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Research Output 1981 2018

  • 216 Citations
  • 8 h-Index
  • 65 Article
2018

Cokernels of homomorphisms from burnside rings to inverse limits II: G = Cpm × Cpn

Morimoto, M. & Sugimura, M., Jan 1 2018, In : Kyushu Journal of Mathematics. 72, 1, p. 95-105 11 p.

Research output: Contribution to journalArticle

Burnside Ring
Inverse Limit
Homomorphisms
Cartesian product
Homomorphism

The inverse limit of the Burnside ring for a family of subgroups of a finite group

Hara, Y. & Morimoto, M., Jan 1 2018, In : Hokkaido Mathematical Journal. 47, 2, p. 427-444 18 p.

Research output: Contribution to journalArticle

Burnside Ring
Inverse Limit
Homomorphism
Finite Group
Subgroup
2017
1 Citation (Scopus)

Cokernels of homomorphisms from burnside rings to inverse limits

Morimoto, M., Mar 1 2017, In : Canadian Mathematical Bulletin. 60, 1, p. 165-172 8 p.

Research output: Contribution to journalArticle

Burnside Ring
Inverse Limit
Homomorphisms
Denote
Cartesian product
2 Citations (Scopus)

Direct limits and inverse limits of Mackey functors

Morimoto, M., Jan 15 2017, In : Journal of Algebra. 470, p. 68-76 9 p.

Research output: Contribution to journalArticle

Mackey Functor
Direct Limit
Inverse Limit
Homomorphisms
Finite Group
2016

A necessary condition for the Smith equivalence of G-modules and its sufficiency

Morimoto, M., Aug 1 2016, In : Mathematica Slovaca. 66, 4, p. 979-998 20 p.

Research output: Contribution to journalArticle

Sufficiency
Equivalence
Subgroup
Necessary Conditions
Module

One-fixed-point actions on spheres and smith sets

Morimoto, M., Oct 1 2016, In : Osaka Journal of Mathematics. 53, 4, p. 1003-1013 11 p.

Research output: Contribution to journalArticle

Fixed point
Subset
Closed
Ring
Finite Group
2015
2 Citations (Scopus)
Fixed point
Equivalence
2014

An equivariant transversality theorem and its appications

Morimoto, M., 2014, In : 数理解析研究所講究録. 1876, p. 112-119 8 p.

Research output: Contribution to journalArticle

2012
3 Citations (Scopus)
Smooth Manifold
Fixed point
Fixed Point Set
Compact Manifold
Finite Group
2011

Equivariant surgery under the weak gap condition

Morimoto, M., 2011, In : 数理解析研究所講究録. 1732, p. 19-27 9 p.

Research output: Contribution to journalArticle

2010
5 Citations (Scopus)

Nontrivial ℘(G)-matched script G-related pairs for finite gap Oliver groups

Morimoto, M., Apr 2010, In : Journal of the Mathematical Society of Japan. 62, 2, p. 623-647 25 p.

Research output: Contribution to journalArticle

Matched pairs
Module
Conjugacy class
If and only if
Theorem
2009

Study of the Smith sets of gap Oliver groups (共著)

Morimoto, M., 2009, In : 数理解析研究所講究録. 1670, p. 126-139 14 p.

Research output: Contribution to journalArticle

2008
2 Citations (Scopus)

Equivariant intersection theory and surgery theory for manifolds with middle dimensional singular sets

Morimoto, M., 2008, In : Journal of K-Theory. 2, Spec.Iss.03, p. 507-600 94 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Fixed-point sets of smooth actions on spheres

Morimoto, M., 2008, In : Journal of K-Theory. 1, 1, p. 95-128 34 p.

Research output: Contribution to journalArticle

Fixed Point Set
Finite Group
Equivariant
Surgery
Homology
8 Citations (Scopus)

Smith equivalent Aut(A6)-Representations are isomorphic

Morimoto, M., Oct 2008, In : Proceedings of the American Mathematical Society. 136, 10, p. 3683-3688 6 p.

Research output: Contribution to journalArticle

Isomorphic
Module
Michael Francis Atiyah
Conjugacy class
Finite Group

Tangential representations at fixed poitns

Morimoto, M., 2008, In : 京都大学数理解析研究所講究録. 1612, p. 41-49 9 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

The Smith sets of finite groups with normal Sylow 2-subgroups and small nilquotients

Koto, A., Morimoto, M. & Qi, Y., 2008, In : Kyoto Journal of Mathematics. 48, 1, p. 219-227 9 p.

Research output: Contribution to journalArticle

Finite Group
Subgroup
Direct Product
Cyclic group
Trivial
2007

Construction of smooth actions on spheres for Smith equivalent representations

Morimoto, M., 2007, In : 数理解析研究所 講究録. 1569, p. 52-58 7 p.

Research output: Contribution to journalArticle

2006
1 Citation (Scopus)
Equivariant
Surgery
Homology
Obstruction
Equivalence

The Smith Problem and a Counterexample to Laitinen's Conjecture

Morimoto, M., 2006, In : 京都大学数理解析研究所講究録. No.1517, p. 25-31 7 p.

Research output: Contribution to journalArticle

2005
5 Citations (Scopus)

The dimension of spheres with smooth one fixed point actions

Bak, A. & Morimoto, M., Mar 2005, In : Forum Mathematicum. 17, 2, p. 199-216 18 p.

