Brunnian braids over the 2-sphere and Artin combed form

• Main Authors: Duzhin, Fedor, Loh, Jessica Sher En
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2022
• Subjects: Science::Mathematics; Braid Groups; Homotopy Groups of Spheres
• Online Access: https://hdl.handle.net/10356/160042
• Institution: Nanyang Technological University

Finding homotopy group of spheres is an old open problem in topology. Berrick et al. derive in [A. J. Berrick, F. Cohen, Y. L. Wong and J. Wu, Configurations, braids, and homotopy groups, J. Amer. Math. Soc. 19 (2006)] an exact sequence that relates Brunnian braids to homotopy groups of spheres. We...