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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
- Subject
- Braid groups, A complex of groups, Planar embedding
- Publication Date
- 2017-08
- Journal
- TOPOLOGY AND ITS APPLICATIONS, v.226, 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.
- ISSN
- 0166-8641
- Appears in Collections:
- Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
- Files in This Item:
- 2017_BHA_On the structure of braid groups on complexes.pdfDownload
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