论文标题

reshetikhin- turaev和重新归一化的链接不变性之间的关系

Relations between Reshetikhin--Turaev and re-normalized link invariants

论文作者

Mori, Akihito

论文摘要

Costantino-geer- Patureau-Mirand证明了Reshetikhin-Turaev Link不变式与打结的重新分配链接之间的关系。他们的定理说,Reshetikhin-turaev link不变式给出了重新归一化链接不变的残留物。但是,在链接的情况下,残留物消失了,因此我们无法从残留物中获得任何关系。在本文中,我们证明了reshetikhin- turaev链接不变式以更高级别的链接链接的更高范围出现。

Costantino--Geer--Patureau-Mirand proved relations between the Reshetikhin--Turaev link invariants and the re-normalized link invariants for knots. Their theorem says that residues of the re-normalized link invariants are given by the Reshetikhin--Turaev link invariants. However, in the case of links, the residues are vanish, so we can not obtain any relations from the residues. In this paper, we prove that the Reshetikhin--Turaev link invariants appear in higher order terms of the re-normalized link invariants for links which are plumbed.

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