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| Author(s): |
Juliana Roberta Theodoro de Lima
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2014-10-13 |
| Examining board members: |
Denise de Mattos;
Adam Joseph Clay;
Alice Kimie Miwa Libardi;
Thiago de Melo;
Pedro Luiz Queiroz Pergher
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| Advisor: | Denise de Mattos; Dale Rolfsen |
| Abstract | |
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]. (AU) | |
| FAPESP's process: | 10/10807-0 - Representation theorem for braid groups in surfaces |
| Grantee: | Juliana Roberta Theodoro de Lima |
| Support Opportunities: | Scholarships in Brazil - Doctorate |