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Dive into the research topics where Shigeru Mizushima is active.

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Featured researches published by Shigeru Mizushima.


Kyungpook Mathematical Journal | 2009

Lower Bounds on Boundary Slope Diameters for Montesinos Knots

Kazuhiro Ichihara; Shigeru Mizushima

In this paper, we give two lower bounds on the diameter of the boundary slope set of a Montesinos knot. One is described in terms of the minimal crossing numbers of the knots, and the other is related to the Euler characteristics of essential surfaces with the maximal/minimal boundary slopes.


Archive | 2004

Circle packings on surfaces with projective structures: A survey

Sadayoshi Kojima; Shigeru Mizushima; Ser Peow Tan

This paper surveys our on-going study of the moduli space of pairs of a surface with a complex projective structure, on which the circle makes sense, and a circle packing on it whose combinatorics is fixed. A conjectural picture, the results obtained so far and a list of problems for further study are discussed.


Topology and its Applications | 2010

Crosscap numbers of pretzel knots

Kazuhiro Ichihara; Shigeru Mizushima


Communications in Analysis and Geometry | 2008

Crossing number and diameter of boundary slope set of Montesinos knot

Kazuhiro Ichihara; Shigeru Mizushima


Journal of Differential Geometry | 2003

Circle Packings on Surfaces with Projective Structures

Sadayoshi Kojima; Shigeru Mizushima; Ser Peow Tan


Hiroshima Mathematical Journal | 2007

Bounds on numerical boundary slopes for Montesinos knots

Kazuhiro Ichihara; Shigeru Mizushima


arXiv: Geometric Topology | 2008

BOUNDARY SLOPES AND THE NUMBERS OF POSITIVE/NEGATIVE CROSSINGS FOR MONTESINOS KNOTS

Kazuhiro Ichihara; Shigeru Mizushima


Pacific Journal of Mathematics | 2006

Circle packings on surfaces with projective structures and uniformization

Sadayoshi Kojima; Shigeru Mizushima; Ser Peow Tan


arXiv: Geometric Topology | 2003

The Dehn filling space of a certain hyperbolic 3-orbifold

Sadayoshi Kojima; Shigeru Mizushima


Interdisciplinary Information Sciences | 2003

Computer Experiments for Circle Packings on Surfaces

Shigeru Mizushima

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Sadayoshi Kojima

Tokyo Institute of Technology

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Ser Peow Tan

National University of Singapore

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