论文标题
比较本内金型不平等
Comparing Bennequin-type inequalities
论文作者
论文摘要
切片 - 苯甲喹不等式在其四球属方面指出了一个结的上限。 $ s $ - 本涅昆和$τ$ -Bennequin的不平等现象可根据Rasmussen $ s $不变性和Ozsváth-Szabó$τ$不变的自我链接数量的上限。我们展示了示例，其中自链数和四球属之间的差异是任意大的，而$ s $ $ bennequin不平等和$τ$ -Bennequin不平等的差异都很尖锐。
The slice-Bennequin inequality states an upper bound for the self-linking number of a knot in terms of its four-ball genus. The $s$-Bennequin and $τ$-Bennequin inequalities provide upper bounds on the self-linking number of a knot in terms of the Rasmussen $s$ invariant and the Ozsváth-Szabó $τ$ invariant. We exhibit examples in which the difference between self-linking number and four-ball genus grows arbitrarily large, whereas the $s$-Bennequin inequality and the $τ$-Bennequin inequality are both sharp.
