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## Furuta, Mikio

Compute Distance To:
 Author ID: furuta.mikio Published as: Furuta, Mikio; Furuta, M.
 Documents Indexed: 33 Publications since 1987, including 2 Books Biographic References: 3 Publications
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#### Co-Authors

 14 single-authored 5 Kametani, Yukio 3 Fujita, Hajime 3 Minami, Norihiko 3 Yoshida, Takahiko 2 Fukumoto, Yoshihiro 2 Matsue, Hirofumi 2 Matsuo, Shinichiroh 1 Bauer, Stefan Alois 1 Fukaya, Hidenori 1 Fukaya, Kenji 1 Guest, Martin A. 1 Hashimoto, Yoshitake 1 Kohno, Toshitake 1 Konno, M. B. 1 Kotani, Motoko 1 Kotschick, Dieter 1 Ohnita, Yoshihiro 1 Ohta, Hiroshi 1 Onogi, Tetsuya 1 Steer, Brian 1 Ue, Masaaki 1 Yamaguchi, Satoshi 1 Yamashita, Mayuko
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#### Serials

 3 Communications in Mathematical Physics 3 Mathematical Research Letters 2 Inventiones Mathematicae 2 Journal of the Faculty of Science. Section I A 2 Journal of the Mathematical Society of Japan 2 Mathematische Zeitschrift 2 Topology and its Applications 2 Sūgaku 2 Journal of Mathematical Sciences. University of Tokyo 1 Advances in Mathematics 1 Proceedings of the Japan Academy. Series A 1 Topology 1 Sugaku Expositions 1 Matemática Contemporânea 1 Translations of Mathematical Monographs
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#### Fields

 25 Manifolds and cell complexes (57-XX) 17 Global analysis, analysis on manifolds (58-XX) 7 Algebraic topology (55-XX) 7 Quantum theory (81-XX) 5 Differential geometry (53-XX) 2 Algebraic geometry (14-XX) 2 $$K$$-theory (19-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX)

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

 113 Manifolds and cell complexes (57-XX) 38 Differential geometry (53-XX) 38 Global analysis, analysis on manifolds (58-XX) 26 Algebraic geometry (14-XX) 26 Algebraic topology (55-XX) 15 Quantum theory (81-XX) 9 Several complex variables and analytic spaces (32-XX) 7 $$K$$-theory (19-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Relativity and gravitational theory (83-XX) 5 Number theory (11-XX) 4 Nonassociative rings and algebras (17-XX) 4 Functions of a complex variable (30-XX) 3 Group theory and generalizations (20-XX) 3 Functional analysis (46-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX)