24 citations · 89 across the 46 of their papers we have counts for
52 papers
Asymmetric L-space knots with arbitrary braid index
Keisuke Himeno, Masakazu Teragaito
The first examples of asymmetric L-space knots were found by Baker and Luecke. Among Baker-Luecke knots, the simplest one has braid index 12. Later, it turned out that there are ju…
An infinite family of strongly invertible L-space knots without Khovanov thin surgery
Marc Kegel, Masakazu Teragaito
Currently, there exist only three strongly invertible L-space knots that are known to admit no Khovanov thin surgery. In this article, we give the first infinite family of such kno…
On hyperbolic L-space knots with braid index four and tunnel number two
Masakazu Teragaito
There are only three known strongly invertible hyperbolic L-space knots with braid index four and tunnel number two. They are t09284, t10496 and o9_34409 in the SnapPy census. In t…
Dehn filling and the knot group II: Ubiquity of persistent elements
Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito
Let be a nontrivial knot in . We say that an element of the knot group is \textit{persistent} if it remains nontrivial under all nontrivial Dehn fillings. Such elem…
Group theoretic perspective on Dehn fillings: Property P conjecture and beyond
Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito
The Property P Conjecture, which was settled by Kronheimer and Mrowka, asserts that every --manifold obtained by non-trivial Dehn surgery on a non-trivial knot is never simply c…
On asymmetric hyperbolic L-space knots of braid index four
Kenneth L. Baker, Masakazu Teragaito
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…