On links with cyclotomic Jones polynomials

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We show that if {L_n} is any infinite sequence of links with twist number tau(L_n) and with cyclotomic Jones polynomials of increasing span, then lim sup tau(L_n)=infty. This implies that any infinite sequence of prime alternating links with cyclotomic Jones polynomials must have unbounded hyperbolic volume. The main tool is the multivariable twist--bracket polynomial, which generalizes the Kauffman bracket to link diagrams with open twist sites.
This is the version published by Algebraic & Geometric Topology on 14 October 2006

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Geometric Topology, 57M25, 26C10

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http://salesiana.dossiersoluciones.com/handle/123456789/228936

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605631
 http://arxiv.org/abs/math/0605631
 Algebr. Geom. Topol. 6 (2006) 1655-1668
 doi:10.2140/agt.2006.6.1655

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