The Rasmussen invariants and the sharper slice-Bennequin inequality on knots |
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| Authors: | Tomomi Kawamura |
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| Institution: | Department of Physics and Mathematics, Aoyama Gakuin University, 5-10-1, Fuchinobe Sagamihara, Kanagawa 229-8558, Japan |
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| Abstract: | 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. |
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| Keywords: | Rasmussen invariant The sharper slice-Bennequin inequality Four-genus Oriented cobordism between links |
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