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On TQFT representations of mapping class groups with boundary

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 نشر من قبل Shuang Ming
 تاريخ النشر 2018
  مجال البحث
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We study the TQFT mapping class group representations for surfaces with boundary associated with the $SU(2)$ gauge group, or equivalently the quantum group $U_q(Sl(2))$. We show that at a prime root of unity, these representations are all irreducible. We also examine braid group representations for transcendental values of the quantum parameter, where we show that the image of every mapping class group is Zariski dense.



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