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

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Toshie Takata (Niigata University)

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The LMO invariant is expected to classify integral homology 3-spheres and it is a very strong invariant. In this talk, 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 best possible relations for Ohtsuki's invariants {��_i(M)} for i < 6. For any simple Lie algebra g, we also obtain best possible relations for perturbative Pg invariants {��^g_i(M)} for i < 3.

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http://www.sci.waseda.ac.jp/campus
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