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Furuta, Mikio

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Author ID: furuta.mikio Recent zbMATH articles by "Furuta, Mikio"
Published as: Furuta, Mikio; Furuta, M.
Documents Indexed: 33 Publications since 1987, including 2 Books
Biographic References: 3 Publications

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 215 times in 169 Documents Cited by Year
Monopole equation and the \(\frac{11}{8}\)-conjecture. Zbl 0984.57011
Furuta, M.
36
2001
Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points. Zbl 0769.58009
Furuta, Mikio; Steer, Brian
34
1992
Homology cobordism group of homology 3-spheres. Zbl 0716.55008
Furuta, Mikio
29
1990
A stable cohomotopy refinement of Seiberg-Witten invariants. I. Zbl 1050.57024
Bauer, Stefan; Furuta, Mikio
25
2004
Homology 3-spheres bounding acyclic 4-manifolds. Zbl 0971.57026
Fukumoto, Y.; Furuta, M.
14
2000
\(W\)-invariants and Neumann-Siebenmann invariants for Seifert homology 3-spheres. Zbl 0991.57019
Fukumoto, Yoshihiro; Furuta, Mikio; Ue, Masaaki
13
2001
On the fundamental group of the space of harmonic 2-spheres in the \(n\)- sphere. Zbl 0813.58007
Furuta, Mikio; Guest, Martin A.; Kotani, Motoko; Ohnita, Yoshihiro
9
1994
A remark on a fixed point of finite group action on \(S^ 4\). Zbl 0682.57023
Furuta, Mikio
8
1989
Differentiable structures on punctured 4-manifolds. Zbl 0799.57009
Furuta, Mikio; Ohta, Hiroshi
7
1993
Invariant instantons on \(S^ 4\). Zbl 0729.58018
Furuta, Mikio; Hashimoto, Yoshitake
7
1990
Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants. Zbl 1117.57030
Furuta, Mikio; Kametani, Yukio; Matsue, Hirofumi; Minami, Norihiko
5
2007
On self-dual pseudo-connections on some orbifolds. Zbl 0774.57012
Furuta, Mikio
4
1992
Perturbation of moduli spaces of self-dual connections. Zbl 0653.57005
Furuta, Mikio
4
1987
Spin 4-manifolds with signature \(=-32\). Zbl 0986.57016
Furuta, M.; Kametani, Y.; Matsue, H.
4
2001
Torus fibrations and localization of index I – polarization and acyclic fibrations. Zbl 1248.53075
Fujita, Hajime; Furuta, Mikio; Yoshida, Takahiko
4
2010
Stable-homotopy Seiberg-Witten invariants for rational cohomology \(K3\#K3\)’s. Zbl 0976.57030
Furuta, M.; Kametani, Y.; Minami, N.
3
2001
Torus fibrations and localization of index. II. Local index for acyclic compatible system. Zbl 1305.58015
Fujita, Hajime; Furuta, Mikio; Yoshida, Takahiko
3
2014
Torus fibrations and localization of index. III: Equivariant version and its applications. Zbl 1396.58018
Fujita, Hajime; Furuta, Mikio; Yoshida, Takahiko
2
2014
Some variants of Floer cohomology. Zbl 0875.57004
Furuta, M.
1
1992
Euler number of moduli spaces of instantons. Zbl 0645.58044
