2008/06/12 by Mikhail Ovchinnikov, Ovchinnikov, Mikhail
Mathematics · #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M27
paper · pdf · doi:10.48550/arxiv.0806.2073
5 pages
arxiv created 2008/06/12 · arxiv updated 2009/12/01
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.