On the TQFT representations of the mapping class groups

Details On the TQFT representations of the mapping class groups On the TQFT representations of the mapping class groups

1998-04-08

arxiv.org/abs/math/9804047v1

Mathematics

Geometric Topology

21 pages, 6 eps figures, Latex figures (to appear Pacific.J.Math.)

Scientific paper

We prove that the image of the mapping class group by the representations
arising in the SU(2)-TQFT is infinite, provided that the genus is bigger than 2
and the level r of the theory is different from 2,3,4,6. In particular the
quotient of the mapping class group by the normaizer of the r-th power of a
Dehn twist is infinite if the genus is at least 3 and r is bigger than 12.

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