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3–manifold invariants and
periodicity of homology spheres
Patrick M Gilmer, Joanna Kania-Bartoszynska and Jozef H Przytycki |
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Algebraic & Geometric Topology 2 (2002) 825–842
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arXiv: math.GT/9807011 |
Abstract |
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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
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Mathematical Subject Classification 2000
Primary: 57M60, 57M27
Secondary: 57M25, 57R56, 17B37
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References |
Forward citations |
Publication
Received: 19 November 2001
Revised: 3 September 2002
Accepted: 6 September 2002
Published: 8 October 2002
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Authors |
| Patrick M Gilmer | |
| Department of Mathematics Louisiana State University Baton Rouge, LA 70803 USA |
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| Joanna Kania-Bartoszynska | |
| Department of Mathematics Boise State University Boise, ID 83725 USA |
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| Jozef H Przytycki | |
| Department of Mathematics George Washington University Washington, DC 20052 USA |
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