23 citations · 257 across the 67 of their papers we have counts for
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A quantitative Birman-Menasco finiteness theorem and its application to crossing number
Tetsuya Ito
Birman-Menasco proved that there are finitely many knots having a given genus and braid index. We give a quantitative version of Birman-Menasco finiteness theorem, an estimate of t…
A note on knot fertility
Tetsuya Ito
We show that a knot whose minimum crossing number is even and greater than is not fertile; there exists a knot with crossing number less than such that is…
Generalized torsion and Dehn filling
Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito
A generalized torsion element is a non-trivial element such that some non-empty finite product of its conjugates is the identity. We construct a generalized torsion element of the…
On homogeneous quasipositive links
Tetsuya Ito
We discuss when homogeneous quasipositive links are positive. In particular, we show that a homogeneous diagram of a quasipositive link whose number of Seifert circles is equal to…
A note on HOMFLY polynomial of positive braid links
Tetsuya Ito
For a positive braid link, a link represented as a closed positive braids, we determine the first few coefficients of its HOMFLY polynomial in terms of geometric invariants such as…