论文标题

2 handlebodies的绞线烤宽面条模块

Skein lasagna modules for 2-handlebodies

论文作者

Manolescu, Ciprian, Neithalath, Ikshu

论文摘要

莫里森(Morrison),沃克(Walker)和韦德里奇(Wedrich)使用斑点复合综合体构建了Khovanov-Rozansky同源性的概括,以在4个Manifold的边界中链接。其理论的零部分(称为Kkein Lasagna模块)在4个manifold中的某些图中接受了基本定义。我们对无1个手柄和3个手柄的4个manifolds的Skein Lasagna模块进行了描述,并提供了$ s^2 $的磁盘捆绑包的一些明确计算。

Morrison, Walker, and Wedrich used the blob complex to construct a generalization of Khovanov-Rozansky homology to links in the boundary of a 4-manifold. The degree zero part of their theory, called the skein lasagna module, admits an elementary definition in terms of certain diagrams in the 4-manifold. We give a description of the skein lasagna module for 4-manifolds without 1- and 3-handles, and present some explicit calculations for disk bundles over $S^2$.

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