Research output: Contribution to journalArticle

Fixed point
Alternating group
Finite Group
If and only if

同変手術理論と球面上の滑らかな作用の不動点集合

Morimoto, M., 2005, In : 数理解析研究所講究録. No.1449, p. 109-118 10 p.

Research output: Contribution to journalArticle

2004

An exact sequence of Grothendieck-Witt rings

Morimoto, M., 2004, In : 数理解析研究所講究録.

Research output: Contribution to journalArticle

2003
6 Citations (Scopus)

Induction theorems of surgery obstruction groups

Morimoto, M., Jun 2003, In : Transactions of the American Mathematical Society. 355, 6, p. 2341-2384 44 p.

Research output: Contribution to journalArticle

Obstruction
Surgery
Functor
Proof by induction
Burnside Ring

Induction theory of equivariant-surgery-obstruction groups

Morimoto, M., 2003, In : 京都大学数理解析研究所 講究録. No.1343, p. 129-143 15 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Mackey and Frobenius structures on odd dimensional surgery obstruction groups

Ju, X., Matsuzaki, K. & Morimoto, M., Aug 2003, In : K-Theory. 29, 4, p. 285-312 28 p.

Research output: Contribution to journalArticle

Frobenius
Obstruction
Surgery
Odd
Functor
12 Citations (Scopus)

Smooth actions of finite Oliver groups on spheres

Morimoto, M. & Pawałowski, K., Mar 2003, In : Topology. 42, 2, p. 395-421 27 p.

Research output: Contribution to journalArticle

Equivariant
Bundle
Normal Bundle
Fixed Point Set
Smooth Manifold
2002

Cappell-Shaneson's group and equivariant surgery

Morimoto, M., 2002, In : 京都大学数理解析研究所 講究録. No.1290, p. 42-42 1 p.

Research output: Contribution to journalArticle

The Burnside ring revisited

Morimoto, M., 2002, In : Trends in Transformation Groups, K-Theory Monographs. No.7, p. 129-129 1 p.

Research output: Contribution to journalArticle

2001
5 Citations (Scopus)
Cobordism
Singular Set
Invariance
Obstruction
Equivariant
2 Citations (Scopus)
Surgery
Homology
Equivalence
Obstruction Theory
G-manifolds
7 Citations (Scopus)

The Equivariant Bundle Subtraction Theorem and its applications

Morimoto, M. & Pawałowski, K., 2000, In : Fundamenta Mathematicae. 161, 3, p. 279-303 25 p.

Research output: Contribution to journalArticle

Subtraction
Equivariant
Fixed Point Set
Bundle
Isotropy
1999
3 Citations (Scopus)

Equivariant wedge sum construction of finite contractible G-CW complexes with G-vector bundles

Morimoto, M. & Pawałowski, K., Dec 1999, In : Osaka Journal of Mathematics. 36, 4, p. 767-781 15 p.

Research output: Contribution to journalArticle

CW-complex
Wedge
Vector Bundle
Equivariant
1998
3 Citations (Scopus)

A geometric quadratic form of 3-dimensional normal maps

Morimoto, M., 1998, In : Topology and its Applications. 83, 2, p. 77-102 26 p.

Research output: Contribution to journalArticle

Quadratic form
Stable Vector Bundles
Tangent Bundle
Immersion
Surgery
12 Citations (Scopus)

Equivariant surgery theory: Deleting-inserting theorems of fixed point manifolds on spheres and disks

Morimoto, M., 1998, In : K-Theory. 15, 1, p. 13-32 20 p.

Research output: Contribution to journalArticle

Obstruction
Equivariant
Connected Sum
Surgery
Fixed point
28 Citations (Scopus)

Finite groups with smooth one fixed point actions on spheres

Laitinen, E. & Morimoto, M., 1998, In : Forum Mathematicum. 10, 4, p. 479-520 42 p.

Research output: Contribution to journalArticle

Lie groups
Surgery
Finite Group
Fixed point
Burnside Ring
1997

On fixed point data smooth actions on spheres

Morimoto, M., 1997, In : Science Bulletin of Josai University. 2, p. 77-79 3 p.

Research output: Contribution to journalArticle

1996
16 Citations (Scopus)

Equivariant surgery with middle dimensional singular sets. I

Bak, A. & Morimoto, M., 1996, In : Forum Mathematicum. 8, 3, p. 267-302 36 p.

Research output: Contribution to journalArticle

Singular Set
Equivariant
Surgery
Homotopy Equivalence
Smooth Manifold
1995
22 Citations (Scopus)

Deleting-Inserting Theorem for smooth actions of finite nonsolvable groups on spheres

Laitinen, E., Morimoto, M. & Pawalowski, K., Dec 1995, In : Commentarii Mathematici Helvetici. 70, 1, p. 10-38 29 p.

Research output: Contribution to journalArticle

Finite Group
Fixed point
Theorem
Group Action
Equivariant
7 Citations (Scopus)
Equivariant
Surgery
1994

K-theoretic groups with positioning map and equivariant surgery(共著)

Morimoto, M., 1994, In : Proceedings of The Japan Academy. 70, (A)1, p. 6-11 6 p.

Research output: Contribution to journalArticle

1993

Cancellation over rings of dimension ≦1(共著)

Morimoto, M., 1993, In : Bulletin of The Mathematical Society of Belgium. 45(A), 12, p. 29-37 9 p.

Research output: Contribution to journalArticle