An unoriented skein exact triangle for knot Floer homology

• Autores: Ciprian Manolescu
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 5, 2007, págs. 829-852
• Idioma: inglés
• DOI: 10.4310/mrl.2007.v14.n5.a11
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• Resumen

  • Given a crossing in a planar diagram of a link in the three-sphere, we show that the knot Floer homologies of the link and its two resolutions at that crossing are related by an exact triangle. As a consequence, we deduce that for any quasi-alternating link, the total rank of its knot Floer homology is equal to the determinant of the link.