On the set of the logarithm of the LMO invariant for integral homology 3-spheres

• Autores: Toshie Takata
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 145, Nº 2, 2008, págs. 349-361
• Idioma: inglés
• DOI: 10.1017/s030500410800145x
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• Resumen

  • The LMO invariant is a very strong invariant such that it is expected to classify integral homology 3-spheres. In this paper we identify the set of the degree = 6 parts of the logarithm of the LMO invariant for integral homology 3-spheres. As an application, we obtain a complete set of relations which characterize the set of Ohtsuki's invariants {?i(M)} for i = 6. For any simple Lie algebra , we also obtain a complete set of relations which characterize the set of perturbative P invariants {(M)} for i = 3.