Homologically thin, non-quasi-alternating links

Autores: Joshua Greene
Localización: Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 1, 2010, págs. 39-50
Idioma: inglés
DOI: 10.4310/mrl.2010.v17.n1.a4
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Resumen
- We exhibit the first examples of links which are homologically thin but not quasi-alternating. To show that they are not quasi-alternating, we argue that none of their branched double-covers bounds a negative definite 4-manifold with non-torsion $H_1$. Using this method, we also complete the determination of the quasi-alternating pretzel links.