The Rasmussen invariants and the sharper slice-Bennequin inequality on knots

• Autores: Tomomi Kawamura
• Localización: Topology, ISSN 0040-9383, Vol. 46, Nº 1, 2007, págs. 29-38
• Idioma: inglés
• DOI: 10.1016/j.top.2006.10.001
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• Resumen

  • Rasmussen introduced a knot invariant based on Khovanov homology theory, and showed that this invariant estimates the four-genus of knots. We compare his result with the sharper slice-Bennequin inequality for knots. Then we obtain a similar estimate of the Rasmussen invariant for this inequality.