Gaps in the jones polynomials
Nafaa Chbili10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY
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Abstract
The Jones polynomial of an alternating link is known to have no gap of length greater than 1. This result extends to quasi-alternating links as well. Our purpose is to study the structure, in particular the number of gaps, of the Jones polynomial of an arbitrary link with the ultimate aim of characterizing Laurent polynomials which arise as the Jones polynomial of a link.
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