Khovanov's homology for tangles and cobordisms
Khovanov's homology for tangles and cobordisms
复制标题
缠结和配边的霍瓦诺夫同调
DOI：
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发表时间：
2004
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通讯作者：
D. Bar
中科院分区：
文献类型：
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作者：
D. Bar
我们对纽结和链环的Khovanov同调理论进行了新的介绍，特别强调了它对缠结、余弦和2-纽结的推广。由于停留在拓扑图的世界中的时间比其他关于这个主题的文章稍微长一点，所需的扩展本质上就变成了重言式。然后，对我们的图像简单地应用适当的函子(“TQFT”)，将它们带到我们熟悉的(分次)向量空间和普通同调不变量的复数领域。
We give a fresh introduction to the Khovanov Homology theory for knots and links, with special emphasis on its extension to tangles, cobordisms and 2-knots. By staying within a world of topological pictures a little longer than in other articles on the subject, the required extension becomes essentially tautological. And then a simple application of an appropriate functor (a "TQFT") to our pictures takes them to the familiar realm of complexes of (graded) vector spaces and ordinary homological invariants.