Autor:	Qazaqzeh, Khaled, Chbili, Nafaa
Rok vydání:	2024
Předmět:	Mathematics - Geometric Topology 57K10 57K14
Druh dokumentu:	Working Paper
Popis:	We show that a link is adequate if the breadth of its Jones polynomial equals the difference between its crossing number and its Turaev genus. Combining this result with its converse obtained by Abe [1, Theorem 3.2], we get a simple characterization of adequate links based on these numerical link invariants. As an application, we provide a simple obstruction for a link to be quasi-alternating. Moreover, we use this result to give a lower bound for the crossing number of some classes of links which would be very useful to determine the crossing number in certain cases. Comment: We have found a gap in one of the lemmas that was used to prove the main result
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.03463 Zobrazit plný text záznamu View this record from Arxiv