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Quadratic tangles in planar algebras. (English) Zbl 1257.46033
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.

MSC:
46L37 Subfactors and their classification
18D50 Operads (MSC2010)
16T99 Hopf algebras, quantum groups and related topics
57M27 Invariants of knots and \(3\)-manifolds (MSC2010)
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