Ordering homotopy string links over surfaces

Author(s)

Theodoro de Lima, Juliana R. ^[1] ; de Mattos, Denise ^[1]

Affiliation

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat, Ave Trabalhador Saocarlense 400, BR-13566590 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS; v. 25, n. 1 JAN 2016.
• Web of Science Citations: 0

Abstract

Let M be a closed, connected and oriented surface of genus g >= 1. In this work, we prove that the homotopy string links over M, namely, (PBn) over cap (M), are bi-orderable, i.e. there is an (explicit) left and right order for such group. (AU)

• FAPESP's process: 14/08088-7 - Orderability theory for braid groups over surfaces and for Link-Homotopy generalized String-Links over surfaces. Representation theorem for the Link-Homotopy generalized String-Links over surfaces
• Grantee: Juliana Roberta Theodoro de Lima
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• 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
• FAPESP's process: 13/24845-0 - On Lusternik-Schnirelmann category, ideal-value genus and global classification of isolated singularities
• Grantee: Denise de Mattos
• Support Opportunities: Regular Research Grants
• FAPESP's process: 12/24454-8 - Algebraic, geometric and differential topology
• Grantee: Daciberg Lima Gonçalves
• Support Opportunities: Research Projects - Thematic Grants