Surface braid groups

• Main Author: Loh, Jessica Sher En
• Other Authors: Fedor Duzhin
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2019
• Subjects: Science::Mathematics; Science::Mathematics::Topology
• Online Access: https://hdl.handle.net/10356/136492
• Institution: Nanyang Technological University

This project explored the solution to the word problem of braids over the 2-sphere as presented in [15, Theorem 3.1], in the hopes that it can be related to Brunnian braids and homotopy groups of spheres as introduced via the exact sequence in [10, Theorem 1.2]. It describes the process of Artin com...