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Doctoral Thesis
DOI
10.11606/T.55.2016.tde-28042015-155522
Document
Author
Full name
Juliana Roberta Theodoro de Lima
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2014
Supervisor
Committee
Mattos, Denise de (President)
Clay, Adam Joseph
Libardi, Alice Kimie Miwa
Melo, Thiago de
Pergher, Pedro Luiz Queiroz
Title in English
Ordering homotopy string links over surfaces and a presentation for the generalized string links over surfaces
Keywords in English
Homotopy generalized string links
Homotopy string links
Ordering homotopy string links over surfaces
Presentation for the homotopy generalized string over surfaces
Abstract in English
In this work, we prove that the set of link-homotopy classes of generalized string links over a closed, connected and orientable surface M of genus g ≥ 1 form a group, denoted by Bn(M) and we find a presentation for it. Moreover, we prove that its normal subgroup PBnn(M), namely, the homotopy string links over M, is bi-orderable. These results extend results proved by Juan GonzalezMeneses in [GM], [GM2] and Ekaterina Yurasovskaya in [Y], respectively. Also, we obtain an exact sequence for link-homotopy braid groups, which is an extension of [Go, Theorem 1].
Title in Portuguese
Ordenando os grupos de homotopia de enlaçamentos de intervalos em supefícies e uma apresentação para os grupos de homotopia de enlaçamentos de intervalos em superfícies
Keywords in Portuguese
Apresentação para os grupos de homotopia de enlaçamentos de intervalos generalizados
Enlaçamentos de intervalos
Enlaçamentos de intervalos generalizados
Ordenando grupos de homotopia de enlaçamentos de intervalos
Abstract in Portuguese
Sem resumo
 
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Publishing Date
2016-11-10
 
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