On the L2-torsion of the figure-of-eight knot complement

• Main Author: Teo, Joven Jia Xuan
• Other Authors: Andrew James Kricker
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2022
• Subjects: Science::Mathematics::Topology
• Online Access: https://hdl.handle.net/10356/156888
• Institution: Nanyang Technological University

For each prime p congruent to 1 modulo 6, we construct a cover of the figure-of-eight knot complement and describe its structure as a Z-CW-complex. We then state a conjecture relating the limit of the L2-torsion of these covers as p approaches infinity to the L2-torsion of the universal cover, which...