论文标题
缠结的缠结同源
Winding homology of knotoids
论文作者
论文摘要
Turaev V. Turaev引入了打结，作为概括结的开开结型图。 Turaev定义了一个两变量多项式的结合体，该多项式不变，其中涵盖了琼斯结对结的概括。我们定义了一个分别为turaev多项式（称为绕组同源性）的结节的三个阶层同源性不变。忘记了三个等级之一给出了Khovanov结的概括性。
Knotoids were introduced by V. Turaev as open-ended knot-type diagrams that generalize knots. Turaev defined a two-variable polynomial invariant of knotoids which encompasses a generalization of the Jones knot polynomial to knotoids. We define a triply-graded homological invariant of knotoids categorifying the Turaev polynomial, called winding homology. Forgetting one of the three gradings gives a generalization of the Khovanov knot homology to knotoids.
