Won Taek Song

activity

20022005

most citedThe minimum dilatation of pseudo-Anosov 5-braids

4 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.GT2005★ 4 cited

The minimum dilatation of pseudo-Anosov 5-braids

Ji-Young Ham, Won Taek Song

The minimum dilatation of pseudo-Anosov 5-braids is shown to be the largest zero $λ_{5} \approx 1.72208$ of $x^{4} - x^{3} - x^{2} - x + 1$ which is attained by $σ_{1} σ_{2} σ_{3} σ_{4} σ_{1} σ_{2}$ .

math.GT2004

The kernel of $B u r a u (4) \otimes Z_{p}$ is all pseudo-Anosov

Sang Jin Lee, Won Taek Song

We show that the kernel of $B u r a u (4) \otimes Z_{p}$ , the reduced Burau representation with coefficients in $Z_{p}$ of the 4-braid group $B_{4}$ , consists only of pseudo-Anosov braids.

math.GT2002

The Lawrence--Krammer representation is unitary

Won Taek Song

We show that the Lawrence--Krammer representation is unitary. We explicitly present the non-singular matrix representing the sesquilinear pairing invariant under the action. We sho…

The minimum dilatation of pseudo-Anosov 5-braids

The kernel of Burau(4)⊗Zp​ is all pseudo-Anosov

The Lawrence--Krammer representation is unitary

The kernel of $B u r a u (4) \otimes Z_{p}$ is all pseudo-Anosov