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Research Output 1987 2018

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Article
2018
2 Citations (Scopus)

Simplified broken Lefschetz fibrations and trisections of 4-manifolds

Baykur, R. I. & Saeki, O., Oct 23 2018, In : Proceedings of the National Academy of Sciences of the United States of America. 115, 43, p. 10894-10900 7 p.

Research output: Contribution to journalArticle

2017

Cobordism of algebraic knots defined by brieskorn polynomials

Blanloeil, V. & Saeki, O., Jan 1 2017, In : Tokyo Journal of Mathematics. 34, 2, p. 429-443 15 p.

Research output: Contribution to journalArticle

Cobordism
Knot
Polynomial
Homogeneous Polynomials
Exponent
2016
1 Citation (Scopus)

Interactive Visualization for Singular Fibers of Functions f: R3 → R2

Sakurai, D., Saeki, O., Carr, H., Wu, H. Y., Yamamoto, T., Duke, D. & Takahashi, S., Jan 31 2016, In : IEEE Transactions on Visualization and Computer Graphics. 22, 1, p. 945-954 10 p., 7192700.

Research output: Contribution to journalArticle

Visualization
Topology
Fibers
3 Citations (Scopus)

Multivariate topology simplification

Chattopadhyay, A., Carr, H., Duke, D., Geng, Z. & Saeki, O., Oct 1 2016, In : Computational Geometry: Theory and Applications. 58, p. 1-24 24 p.

Research output: Contribution to journalArticle

Simplification
Visualization
Reeb Graph
Topology
Jacobi
4 Citations (Scopus)

New examples of neuwirth-stallings pairs and non-trivial real milnor fibrations

Dos Santos, R. A., Hohlenwerger, M. A. B., Saeki, O. & Souza, T. O., Jan 1 2016, In : Annales de l'Institut Fourier. 66, 1, p. 83-104 22 p.

Research output: Contribution to journalArticle

Milnor Fiber
Polynomial Maps
Isolated Singularity
Fibration
Homotopy Type
2 Citations (Scopus)

Singular fibers of stable maps of 3-manifolds with boundary into surfaces and their applications

Saeki, O. & Yamamoto, T., Jul 1 2016, In : Algebraic and Geometric Topology. 16, 3, p. 1379-1402 24 p.

Research output: Contribution to journalArticle

Stable Map
Manifolds with Boundary
Fiber
Morse Function
Cobordism
2014

Visual data mining based on differential topology: a survey

Saeki, O. & Takahashi, S., 2014, In : Pacific journal of mathematics for industry : PJMI. 6, p. 47-56 10 p.

Research output: Contribution to journalArticle

2013

Desingularizing special generic maps

Saeki, O. & Takase, M., 2013, In : Journal of Gokova Geometry Topology. 7, p. 1-24

Research output: Contribution to journalArticle

2012

Cobordism of exact links

Blanloeil, V. & Saeki, O., Jul 17 2012, In : Algebraic and Geometric Topology. 12, 3, p. 1443-1455 13 p.

Research output: Contribution to journalArticle

Cobordism
Seifert Surface
Odd
Fiber
If and only if
2011
5 Citations (Scopus)

A smooth function on a manifold with given reeb graph

Masumoto, Y. & Saeki, O., Jun 10 2011, In : Kyushu Journal of Mathematics. 65, 1, p. 75-84 10 p.

Research output: Contribution to journalArticle

Reeb Graph
Smooth function
Critical Set
Finite Graph
Point Sets

Cobordism of algebraic knots defined by Brieskorn polynomials

Saeki, O. & Blanlœil, V., 2011, In : Tokyo Journal of Mathematics. 34, p. 429-443

Research output: Contribution to journalArticle

Curves in homogeneous spaces and their contact with 1-dimensional orbits

do Nascimento, V. M. & Saeki, O., Oct 1 2011, In : Geometriae Dedicata. 154, 1, p. 117-131 15 p.

Research output: Contribution to journalArticle

Homogeneous Space
Orbit
Contact
Curve
Subspace

Height functions on surfaces with three critical values

Morishita, F. & Saeki, O., Sep 9 2011, In : Journal of the Mathematical Society of Japan. 63, 1, p. 153-162 10 p.

Research output: Contribution to journalArticle

Critical value
Critical point
Immersion
Distance Function
Closed

The Fox property for codimension one embeddings of products of three spheres into spheres

Lucas, L. A. & Saeki, O., Dec 1 2011, In : Algebraic and Geometric Topology. 11, 5, p. 3043-3064 22 p.

Research output: Contribution to journalArticle

Codimension
Closure
Complement
Handlebody
Closed
2010
4 Citations (Scopus)

Obstructions to the existence of fold maps

Sadykov, R., Saeki, O. & Sakuma, K., Apr 2010, In : Journal of the London Mathematical Society. 81, 2, p. 338-354 17 p.

