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arXiv 1505.04545math.ATmath.GT
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Khovanov同调的泛函性

Functoriality of Khovanov homology

Pierre Vogel

摘要:

在本文中,我们证明了与秩为$2$的Frobenius代数相关联的每个Khovanov同调都可以以这样的方式修改,即在定向链环上产生TQFT,即从定向链环的协边范畴到复形同伦范畴的monoidal函子。

英文摘要:

In this paper we prove that every Khovanov homology associated to a Frobenius algebra of rank $2$ can be modified in such a way as to produce a TQFT on oriented links, that is a monoidal functor from the category of cobordisms of oriented links to the homotopy category of complexes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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