Values of the t-invariant for small Seifert manifolds

Details Values of the t-invariant for small Seifert manifolds Values of the t-invariant for small Seifert manifolds

2008-06-12

arxiv.org/abs/0806.2073v1

Mathematics

Geometric Topology

5 pages

Scientific paper

The t-invariant can be considered as the Turaev-Viro invariant of order 5 computed for integer colors only. We compute all values of the t-invariant for Seifert manifolds with base sphere and three singular fibers. As a result we show that the manifolds parameters modulo five define the value of the t-invariant. Partially we show that there are 12 distinct values of the t-invariant for these manifolds. Some examples show that the t-invariant for these manifolds is not defined by the first homology group.

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