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Extensions of the Tong-Yang-Ma representation

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Title
Extensions of the Tong-Yang-Ma representation
Author(s)
Arthur Soulie; Takano, Akihiro
Publication Date
2023-02
Journal
TOPOLOGY AND ITS APPLICATIONS, v.325
Publisher
ELSEVIER
Abstract
In 1996, Tong, Yang and Ma defined a family of representations of the braid group which have the same dimensions as the (unreduced) Burau representations but are not equivalent. The Burau representation was defined homologically and extended to the string links in several ways. In this paper, using the method of Silver and Williams, we extend the family of the Tong-Yang-Ma representations to the string links and welded string links. Moreover, we show that the kernels of these representations may be described using some linking numbers. Finally, we apply the Long-Moody construction to the Tong-Yang-Ma representations and study its first properties.(c) 2022 Elsevier B.V. All rights reserved.
URI
https://pr.ibs.re.kr/handle/8788114/13100
DOI
10.1016/j.topol.2022.108393
ISSN
0166-8641
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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