Quadratic tangles in planar algebras

In planar algebras, we show how to project certain simple quadratic tangles onto the linear space spanned by linear and constant tangles. We obtain some corollaries about the principal graphs and annular structure of subfactors.

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Bibliographic Details
Published in:Duke mathematical journal 2012-09, Vol.161 (12), p.2257-2295
Main Author: Jones, Vaughan F. R.
Format: Article
Language:English
Subjects:
16T99
18D50
46L37
57M27
but in this section
Invariants of knots and 3-manifolds
None of the above
Operads [See also 55P48]
Subfactors and their classification
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Description
Summary:In planar algebras, we show how to project certain simple quadratic tangles onto the linear space spanned by linear and constant tangles. We obtain some corollaries about the principal graphs and annular structure of subfactors.
ISSN:0012-7094
1547-7398
DOI:10.1215/00127094-1723608