20 citations · 41 across the 7 of their papers we have counts for
8 papers · 1 filter
The Strong Slope Conjecture and crossing numbers for Mazur doubles of knots
Kenneth L. Baker, Kimihiko Motegi, Toshie Takata
The Slope Conjecture proposed by Garoufalidis asserts that the degree of the colored Jones polynomial determines a boundary slope, and its refinement, the Strong Slope Conjecture p…
The Strong Slope Conjecture for twisted generalized Whitehead doubles
Kenneth L. Baker, Kimihiko Motegi, Toshie Takata
The Slope Conjecture proposed by Garoufalidis asserts that the degree of the colored Jones polynomial determines a boundary slope, and its refinement, the Strong Slope Conjecture p…
The strong slope conjecture for cablings and connected sums
Kenneth L Baker, Kimihiko Motegi, Toshie Takata
We show that, under some technical conditions, the Strong Slope Conjecture proposed by Kalfagianni and Tran is closed under connect sums and cabling. As an application, we establis…
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
The colored Jones polynomial and the A-polynomial for twist knots
Toshie Takata
We show that for a twist knot, the A-polynomial can be obtained from recurrences for the summand in Masbaum's formula of the colored Jones polynomial. Our result supports the AJ co…
Quantum invariants of Seifert 3-manifolds and their asymptotic expansions
Soren Kold Hansen, Toshie Takata
We report on recent results of the authors concerning calculations of quantum invariants of Seifert 3-manifolds. These results include a derivation of the Reshetikhin-Turaev invari…