Furuta, Mikio
1
1987
Finite dimensional approximations in geometry. Zbl 1002.57063
Furuta, M.
1
2002
Equivariant version of Rochlin-type congruences. Zbl 1326.19004
Furuta, Mikio; Kametani, Yukio
1
2014
Torus fibrations and localization of index. II. Local index for acyclic compatible system. Zbl 1305.58015
Fujita, Hajime; Furuta, Mikio; Yoshida, Takahiko
3
2014
Torus fibrations and localization of index. III: Equivariant version and its applications. Zbl 1396.58018
Fujita, Hajime; Furuta, Mikio; Yoshida, Takahiko
2
2014
Equivariant version of Rochlin-type congruences. Zbl 1326.19004
Furuta, Mikio; Kametani, Yukio
1
2014
Torus fibrations and localization of index I – polarization and acyclic fibrations. Zbl 1248.53075
Fujita, Hajime; Furuta, Mikio; Yoshida, Takahiko
4
2010
Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants. Zbl 1117.57030
Furuta, Mikio; Kametani, Yukio; Matsue, Hirofumi; Minami, Norihiko
5
2007
A stable cohomotopy refinement of Seiberg-Witten invariants. I. Zbl 1050.57024
Bauer, Stefan; Furuta, Mikio
25
2004
Finite dimensional approximations in geometry. Zbl 1002.57063
Furuta, M.
1
2002
Monopole equation and the \(\frac{11}{8}\)-conjecture. Zbl 0984.57011
Furuta, M.
36
2001
\(W\)-invariants and Neumann-Siebenmann invariants for Seifert homology 3-spheres. Zbl 0991.57019
Fukumoto, Yoshihiro; Furuta, Mikio; Ue, Masaaki
13
2001
Spin 4-manifolds with signature \(=-32\). Zbl 0986.57016
Furuta, M.; Kametani, Y.; Matsue, H.
4
2001
Stable-homotopy Seiberg-Witten invariants for rational cohomology \(K3\#K3\)’s. Zbl 0976.57030
Furuta, M.; Kametani, Y.; Minami, N.
3
2001
Homology 3-spheres bounding acyclic 4-manifolds. Zbl 0971.57026
Fukumoto, Y.; Furuta, M.
14
2000
On the fundamental group of the space of harmonic 2-spheres in the \(n\)- sphere. Zbl 0813.58007
Furuta, Mikio; Guest, Martin A.; Kotani, Motoko; Ohnita, Yoshihiro
9
1994
Differentiable structures on punctured 4-manifolds. Zbl 0799.57009
Furuta, Mikio; Ohta, Hiroshi
7
1993
Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points. Zbl 0769.58009
Furuta, Mikio; Steer, Brian
34
1992
On self-dual pseudo-connections on some orbifolds. Zbl 0774.57012
Furuta, Mikio
4
1992
Some variants of Floer cohomology. Zbl 0875.57004
Furuta, M.
1
1992
Homology cobordism group of homology 3-spheres. Zbl 0716.55008
Furuta, Mikio
29
1990
Invariant instantons on \(S^ 4\). Zbl 0729.58018
Furuta, Mikio; Hashimoto, Yoshitake
7
1990
A remark on a fixed point of finite group action on \(S^ 4\). Zbl 0682.57023
Furuta, Mikio
8
1989
Perturbation of moduli spaces of self-dual connections. Zbl 0653.57005
Furuta, Mikio
4
1987
Euler number of moduli spaces of instantons. Zbl 0645.58044
Furuta, Mikio
1
1987
all top 5

