Perturbative invariant of Seifert fibered rational homology spheres associated with trivial first cohomology class
✍ Scribed by Chifumi Sato
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 171 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0166-8641
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✦ Synopsis
In this paper, we shall give a general formula for the quantum SU(2)-invariant of Seifert fibered rational homology spheres over a 2-sphere associated with the trivial first cohomology class modulo two, based on the linear skein theory. We shall derive the Casson-Walker invariant from the formula. Also, we shall give a formula for a second coefficient of the perturbative invariant associated with the trivial first cohomology class modulo two, which is a topological invariant. We shall give a relation between the second coefficient and the Ohtsuki invariant. We shall show that the second coefficient for Seifert fibered integral homology spheres belongs to 3Z.