicity of a homology sphere is reflected in the Reshetikhin–Turaev–Witten invariants of the manifold. These yield a criterion for the periodicity of a homology sphere.

Keywords

$3$–manifolds, links, group actions, quantum invariants

Mathematical Subject Classification 2000

Primary: 57M60, 57M27

Secondary: 57M25, 57R56, 17B37

References

Forward citations

Publication

Received: 19 November 2001

Revised: 3 September 2002

Accepted: 6 September 2002

Published: 8 October 2002

Authors

Patrick M Gilmer
Department of Mathematics Louisiana State University Baton Rouge, LA 70803 USA

Joanna Kania-Bartoszynska
Department of Mathematics Boise State University Boise, ID 83725 USA

Jozef H Przytycki
Department of Mathematics George Washington University Washington, DC 20052 USA

Volume 2, issue 2 (2002)

Patrick M Gilmer, Joanna Kania-Bartoszynska and Jozef H Przytycki