299 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of FreiburgDE15 papers
- University of WarsawPL13 papers
- University of BonnDE12 papers
- University of TurinIT12 papers
- Tel Aviv UniversityIL11 papers
- Fundação para a Ciência e TecnologiaPT10 papers
- European Organization for Nuclear ResearchCH9 papers
- Joint Institute for Nuclear ResearchRU9 papers
- Tokyo Institute of TechnologyJP9 papers
- Università degli Studi del Piemonte Orientale “Amedeo Avogadro”IT9 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR8 papers
- Ludwig-Maximilians-Universität MünchenDE8 papers
7 papers · 1 filter
Characterization of 3-punctured spheres in non-hyperbolic link exteriors
Mario Eudave-Munoz, Makoto Ozawa
In this paper, we characterize non-hyperbolic 3-component links in the 3-sphere whose exteriors contain essential 3-punctured spheres with non-integral boundary slopes. We also sho…
The incompatibility of crossing number and bridge number for knot diagrams
Ryan Blair, Alexandra A. Kjuchukova, Makoto Ozawa
We define and compare several natural ways to compute the bridge number of a knot diagram. We study bridge numbers of crossing number minimizing diagrams, as well as the behavior o…
A relation between Milnor's -invariants and HOMFLYPT polynomials
Yuka Kotorii
Polyak showed that any Milnor's -invariant of length 3 can be represented as a combination of Conway polynomials of knots obtained by certain band sum of the link compo…
Pairs of boundary slopes with small differences
Kazuhiro Ichihara
We show that, for any positive real number, there exists a knot in the 3-sphere admitting a pair of boundary slopes whose difference is at most the given number.
Composite tunnel number one genus two handlebody-knots
Mario Eudave-Munoz, Makoto Ozawa
We characterize composite tunnel number one genus two handlebody-knots.
Knots with arbitrarily high distance bridge decompositions
Kazuhiro Ichihara, Toshio Saito
We show that for any given closed orientable 3-manifold M with a Heegaard surface of genus g, any positive integers b and n, there exists a knot K in M which admits a (g,b)-bridge…
Factorization formulas and computations of higher-order Alexander invariants for homologically fibered knots
Hiroshi Goda, Takuya Sakasai
Homologically fibered knots are knots whose exteriors satisfy the same homological conditions as fibered knots. In our previous paper, we observed that for such a knot, higher-orde…