23 citations · 257 across the 67 of their papers we have counts for
5 papers · 1 filter
On the 3-dimensional invariant for cyclic contact branched coverings
Tetsuya Ito
We give a formula of 3-dimensional invariant for a cyclic contact branched covering of the standard contact S^{3}.
Coverings of open books
Tetsuya Ito, Keiko Kawamuro
We study a coverings of open books and virtually overtwisted contact manifolds using open book foliations. We show that open book coverings produces interesting examples such as tr…
A homological representation formula of colored Alexander invariants
Tetsuya Ito
We give a formula of the colored Alexander invariant in terms of the homological representation of the braid groups which we call truncated Lawrence's representation. This formula…
On a structure of random open books and closed braids
Tetsuya Ito
A result of Malyutin shows that a random walk on the mapping class group gives rise to an element whose fractional Dehn twist coefficient is large or small enough. We show that thi…
On a relation between the self-linking number and the braid index of closed braids in open books
Tetsuya Ito
We prove a generalization of the Jones-Kawamuro conjecture that relates the self-linking number and the braid index of closed braids, for planar open books with certain additional…