Research output: Contribution to journalArticle

Obstruction
Fold
Singularity
Characteristic Classes
Tangent Bundle

Singular fibers And 4-dimensional cobordism group

Saeki, O., Dec 1 2010, In : Pacific Journal of Mathematics. 248, 1, p. 233-256 24 p.

Research output: Contribution to journalArticle

Cobordism
Fiber
Stable Map
Projective plane
Argand diagram

SPECIAL GENERIC MAPS ON OPEN 4-MANIFOLDS (Singularity theory of smooth maps and related geometry)

Saeki, O., Aug 2010, In : RIMS Kokyuroku. 1707, p. 29-36 8 p.

Research output: Contribution to journalArticle

2009
6 Citations (Scopus)

Cobordism of Morse maps and its application to map germs

Ikegami, K. & Saeki, O., Jul 1 2009, In : Mathematical Proceedings of the Cambridge Philosophical Society. 147, 1, p. 235-254 20 p.

Research output: Contribution to journalArticle

Cobordism
Fold
Critical point
Topological Invariants
Invariant
1 Citation (Scopus)

Surface links and their generic planar projections

Saeki, O. & Takeda, Y., Jan 1 2009, In : Journal of Knot Theory and its Ramifications. 18, 1, p. 41-66 26 p.

Research output: Contribution to journalArticle

Projection
Braid
Fold
Diagram
Euler numbers

Number of singularities of stable maps

Hiratuka, J. T. & Saeki, O., Oct 1 2008, In : Journal of Geometry. 89, 1-2, p. 53-69 17 p.

Research output: Contribution to journalArticle

Stable Map
Euler Characteristic
Singularity
Singular Surfaces
Morse Function

On 2-knots with total width eight

Saeki, O. & Takeda, Y., 2008, In : Illinois Journal of Mathematics. 52, 3, p. 825-838 14 p.

Research output: Contribution to journalArticle

Knot
2-bridge Knot
Projection
Isotopy
Twist

可微分写像の特異ファイバーのトポロジー

Translated title of the contribution: Topology of singular fibers of differentiable maps佐伯修, 2008, In : 数学. 60, 1, p. 46-67 22 p.

Research output: Contribution to journalArticle

2007

Cobordism of fibered knots and related topics

Saeki, O. & Blanlœil, V., 2007, In : Advanced Studies in Pure mathematics. 46, p. 1-47

Research output: Contribution to journalArticle

Concordance des nœuds de dimension 4

Blanlœil, V. & Saeki, O., Dec 1 2007, In : Canadian Mathematical Bulletin. 50, 4, p. 481-485 5 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Singular fibers and characteristic classes

Saeki, O. & Yamamoto, T., Dec 1 2007, In : Topology and its Applications. 155, 2, p. 112-120 9 p.

Research output: Contribution to journalArticle

Characteristic Classes
Smooth Manifold
Set of points
Cohomology
Closure
12 Citations (Scopus)

Elimination of definite fold

Saeki, O., 2006, In : Kyushu Journal of Mathematics. 60, 2, p. 363-382 20 p.

Research output: Contribution to journalArticle

Singular Point
Elimination
Fold
Stable Map
Continuous Map
3 Citations (Scopus)

Extending generalized Fibonacci sequences and their Binet-type formula

Rachidi, M. & Saeki, O., Oct 13 2006, In : Advances in Difference Equations. 2006, 23849.

Research output: Contribution to journalArticle

Fibonacci sequence
Recurrence
Periodic Coefficients
Recurrence relation
Power series

Morse functions with sphere fibers

Saeki, O., Mar 2006, In : Hiroshima Mathematical Journal. 36, 1, p. 141-170 30 p.

Research output: Contribution to journalArticle

Morse Function
Fiber
Closed
Critical value
Spherical cone

Open book structures on (n-1)-connected (2n+1)-manifolds

Saeki, O., Massago, S. & Oziride, M. N., 2006, In : Journal of Mathematical Sciences, the University of Tokyo. 13

Research output: Contribution to journalArticle

6 Citations (Scopus)

Singular fibers of stable maps and signatures of 4-manifolds

Saeki, O. & Yamamoto, T., Apr 7 2006, In : Geometry and Topology. 10, p. 359-399 41 p.

Research output: Contribution to journalArticle

Stable Map
4-manifold
Signature
Fiber
Algebraic number

Stable mapping class groups of 4-manifolds with boundary

Saeki, O., May 1 2006, In : Transactions of the American Mathematical Society. 358, 5, p. 2091-2104 14 p.

