论文标题
Khovanov多型是线性的
Khovanov multicurves are linear
论文作者
论文摘要
在以前的工作中，我们介绍了与Conway Tangles关联的Khovanov多重不变$ \ operatornemame {\ wideTilde {kh}} $。我们表明，从同源镜像对称性中应用想法，$ \ operatornemame {\ wideTilde {kh}} $受到强大的地理限制：不变的每个组件都是线性的，因为它承认在适当的平面封面中呈曲线同曲线的曲线同型曲线同型的旋转线。
In previous work we introduced a Khovanov multicurve invariant $\operatorname{\widetilde{Kh}}$ associated with Conway tangles. Applying ideas from homological mirror symmetry we show that $\operatorname{\widetilde{Kh}}$ is subject to strong geography restrictions: Every component of the invariant is linear, in the sense that it admits a lift to a curve homotopic to a straight line in an appropriate planar cover of the tangle boundary.
