75 citations · 189 across the 35 of their papers we have counts for
40 papers
Non-looseness of boundaries of Legendrian ribbons
Kenneth L. Baker, Sinem Onaran
Every null-homologous link in an oriented 3-manifold is isotopic to the boundary of a ribbon of a Legendrian graph for any overtwisted contact structure. However this is not the ca…
Handle numbers of guts of sutured manifolds and nearly fibered knots
Kenneth L. Baker, Fabiola Manjarrez-Gutiérrez
Extending Haken's Theorem to product annuli and disks for Heegaard splittings of sutured manifolds, we show that the handle number of an irreducible sutured manifold equals the han…
Morse-Novikov numbers, tunnel numbers, and handle numbers of sutured manifolds
Kenneth L. Baker, Fabiola Manjarrez-Gutiérrez
Developed from geometric arguments for bounding the Morse-Novikov number of a link in terms of its tunnel number, we obtain upper and lower bounds on the handle number of a Heegaar…
Large volume fibred knots of fixed genus
Kenneth L. Baker, David Futer, Jessica S. Purcell +1
We show that, for hyperbolic fibred knots in the three-sphere, the volume and the genus are unrelated. Furthermore, for such knots, the volume is unrelated to strong quasipositivit…
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…
Census L-space knots are braid positive, except for one that is not
Kenneth L. Baker, Marc Kegel
We exhibit braid positive presentations for all L-space knots in the SnapPy census except one, which is not braid positive. The normalized HOMFLY polynomial of o9_30634, when suita…