Ontology type: schema:ScholarlyArticle Open Access: True
2012-12
AUTHORSAndrea Brini, Marcos Mariño, Bertrand Eynard
ABSTRACTWe propose a spectral curve describing torus knots and links in the B-model. In particular, the application of the topological recursion to this curve generates all their colored HOMFLY invariants. The curve is obtained by exploiting the full \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\rm Sl}(2, \mathbb {Z})}$$\end{document} symmetry of the spectral curve of the resolved conifold, and should be regarded as the mirror of the topological D-brane associated with torus knots in the large N Gopakumar–Vafa duality. Moreover, we derive the curve as the large N limit of the matrix model computing torus knot invariants. More... »
PAGES1873-1910
http://scigraph.springernature.com/pub.10.1007/s00023-012-0171-2
DOIhttp://dx.doi.org/10.1007/s00023-012-0171-2
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