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On the structure of braid groups on complexes

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Title
On the structure of braid groups on complexes
Author(s)
Byung Hee An; Hyo Won Park
Publication Date
2017-08
Journal
TOPOLOGY AND ITS APPLICATIONS, v.226, no., pp.86 - 119
Publisher
ELSEVIER SCIENCE BV
Abstract
We consider the braid group Bn(X) on a finite simplicial complex X, which is a generalization of those on both manifolds and graphs that have been studied already by many authors. We figure out the relationships between geometric decompositions for X and their effects on the braid groups. As applications, we give complete criteria for both the surface embeddability and planarity for X, which are the torsion-freeness of the braid group Bn(X) and its abelianization H1(Bn(X)), respectively. © 2017 Elsevier B.V. All rights reserved.
URI
https://pr.ibs.re.kr/handle/8788114/3647
ISSN
0166-8641
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
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