标题： 齐次链环的切片克伦威尔不等式 显示英文标题

标题： A slice Cromwell inequality of homogeneous links

摘要： Cromwell证明了齐次链环$L$的HOMFLY多项式的最小$v$-度被$1-\chi(L)$上界限制，其中$\chi(L)$是$L$的Seifert曲面的最大欧拉特征数。 我们证明了它的切片版本，指出同质链环$L$的 HOMFLY 多项式的最小$v$次数被$1-\chi_4(L)$上界限制，这是$L$的最大四维欧拉特征数。 作为副产品，我们证明了 Stoimenow 的一个猜想，即对于交替链环，HOMFLY 多项式的最小$v$次数小于或等于它的签名。 显示英文摘要

摘要： Cromwell proved that the minimum $v$-degree of the HOMFLY polynomial of homogeneous link $L$ is bounded above by $1-\chi(L)$, where $\chi(L)$ is the maximum Euler characteristic of Seifert surfaces of $L$. We prove its slice version, stating that the minimum $v$-degree of the HOMFLY polynomial of homogeneous link $L$ is bounded above by $1-\chi_4(L)$, the maximum 4-dimensional Euler characteristic of $L$. As a byproduct, we prove a conjecture of Stoimenow that for an alternating link, the minimum $v$-degree of the HOMFLY polynomial is smaller than or equal to its signature.