Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665515 | Advances in Mathematics | 2015 | 24 Pages |
Abstract
Determining which bipartite graphs can be principal graphs of subfactors is an important and difficult question in subfactor theory. Using only planar algebra techniques, we prove a triple point obstruction which generalizes all known initial triple point obstructions to possible principal graphs. We also prove a similar quadruple point obstruction with the same technique. Using our obstructions, we eliminate some infinite families of possible principal graphs with initial triple and quadruple points which were a major hurdle in extending subfactor classification results above index 5.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
David Penneys,