论文标题
正常表面和彩色khovanov同源性
Normal surfaces and colored Khovanov homology
论文作者
论文摘要
我们表明,彩色的Khovanov同源性检测基本表面类别是彩色琼斯多项式的斜率猜想的直接类似物。我们通过使用图中的理想三角剖分在结中识别有色的Khovanov链复合物的某些发电机,并具有正常表面。
We show that colored Khovanov homology detects classes of essential surfaces as a direct analogue of the slope conjectures for the colored Jones polynomial. We do this by identifying certain generators of the colored Khovanov chain complex with normal surfaces in the complement of the knot using an ideal triangulation from a diagram.