兹雷杜科瓦内同调
Zredukowane homologie Khovanova
摘要:
从一开始的霍瓦诺夫同源性似乎是最重要的不变量的结;计算和理论的原因,这将是有益的操作减少版本的它-然而,定义给出的霍瓦诺夫似乎是不自然的意义上说,它需要选择的圈子在每一个决议的结图。我们提出了一个定义,概括了减少奇Khovanov同源定义的Rasmussen,Ozsvath和Szabo的情况下,Putyra的年代同源性,因此给出了一个简单而自然的方法来减少标准Khovanov同源。令人惊讶的是,这种构造也适用于虚拟结和链接。
英文摘要:
From the very beginning the Khovanov homology appears to be one of the most important invariant of knots; for computational and theoretical reasons it would be useful to operate with reduced version of it - nevertheless the definition given by Khovanov appears to be not natural in a sense that it requires choices of circles in every resolution of knot diagram. We propose a definition that generalizes the reduced odd Khovanov homology defined by Rasmussen, Ozsvath and Szabo to the case of Putyra's chronological homology and therefore gives a simple and natural way to reduce the standard Khovanov homology. Surprisingly the construction works as well for virtual knots and links.
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。