knot invariants from virasoro related representation and pretzel knots

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ID: 195302
2015
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Abstract
We remind the method to calculate colored Jones polynomials for the plat representations of knot diagrams from the knowledge of modular transformation (monodromies) of Virasoro conformal blocks with insertions of degenerate fields. As an illustration we use a rich family of pretzel knots, lying on a surface of arbitrary genus g, which was recently analyzed by the evolution method. Further generalizations can be to generic Virasoro modular transformations, provided by integral kernels, which can lead to the Hikami invariants.
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galakhov2015nuclearknot Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;D. Galakhov;D. Melnikov;A. Mironov;A. Morozov
Journal biology and fertility of soils
Year 2015
DOI
10.1016/j.nuclphysb.2015.07.035
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