DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Jee-Hyoun | ko |
dc.contributor.author | Ko, Ki-Hyoung | ko |
dc.contributor.author | Park, Hyo-Won | ko |
dc.date.accessioned | 2013-03-09T17:24:32Z | - |
dc.date.available | 2013-03-09T17:24:32Z | - |
dc.date.created | 2012-04-03 | - |
dc.date.created | 2012-04-03 | - |
dc.date.issued | 2012-01 | - |
dc.identifier.citation | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.364, no.1, pp.309 - 360 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | http://hdl.handle.net/10203/96985 | - |
dc.description.abstract | We give a necessary and sufficient condition for a graph to have a right-angled Artin group as its braid group for braid index >= 5. In order to have the necessity part, graphs are organized into small classes so that one of the homological or cohomological characteristics of right-angled Artin groups can be applied. Finally we show that a given graph is planar if the first homology of its 2-braid group is torsion-free, and we leave the corresponding statement for n-braid groups as a conjecture along with a few other conjectures about graphs whose braid groups of index <= 4 are right-angled Artin groups. | - |
dc.language | English | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.subject | MORSE-THEORY | - |
dc.title | GRAPH BRAID GROUPS AND RIGHT-ANGLED ARTIN GROUPS | - |
dc.type | Article | - |
dc.identifier.wosid | 000299599400011 | - |
dc.identifier.scopusid | 2-s2.0-82755163136 | - |
dc.type.rims | ART | - |
dc.citation.volume | 364 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 309 | - |
dc.citation.endingpage | 360 | - |
dc.citation.publicationname | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.contributor.localauthor | Ko, Ki-Hyoung | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Braid group | - |
dc.subject.keywordAuthor | right-angled Artin group | - |
dc.subject.keywordAuthor | discrete Morse theory | - |
dc.subject.keywordAuthor | planar | - |
dc.subject.keywordAuthor | graph | - |
dc.subject.keywordPlus | MORSE-THEORY | - |
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