Cited by 186 Authors

8 Furuta, Mikio
6 Ruberman, Daniel
6 Saveliev, Nikolai
5 Fukumoto, Yoshihiro
5 Manolescu, Ciprian
4 Fujita, Hajime
4 Gomi, Kiyonori
4 Nakamura, Nobuhiro
3 Bauer, Stefan Alois
3 Dai, Irving
3 Hedden, Matthew
3 Ishida, Masashi
3 Lin, Francesco
3 Lin, Jianfeng
3 Mathai, Varghese
3 Morimoto, Masaharu
3 Pinzón-Caicedo, Juanita
3 Sasahira, Hirofumi
3 Ue, Masaaki
2 Bartłomiejczyk, Piotr
2 Berestovskiĭ, Valeriĭ Nikolaevich
2 Bolton, John
2 De Nittis, Giuseppe
2 Donald, Andrew
2 Efremov, Vladimir N.
2 Fang, Fuquan
2 Fernandez, Luis
2 Frøyshov, Kim A.
2 Godinho, Leonor
2 Gukov, Sergei
2 Guo, Guang-Yuan
2 Khandhawit, Tirasan
2 Konno, Hokuto
2 Kwasik, Sławomir
2 Kydonakis, Georgios
2 Lidman, Tye
2 Liu, Ximin
2 Livingston, Charles
2 Nagasaki, Ikumitsu
2 Putrov, Pavel
2 Steer, Brian
2 Stoffregen, Matthew
2 Sun, Hao
2 Sung, Chanyoung
2 Tamura, Shunsuke
2 Taniguchi, Masaki
2 Wilkin, Graeme
2 Woodward, Lyndon M.
2 Xue, Changtao
2 Yoshida, Takahiko
2 Zhao, Lutian
1 Abreu, Miguel
1 Agricola, Ilka
1 Akhmedov, Anar
1 Akutagawa, Kazuo
1 Anand, Christopher Kumar
1 Ashikaga, Tadashi
1 Austin, David M.
1 Baldridge, Scott Jeremy
1 Baldwin, John A.
1 Baraglia, David
1 Baykur, Refik İnanç
1 Becker-Bender, Julia
1 Blau, Matthias
1 Bor, Gil
1 Borowiecka, Agnieszka
1 Buchdahl, Nicholas P.
1 Candelori, Luca
1 Casali, Maria Rita
1 Cha, Jae Choon
1 Chen, Bohui
1 Chen, Weimin
1 Closset, Cyril
1 Cochran, Thomas (Tim) Daniel
1 Cork, Josh
1 Crawley-Boevey, William
1 Cristofori, Paola
1 Daemi, Aliakbar
1 Dai, Bo
1 Dartois, Stéphane
1 Donaldson, Simon Kirwan
1 Dryden, Emily B.
1 Endo, Hisaaki
1 Favre, Charles
1 Fiorenza, Domenico
1 Freitas, Pedro
1 Friedl, Stefan
1 Friedrich, Thomas
1 Fukuhara, Shinji
1 Gabdurakhmanov, Ravil
1 Gadde, Abhijit
1 García-Prada, Oscar
1 Gęba, Kazimierz
1 Gompf, Robert E.
1 Grasselli, Luigi
1 Griguolo, Luca
1 Hambleton, Ian
1 Hamilton, Mark J. D.
1 Harvey, Shelly L.
1 Hashimoto, Yoshitake
...and 86 more Authors
all top 5

Cited in 70 Serials

16 Geometry & Topology
12 Topology and its Applications
11 Communications in Mathematical Physics
9 Algebraic & Geometric Topology
7 Inventiones Mathematicae
7 Transactions of the American Mathematical Society
5 Mathematische Annalen
5 Mathematische Zeitschrift
4 Advances in Mathematics
4 Proceedings of the American Mathematical Society
4 Annals of Global Analysis and Geometry
3 Journal of Geometry and Physics
3 Compositio Mathematica
3 Duke Mathematical Journal
3 International Journal of Mathematics
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Journal of High Energy Physics
2 International Journal of Modern Physics A
2 Letters in Mathematical Physics
2 Annales de l’Institut Fourier
2 Geometriae Dedicata
2 Osaka Journal of Mathematics
2 Tohoku Mathematical Journal. Second Series
2 Tokyo Journal of Mathematics
2 Sugaku Expositions
2 Journal of the Institute of Mathematics of Jussieu
2 Journal of Fixed Point Theory and Applications
2 Journal of Topology
1 International Journal of Theoretical Physics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Nuclear Physics. B
1 Acta Mathematica
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Canadian Mathematical Bulletin
1 Publications Mathématiques
1 Journal of Geometry
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Kodai Mathematical Journal
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Chinese Annals of Mathematics. Series B
1 \(K\)-Theory
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 The Journal of Geometric Analysis
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Russian Mathematics
1 Experimental Mathematics
1 Kyushu Journal of Mathematics
1 Electronic Research Announcements of the American Mathematical Society
1 Documenta Mathematica
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Central European Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Frontiers of Mathematics in China
1 Journal of Gökova Geometry Topology GGT
1 Journal of Topology and Analysis
1 Japanese Journal of Mathematics. 3rd Series
1 Quantum Topology

Citations by Year