Presentation and representation theorems for homotopy braid groups on surfaces

• Grant number: 11/22285-1
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: February 01, 2012
• End date: July 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Denise de Mattos
• Grantee: Juliana Roberta Theodoro de Lima
• Supervisor: Dale Rolfsen
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: University of British Columbia, Vancouver (UBC), Canada
• Associated to the scholarship: 10/10807-0 - Representation theorem for braid groups in surfaces, BP.DR

Abstract

The objective of this research project is to obtain a presentation for the homotopy groups of braids on surfaces; in the case of orientable surfaces with more than one board component and non orientable surfaces; and a representation theorem for the homotopy groups of braids on surfaces. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

THEODORO DE LIMA, JULIANA ROBERTA. Homotopy of braids on surfaces: Extending Goldsmith's answer to Artin. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v. 28, n. 12, OCT 2019. (11/22285-1)