Knot invariants from Virasoro related representation and pretzel knots
Journal Article
·
· Nuclear Physics. B
In this study, 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.
- Research Organization:
- Rutgers Univ., Piscataway, NJ (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- SC0010008; ARRA-SC0003883; SC0007897; SC0003883
- OSTI ID:
- 1209581
- Alternate ID(s):
- OSTI ID: 1240267
- Journal Information:
- Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 899 Journal Issue: C; ISSN 0550-3213
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- Netherlands
- Language:
- English
Cited by: 26 works
Citation information provided by
Web of Science
Web of Science
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