The Nielsen-Thurston classification of mapping classes is determined by TQFT
The Nielsen-Thurston classification of mapping classes is determined by TQFT
复制标题
映射类的 Nielsen-Thurston 分类由 TQFT 确定
DOI：
--
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
J. Andersen
中科院分区：
文献类型：
--
作者：
J. Andersen
对于每一个固定的n>=2，我们展示了当考虑所有能级时，亏格g>=2的闭曲面的映射类的Nielsen-Thurston分类如何由量子SU（n）表示的序列确定。这种情况是我们的渐近忠实性的一个结果。我们在这里提供明确的条件下的图像在这些表示，这决定了Nielsen-Thurston类型的任何映射类。
For each fixed n>=2 we show how the Nielsen-Thurston classification of mapping classes for a closed surface of genus g>=2 is determined by the sequence of quantum SU(n) representations, when one considers all levels. That this is the case is a consequence of our asymptotic faithfulness property. We here provide explicit conditions on the image under these representations, which determines the Nielsen-Thurston type of any mapping class.