论文标题
Khovanov同源性的双曲线结和扭转
Hyperbolic Knots and Torsion in Khovanov Homology
论文作者
论文摘要
在此注释中，我们表明，如果$ s^3 $中有一个结，其Khovanov同源性具有$ \ MATHBB {Z} _M $ TORSION，那么有许多无限的双曲线和无限的多颗卫星结，具有$ \ Mathbb {Z} _mm $ $ $ porsion在Khovanovanov Homerology中。作为一个应用程序，我们在其Khovanov同源性中为双曲线结和链接的第一个已知示例和链接。
In this note, we show that if there is a knot in $S^3$ having $\mathbb{Z}_m$ torsion in its Khovanov homology, then there are infinitely many hyperbolic knots and infinitely many prime satellite knots having $\mathbb{Z}_m$ torsion in their Khovanov homology. As an application, we give the first known examples of hyperbolic knots and links with odd (and other non-$\mathbb{Z}_2$ torsion) in their Khovanov homology.
