Graph 4-braid groups and Massey products

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We first show that the braid group over a graph topologically containing no Theta-shape subgraph has a presentation related only by commutators. Then using discrete Morse theory and triple Massey products, we prove that a graph topologically contains none of four prescribed graphs if and only if its 4-braid groups is a right-angled Artin group.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2016-01
Language
English
Article Type
Article
Keywords

ANGLED ARTIN GROUPS; BRAID-GROUPS; MORSE-THEORY

Citation

TOPOLOGY AND ITS APPLICATIONS, v.197, pp.133 - 153

ISSN
0166-8641
DOI
10.1016/j.topol.2015.10.010
URI
http://hdl.handle.net/10203/207732
Appears in Collection
MA-Journal Papers(저널논문)
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