论文标题
Azumaya skein代数的基因座
Azumaya loci of skein algebras
论文作者
论文摘要
我们计算了固定根部的封闭表面的Kauffman-Gracket绞线代数的Azumaya基因座，并为开放表面提供部分结果。作为应用程序，我们给出了源自非毛囊TQFTS的Torelli群体的投射表示的替代定义，并加强了Frohman-Kania bartoszynska-lê的结果，内容涉及封闭3个manifolds的Skein模块的某些尺寸。
We compute the Azumaya loci of Kauffman-bracket skein algebras of closed surfaces at odd roots of unity and provide partial results for open surfaces as well. As applications, we give an alternative definition of the projective representations of the Torelli groups derived from non-semisimple TQFTs and we strengthen a result by Frohman-Kania Bartoszynska-Lê about the dimensions of some quotients of the skein modules of closed 3-manifolds.