Research output: Contribution to journalArticle

Connected Sum
Mapping Class Group
Manifolds with Boundary
4-manifold
2005
2 Citations (Scopus)

Cobordisme des surfaces plongées dans S4

Blanlœil, V. & Saeki, O., Dec 1 2005, In : Osaka Journal of Mathematics. 42, 4, p. 751-765 15 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Codimension one embeddings of product of three spheres

Lucas, L. A. & Saeki, O., Jan 1 2005, In : Topology and its Applications. 146-147, p. 409-419 11 p.

Research output: Contribution to journalArticle

Codimension
Closure
Homeomorphic
Torus
Complement
1 Citation (Scopus)

Generic smooth maps with sphere fibers

Saeki, O. & Suzuoka, K., Jan 1 2005, In : Journal of the Mathematical Society of Japan. 57, 3, p. 881-902 22 p.

Research output: Contribution to journalArticle

Fiber
Homotopy
Knot
4-manifold
Topological Properties
2004
2 Citations (Scopus)

Canceling branch points and cusps on projections of knotted surfaces in 4-space

Saeki, O. & Takeda, Y., Oct 1 2004, In : Proceedings of the American Mathematical Society. 132, 10, p. 3097-3101 5 p.

Research output: Contribution to journalArticle

Branch Point
Cusp
Projection
Singularity
Non-orientable Surface
1 Citation (Scopus)

Extending the Bernoulli-Euler method for finding zeros of holomorphic functions

Bernoussi, B., Rachidi, M. & Saeki, O., Jan 1 2004, In : Fibonacci Quarterly. 42, 1, p. 55-65 11 p.

Research output: Contribution to journalArticle

Euler's method
Bernoulli
Analytic function
Zero
3 Citations (Scopus)

Factorial binet formula and distributional moment formulation of generalized Fibonacci sequences

Bernoussi, B., Rachidi, M. & Saeki, O., Jan 1 2004, In : Fibonacci Quarterly. 42, 4, p. 320-329 10 p.

Research output: Contribution to journalArticle

Fibonacci sequence
Factorial
Moment
Formulation
1 Citation (Scopus)

Generalized Fibonacci sequences and Ostrowski's theorem

Motta, W., Rachidi, M. & Saeki, O., Dec 1 2004, In : Journal of Interdisciplinary Mathematics. 7, 2, p. 221-231 11 p.

Research output: Contribution to journalArticle

Fibonacci sequence
Subsequence
Theorem
Explicit Formula
Limiting
3 Citations (Scopus)

On periodic ∞-generalized Fibonacci sequences

Bernoussi, B., Motta, W., Rachidi, M. & Saeki, O., Jan 1 2004, In : Fibonacci Quarterly. 42, 4, p. 361-367 7 p.

Research output: Contribution to journalArticle

Fibonacci sequence
1 Citation (Scopus)

Pull back relation for non-spherical knots

Blanlœil, V., Matsumoto, Y. & Saeki, O., Aug 1 2004, In : Journal of Knot Theory and its Ramifications. 13, 5, p. 689-701 13 p.

Research output: Contribution to journalArticle

Pullback
Knot
Fibered Knot
Partial Order
Surgery
2003
11 Citations (Scopus)

Cobordism group of Morse functions on surfaces

Ikegami, K. & Saeki, O., Jan 1 2003, In : Journal of the Mathematical Society of Japan. 55, 4, p. 1081-1094 14 p.

Research output: Contribution to journalArticle

Morse Function
Cobordism
Infinite Groups
Cyclic group
Two Dimensions
12 Citations (Scopus)

Fold maps on 4-manifolds

Saeki, O., Sep 1 2003, In : Commentarii Mathematici Helvetici. 78, 3, p. 627-647 21 p.

Research output: Contribution to journalArticle

4-manifold
Fold
Vector Field
Linearly
Singularity
8 Citations (Scopus)

Self-intersection class for singularities and its application to fold maps

Ohmoto, T., Saeki, O. & Sakuma, K., Jan 1 2003, In : Transactions of the American Mathematical Society. 355, 9, p. 3825-3838 14 p.

Research output: Contribution to journalArticle

Self-intersection
Si
Fold
Singularity
Characteristic Classes
2002
1 Citation (Scopus)

A theory of concordance for non-spherical 3-knots

Blanlœil, V. & Saeki, O., Oct 1 2002, In : Transactions of the American Mathematical Society. 354, 10, p. 3955-3971 17 p.

Research output: Contribution to journalArticle

Concordance
Torsional stress
Knot
Spin Structure
Homology Groups
7 Citations (Scopus)

Cobordism groups of special generic functions and groups of homotopy spheres

Saeki, O., Jan 1 2002, In : Japanese Journal of Mathematics. 28, 2, p. 287-297 11 p.

Research output: Contribution to journalArticle

Cobordism
Homotopy
Morse Function
Critical point
Isomorphic