Masakazu Teragaito

On asymmetric hyperbolic L-space knots of braid index four

A knot is called an L-space knot if it admits a positive Dehn surgery yielding an L-space. In the SnapPy census, there are exactly 9 asymmetric L-space knots. Among them, the knot t 12533 t12533 is the only known example of braid index 4 4 . We generalize this knot, and give the...

Every non-trivial knot group is fully residually perfect

Abstract Given a class script upper P <mml:math xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mnf="http://cambridge.org/core/manifest" xmlns:cup="http://contentservices.cambridge.org" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:m="http://cambridge.org/core/metadata" x...