23 citations · 257 across the 67 of their papers we have counts for
6 papers · 1 filter
Flat plumbing basket and contact structure
Tetsuya Ito, Keiji Tagami
A flat plumbing basket is a Seifert surface consisting of a disk and bands contained in distinct pages of the disk open book decomposition of the 3-sphere. In this paper, we examin…
Mutation invariance for the zeroth coefficients of the colored HOMFLY polynomial
Tetsuya Ito
We show that the zeroth coefficient of the cables of the HOMFLY polynomial (colored HOMFLY polynomials) does not distinguish mutants. This makes a sharp contrast with the total HOM…
Chirally cosmetic surgeries and Casson invariants
Kazuhiro Ichihara, Tetsuya Ito, Toshio Saito
We study chirally cosmetic surgeries, that is, a pair of Dehn surgeries on a knot producing homeomorphic 3-manifolds with opposite orientations. Several constraints on knots and su…
Nontrivial elements in a knot group which are trivialized by Dehn fillings
Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito
Let K be a nontrivial knot in the 3-sphere with the exterior E(K), and u in G(K), the fundamental group of E(K), a slope element represented by an essential simple closed curve on…
On LMO invariant constraints for cosmetic surgery and other surgery problems for knots in S^{3}
Tetsuya Ito
We use the LMO invariant to find constraints for a knot to admit a purely or reflectively cosmetic surgery. We also get a constraint for knots to admit a Lens space surgery, and so…
The defect of Bennequin-Eliashberg inequality and Bennequin surfaces
Tetsuya Ito, Keiko Kawamuro
For a null-homologous transverse link in a general contact manifold with an open book, we explore strongly quasipositive braids and Bennequin surfaces. We define the d…