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Stability properties of the colored Jones polynomial
- Publication Year :
- 2014
-
Abstract
- It is known that the colored Jones polynomial of a $+$-adequate link has a well-defined tail consisting of stable coefficients, and that the coefficients of the tail carry geometric and topological information on the $+$-adequate link complement. We show that a power series similar to the tail of the colored Jones polynomial for $+$-adequate links can be defined for $all$ links, and that it is trivial if and only if the link is non $+$-adequate.<br />Comment: 17 pages, 11 figures. Substantially shortened and revised with a new proof for journal publication
- Subjects :
- Mathematics - Geometric Topology
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1409.4457
- Document Type :
- Working Paper