## Slopes and colored Jones polynomials of adequate knots

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- by David Futer, Efstratia Kalfagianni and Jessica S. Purcell PDF
- Proc. Amer. Math. Soc.
**139**(2011), 1889-1896 Request permission

## Abstract:

Garoufalidis conjectured a relation between the boundary slopes of a knot and its colored Jones polynomials. According to the conjecture, certain boundary slopes are detected by the sequence of degrees of the colored Jones polynomials. We verify this conjecture for*adequate*knots, a class that vastly generalizes that of alternating knots.

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## Additional Information

**David Futer**- Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
- MR Author ID: 671567
- ORCID: 0000-0002-2595-6274
- Email: dfuter@temple.edu
**Efstratia Kalfagianni**- Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
- Email: kalfagia@math.msu.edu
**Jessica S. Purcell**- Affiliation: Department of Mathematics, Brigham Young University, Provo, Utah 84602
- MR Author ID: 807518
- ORCID: 0000-0002-0618-2840
- Email: jpurcell@math.byu.edu
- Received by editor(s): February 8, 2010
- Received by editor(s) in revised form: May 25, 2010
- Published electronically: October 29, 2010
- Additional Notes: The first author is supported in part by NSF grant DMS-1007221

The second author is supported in part by NSF grant DMS–0805942

The third author is supported in part by NSF grant DMS–0704359 - Communicated by: Daniel Ruberman
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**139**(2011), 1889-1896 - MSC (2010): Primary 57M25, 57M27
- DOI: https://doi.org/10.1090/S0002-9939-2010-10617-2
- MathSciNet review: 2763776