23 citations · 257 across the 67 of their papers we have counts for
7 papers · 1 filter
On constraints for knots to admit chirally cosmetic surgeries and their calculations
Kazuhiro Ichihara, Tetsuya Ito, Toshio Saito
We discuss various constraints for knots in to admit chirally cosmetic surgeries, derived from invariants of 3-manifolds, such as, the quantum -invariant, the rank o…
Tesselating a Pascal-like tetrahedron for the subdivision of high order tetrahedral finite elements
Mark W. Lohry
Three-dimensional order nodal Lagrangian tetrahedral finite elements ( elements) can be generated using Pascal's tetrahedron where each node in 3D eleme…
Successively almost positive links
Tetsuya Ito
As an extension of positive or almost positive diagrams and links, we introduce a notion of successively almost positive diagrams and links, and good successively almost positive d…
An obstruction of Gordian distance one and cosmetic crossings for genus one knots
Tetsuya Ito
We give an obstruction for genus one knots , to have the Gordian distance one by using the th coefficient of the HOMFLT polynomials. As an application, we give a new con…
A remark on a finiteness of purely cosmetic surgeries
Tetsuya Ito
By estimating the Turaev genus or the dealternation number, which leads to an estimate of knot floer thickness, in terms of the genus and the braid index, we show that a knot i…
Applications of the Casson-Walker invariant to the knot complement and the cosmetic crossing conjectures
Tetsuya Ito
We give a rational surgery formula for the Casson-Walker invariant of a 2-component link in which is a generalization of Matveev-Polyak's formula. As application, we give m…
Cosmetic crossing conjecture for genus one knots with non-trivial Alexander polynomial
Tetsuya Ito
We prove the cosmetic crossing conjecture for genus one knots with non-trivial Alexander polynomial. We also prove the conjecture for genus one knots with trivial Alexander polynom…