Mathematics > Geometric Topology
[Submitted on 12 Jun 2018 (v1), last revised 24 Jun 2018 (this version, v2)]
Title:Colored Jones polynomials without tails
View PDFAbstract:We exhibit an infinite family of knots with the property that the first coefficient of the n-colored Jones polynomial grows linearly with n. This shows that the concept of stability and tail seen in the colored Jones polynomials of alternating knots does not generalize naively.
Submission history
From: Roland van der Veen [view email][v1] Tue, 12 Jun 2018 14:45:36 UTC (74 KB)
[v2] Sun, 24 Jun 2018 18:30:35 UTC (100 KB)
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