Akita University

output

19952026

most citedPhotonic analog of graphene model and its extension -- Dirac cone, symmetry, and edge states --

246 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.

collaborating institutions

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7 papers · 1 filter

math.GT2020★ 1 cited

Integral left-orderable surgeries on genus one fibered knots

Kazuhiro Ichihara, Yasuharu Nakae

Following the classification of genus one fibered knots in lens spaces by Baker, we determine hyperbolic genus one fibered knots in lens spaces on whose all integral Dehn surgeries…

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.GT2012★ 7 cited

A good presentation of (-2,3,2s+1)-type Pretzel knot group and R-covered foliation

Yasuharu Nakae

Let K_s be a (-2,3,2s+1)-type Pretzel knot (s >= 3) and E(K_s)(p/q) be a closed manifold obtained by Dehn surgery along K_s with a slope p/q. We prove that if q>0, p/q >= 4s+7 and…

math.GT2012

Higher even dimensional Reidemeister torsion for torus knot exteriors

Yoshikazu Yamaguchi

We study the asymptotics of the higher dimensional Reidemeister torsion for torus knot exteriors, which is related to the results by W. Müller and P. Menal-Ferrer and J. Porti on t…

math.GT2012

An integral region choice problem on knot projection

Kazushi Ahara, Masaaki Suzuki

In this paper we propose {\it a region choice problem} for a knot projection. This problem is an integral extension of Shimizu's 'region crossing change unknotting operation.' We s…

math.GT2009★ 4 cited

A partial order on the set of prime knots with up to 11 crossings

Keiichi Horie, Teruaki Kitano, Mineko Matsumoto +1

Let $K$ be a prime knot in $S^{3}$ and $G (K) = π_{1} (S^{3} - K)$ the knot group. We write $K_{1} \geq K_{2}$ if there exists a surjective homomorphism from $G (K_{1})$ onto $G (K_{2})$ . In this paper,…

math.GT2007

On the cusped fan in a planar portrait of a manifold

Mahito Kobayashi

A planar portrait of a manifold is the pair of the image and the critical values of the manifold through a stable map into the plane. It can be considerd a geometric representation…