论文标题
捆绑的单型
Tied Monoids
论文作者
论文摘要
我们构建某些称为绑定的单型肌体。这些单体结果是有限呈现的半领产品，通常由辫子群及其亲戚作用于固定分区的单体。我们的单体性质表明，它们应该起源于新的结代代数。的确，我们的绑扎的单体包括绑定的辫子单体和绑定的奇异辫子单体，它们分别用于构建用于经典链接和奇异链接的新多项式不变性。因此，我们提供了一种将代数附加到每个绑定的单体绑定的机制。为了构建绑定的单体，有必要对A，B和D型的固定分区进行演示。对于A型，我们使用菲茨杰拉德（Fitzgerald）引起的演示文稿，而对于其他类型，则有必要构建它们。
We construct certain monoids, called tied monoids. These monoids result to be semidirect products finitely presented and commonly built from braid groups and their relatives acting on monoids of set partitions. The nature of our monoids indicate that they should give origin to new knot algebras; indeed, our tied monoids include the tied braid monoid and the tied singular braid monoid, which were used, respectively, to construct new polynomial invariants for classical links and singular links. Consequently, we provide a mechanism to attach an algebra to each tied monoid. To build the tied monoids it is necessary to have presentations of set partition monoids of types A, B and D, among others. For type A we use a presentation due to FitzGerald and for the other type it was necessary to built them.
