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20002024
most citedThe Deuteron Spin-dependent Structure Function g1d and its First Moment

299 citations

Showing math.GTShow all

7 papers · 1 filter

math.GT2018★ 1 cited

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…

math.GT2017★ 3 cited

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…

math.GT2015

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…

math.GT2013

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.

math.GT2013

Composite tunnel number one genus two handlebody-knots

Mario Eudave-Munoz, Makoto Ozawa

We characterize composite tunnel number one genus two handlebody-knots.

math.GT2012★ 3 cited

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…

math.GT2010★ 4 cited

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…