-series and tails of colored Jones polynomials

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• 作者：Paul Beirne ^{paul.beirne@ucdconnect.ie} ; Robert Osburn ; ^{robert.osburn@ucd.ie}
• 关键词：qq-series identities ; Colored Jones polynomial ; Tails
• 刊名：Indagationes Mathematicae
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：28
• 期：1
• 页码：247-260
• 全文大小：304 K
• 卷排序：28

文摘

We extend the table of Garoufalidis, Lê and Zagier concerning conjectural Rogers–Ramanujan type identities for tails of colored Jones polynomials to all alternating knots up to 10 crossings. We then prove these new identities using qq-series techniques.