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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

   
 

 

Constructing spoke subfactors using the jellyfish algorithm


Authors: Scott Morrison and David Penneys
Journal: Trans. Amer. Math. Soc. 367 (2015), 3257-3298
MSC (2010): Primary 18D10, 46L37
DOI: https://doi.org/10.1090/S0002-9947-2014-06109-6
Published electronically: October 10, 2014
MathSciNet review: 3314808
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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. This is the published version of arXiv:1208.3637.


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Additional Information

Scott Morrison
Affiliation: Mathematical Sciences Institute, Australian National University, Canberra ACT 2601, Australia

David Penneys
Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 2E4
Address at time of publication: Department of Mathematics, University of California, Los Angeles, California 90095

DOI: https://doi.org/10.1090/S0002-9947-2014-06109-6
Received by editor(s): October 15, 2012
Received by editor(s) in revised form: February 14, 2013
Published electronically: October 10, 2014
Article copyright: © Copyright 2014 by the authors