SUBFACTORS OF INDEX LESS THAN 5, PART 2: TRIPLE POINTS
SUBFACTORS OF INDEX LESS THAN 5, PART 2: TRIPLE POINTS
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小于 5 的指数子因子，第 2 部分：三重点
DOI：
10.1142/s0129167x11007586
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发表时间：
2010
影响因子：
0.6
通讯作者：
Noah Snyder
中科院分区：
文献类型：
--
作者：
S. Morrison;David Penneys;E. Peters;Noah Snyder
我们总结了以三点开始的主图对子因子的已知障碍。一种是基于琼斯的二次缠结技术，尽管我们以一种新颖的方式应用了它。另外两个是基于连接技术的；一个是由于Ocneanu，另一个是以前未发表的，尽管可能是Haagerup知道的。然后，我们将这些障碍应用到指数小于5的子因子的分类中。特别地，我们排除了S.Morison和N.Snyder在分类中的五族可能的主图中的三族，即指数小于5的子因子，第一部分：主图里程表，出现在Comm中。数学课。太棒了。
We summarize the known obstructions to subfactors with principal graphs which begin with a triple point. One is based on Jones's quadratic tangles techniques, although we apply it in a novel way. The other two are based on connections techniques; one due to Ocneanu, and the other previously unpublished, although likely known to Haagerup. We then apply these obstructions to the classification of subfactors with index below 5. In particular, we eliminate three of the five families of possible principal graphs called "weeds" in the classification from S. Morrison and N. Snyder, Subfactors of index less than 5, part 1: the principal graph odometer, to appear in Comm. Math. Phys.