Colored knot polynomials for arbitrary pretzel knots and links

A very simple expression is conjectured for arbitrary colored Jones and HOMFLY polynomials of a rich (g+1)-parametric family of pretzel knots and links. The answer for the Jones and HOMFLY is fully and explicitly expressed through the Racah matrix of Uq(SUN), and looks related to a modular transform...

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Veröffentlicht in:	Physics letters. B 2015-04, Vol.743 (C), p.71-74
Hauptverfasser:	Galakhov, D., Melnikov, D., Mironov, A., Morozov, A., Sleptsov, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	MATHEMATICS AND COMPUTING
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A very simple expression is conjectured for arbitrary colored Jones and HOMFLY polynomials of a rich (g+1)-parametric family of pretzel knots and links. The answer for the Jones and HOMFLY is fully and explicitly expressed through the Racah matrix of Uq(SUN), and looks related to a modular transformation of toric conformal block.
ISSN:	0370-2693 1873-2445
DOI:	10.1016/j.physletb.2015.02.029