论文标题

修复Khovanov同源性的功能:一种简单的方法

Fixing the functoriality of Khovanov homology: a simple approach

论文作者

Sano, Taketo

论文摘要

Khovanov的同源性可以在链接的链接方面发挥作用。符号不确定性已由几位作者确定,通过概念和代数扩展原始理论。在本文中,我们提出了一种替代方法:通过简单地调整与Reidemeister Moves和Morse移动相关的形态的迹象,我们将留在经典设置中并确定功能。

Khovanov homology is functorial up to sign with respect to link cobordisms. The sign indeterminacy has been fixed by several authors, by extending the original theory both conceptually and algebraically. In this paper we propose an alternative approach: we stay in the classical setup and fix the functoriality by simply adjusting the signs of the morphisms associated to the Reidemeister moves and the Morse moves.

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