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arXiv 1406.6499math.GTmath.CO
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分配同调的进展:从有根树的q-多项式到Yang-Baxter同调

Progress in distributive homology: from q-polynomial of rooted trees to Yang-Baxter homology

Jozef H. Przytycki

摘要:

这是在Oberwolfach研讨会“低维拓扑中的代数结构”,2014年5月25日至5月31日的演讲的扩展摘要。我的目标是描述2012年6月3日至6月9日Oberwolfach研讨会上在分配同调方面的进展,特别是我在Yang-Baxter同调方面的工作;然而,我集中在我最近发现的有根树的q-多项式上;我的演讲的合适主题是在2014年5月30日,琼斯多项式的30周年纪念日,多项式的根源在于考夫曼括号方法。

英文摘要:

This is an extended abstract of the talk given at the Oberwolfach Workshop "Algebraic Structures in Low-Dimensional Topology", 25 May -- 31 May 2014. My goal was to describe progress in distributive homology from the previous Oberwolfach Workshop June 3 - June 9, 2012, in particular my work on Yang-Baxter homology; however I concentrated my talk on my recent discovery of q-polynomial of a rooted tree; the appropriate topic as my talk was on May 30, 2014, the 30 anniversary of the Jones polynomial, and the polynomial has its roots in the Kauffman bracket approach to the Jones polynomial.

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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