output
19982025
most citedDynamics of dark energy

6.3k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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9 papers · 1 filter

math.GT2020

Classification of non-free Kleinian groups generated by two parabolic transformations

Hirotaka Akiyoshi, Ken'ichi Ohshika, John Parker +2

We give a full proof to Agol's announcement on the classification of non-free Kleinian groups generated by two parabolic transformations.

math.GT2018

A note on the cross-index of a complete graph based on a linear tree

Yusuke Gokan, Hayato Katsumata, Katsuya Nakajima +2

In this paper it is shown that a complete graph with vertices has an optimal diagram, i.e., a diagram whose crossing number equals the value of Guy's formula, with a free maxim…

math.GT2017

Up-down colorings of virtual-link diagrams and the necessity of Reidemeister moves of type II

Kanako Oshiro, Ayaka Shimizu, Yoshiro Yaguchi

We introduce an up-down coloring of a virtual-link diagram. The colorabilities give a lower bound of the minimum number of Reidemeister moves of type II which are needed between tw…

math.GT2017★ 5 cited

Biquandle Virtual Brackets

Sam Nelson, Kanako Oshiro, Ayaka Shimizu +1

We introduce an infinite family of quantum enhancements of the biquandle counting invariant we call biquandle virtual brackets. Defined in terms of skein invariants of biquandle co…

math.GT2016

Axis systems of link projections

Kirara Horiguchi, Ayaka Shimizu, Ryohei Watanabe +1

An axis of a link projection is a closed curve which lies symmetrically on each region of the link projection. In this paper we define axis systems of link projections and characte…

math.GT2016★ 1 cited

The reductivity of spherical curves Part II: 4-gons

Yui Onoda, Ayaka Shimizu

The reductivity of a spherical curve represents how reduced the spherical curve is. It is unknown if there exists a spherical curve whose reductivity is four. In this paper we give…

math.GT2015★ 1 cited

The warping matrix of a knot diagram

Ayaka Shimizu

We introduce the warping matrix which is a new description of oriented knots from a viewpoint of warping degree.

math.GT2014

The reductivity of spherical curves

Ayaka Shimizu

We show that we can obtain a reducible spherical curve from any non-trivial spherical curve by four or less inverse-half-twisted splices, i.e., the reductivity, which represents ho…

math.GT2010★ 6 cited

Region crossing change is an unknotting operation

Ayaka Shimizu

Region crossing change is a local transformation on a knot or link diagram. We show that a region crossing change on a knot diagram is an unknotting operation, and we define the re…