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Constructing spoke subfactors using the jellyfish algorithm

arXiv:1208.3637 · doi:10.1090/S0002-9947-2014-06109-6

Abstract

Using Jones' quadratic tangles formulas, we automate the construction of the 4442, 3333, 3311, and 2221 spoke subfactors by finding sets of 1-strand jellyfish generators. The 4442 spoke subfactor is new, and the 3333, 3311, and 2221 spoke subfactors were previously known.

44 pages, many figures, to appear in Transactions of the American Mathematical Society