## Nakajima, Hiraku

Compute Distance To:
 Author ID: nakajima.hiraku Published as: Nakajima, Hiraku; Nakajima, H. Homepage: http://www.kurims.kyoto-u.ac.jp/~nakajima/nakajima.html External Links: Wikidata · Math-Net.Ru · GND · IdRef · theses.fr
 Documents Indexed: 81 Publications since 1987, including 2 Books 3 Contributions as Editor · 2 Further Contributions Co-Authors: 42 Co-Authors with 33 Joint Publications 773 Co-Co-Authors
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### Co-Authors

 52 single-authored 10 Yoshioka, Kōta 6 Braverman, Alexander 6 Finkelberg, Michael Vladlenovich 4 Göttsche, Lothar 2 Shinoda, Kenichi 2 Shoji, Toshiaki 2 Tanisaki, Toshiyuki 1 Arakawa, Tomoyuki 1 Ariki, Susumu 1 Bando, Shigetoshi 1 Beck, Jonathan 1 Buryak, Alexandr Y. 1 Crawley-Boevey, William 1 Feĭgin, Boris L’vovich 1 Gocho, Toru 1 Guay, Nicolas 1 Gukov, Sergei 1 Gyoja, Akihiko 1 Hasegawa, Masahito 1 Hernandez, David 1 Hsin, Po-Shen 1 Ito, Yukari 1 Itoh, Mitsuhiro 1 Kashiwara, Masaki 1 Kasue, Atsushi 1 Kodera, Ryosuke 1 Kool, Martijn 1 Kronheimer, Peter Benedict 1 Kumagai, Takashi 1 Makino, Kazuhisa 1 Mochizuki, Takuro 1 Mukai, Shigeru 1 Nagao, Kentaro 1 Ono, Kaoru 1 Ozawa, Narutaka 1 Park, Sunghyuk 1 Pei, Du 1 Saito, Yoshihisa 1 Sopenko, Nikita 1 Takayama, Yuuya 1 Tamagawa, Akio 1 Tomotada, Ohtsuki 1 Van den Bergh, Michel 1 Wendlandt, Curtis 1 Yamada, Michio
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### Serials

 5 Inventiones Mathematicae 5 Advances in Theoretical and Mathematical Physics 3 Duke Mathematical Journal 3 Sūgaku 3 IMRN. International Mathematics Research Notices 3 Kyoto Journal of Mathematics 2 Journal of Differential Geometry 2 Journal of the Faculty of Science. Section I A 2 Journal of the Mathematical Society of Japan 2 Mathematische Annalen 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Sugaku Expositions 2 RIMS Kokyuroku 2 Annals of Mathematics. Second Series 2 Moscow Mathematical Journal 1 Communications in Mathematical Physics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Journal of Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Nagoya Mathematical Journal 1 Topology 1 Journal of the American Mathematical Society 1 Nuclear Physics. B. Proceedings Supplements 1 Journal of Algebraic Geometry 1 Algebra Colloquium 1 Selecta Mathematica. New Series 1 Transformation Groups 1 Representation Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Pure and Applied Mathematics Quarterly 1 Astérisque 1 Contemporary Mathematics 1 Progress in Mathematics 1 Translations. Series 2. American Mathematical Society 1 University Lecture Series
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### Fields

 49 Algebraic geometry (14-XX) 40 Nonassociative rings and algebras (17-XX) 25 Differential geometry (53-XX) 20 Quantum theory (81-XX) 17 Associative rings and algebras (16-XX) 10 Manifolds and cell complexes (57-XX) 10 Global analysis, analysis on manifolds (58-XX) 7 Group theory and generalizations (20-XX) 6 Special functions (33-XX) 5 Several complex variables and analytic spaces (32-XX) 3 Topological groups, Lie groups (22-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Geometry (51-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

75 Publications have been cited 2,419 times in 1,303 Documents Cited by Year
Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras. Zbl 0826.17026
Nakajima, Hiraku
1994
Lectures on Hilbert schemes of points on surfaces. Zbl 0949.14001
Nakajima, Hiraku
1999
Quiver varieties and finite dimensional representations of quantum affine algebras. Zbl 0981.17016
Nakajima, Hiraku
2001
Quiver varieties and Kac-Moody algebras. Zbl 0970.17017
Nakajima, Hiraku
1998
On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth. Zbl 0682.53045
Bando, Shigetoshi; Kasue, Atsushi; Nakajima, Hiraku
1989
Instanton counting on blowup. I: 4-dimensional pure gauge theory. Zbl 1100.14009
Nakajima, Hiraku; Yoshioka, Kota
2005
Yang-Mills instantons on ALE gravitational instantons. Zbl 0694.53025
Kronheimer, Peter B.; Nakajima, Hiraku
1990
Heisenberg algebra and Hilbert schemes of points on projective surfaces. Zbl 0915.14001
Nakajima, Hiraku
1997
Lectures on instanton counting. Zbl 1080.14016
Nakajima, Hiraku; Yoshioka, Kōta
2004
Crystal bases and two-sided cells of quantum affine algebras. Zbl 1062.17006
Beck, Jonathan; Nakajima, Hiraku
2004
Instanton counting on blowup. II: $$K$$-theoretic partition function. Zbl 1110.14015
Nakajima, Hiraku; Yoshioka, Kota
2005
Towards a mathematical definition of Coulomb branches of $$3$$-dimensional $$\mathcal{N}=4$$ gauge theories. I. Zbl 1433.81121
Nakajima, Hiraku
2016
$$t$$-analogs of $$q$$-characters of Kirillov-Reshetikhin modules of quantum affine algebras. Zbl 1078.17008
Nakajima, Hiraku
2003
Quiver varieties and cluster algebras. Zbl 1223.13013
Nakajima, Hiraku
2011
Quiver varieties and $$t$$-analogs of $$q$$-characters of quantum affine algebras. Zbl 1140.17015
Nakajima, Hiraku
2005
$$t$$-analogs of $$q$$-characters of quantum affine algebras of type $$A_n$$, $$D_n$$. Zbl 1098.17013
Nakajima, Hiraku
2003
$$K$$-theoretic Donaldson invariants via instanton counting. Zbl 1192.14011
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
2009
Quiver varieties and tensor products. Zbl 1023.17008
Nakajima, Hiraku
2001
Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima). Zbl 1065.16009
Crawley-Boevey, William; Van den Bergh, Michel
2004
McKay correspondence and Hilbert schemes in dimension three. Zbl 0995.14001
Ito, Yukari; Nakajima, Hiraku
2000
Instanton counting and Donaldson invariants. Zbl 1172.57015
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
2008
Counting invariant of perverse coherent sheaves and its wall-crossing. Zbl 1250.14021
Nagao, Kentaro; Nakajima, Hiraku
2011
Extremal weight modules of quantum affine algebra. Zbl 1088.17008
Nakajima, Hiraku
2004
$$t$$-analogue of the $$q$$-characters of finite-dimensional representations of quantum affine algebras. Zbl 1011.17013
Nakajima, Hiraku
2001
Hausdorff convergence of Einstein 4-manifolds. Zbl 0655.53037
Nakajima, Hiraku
1988
Donaldson = Seiberg-Witten from Mochizuki’s formula and instanton counting. Zbl 1259.14046
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kota
2011
Homology of moduli spaces of instantons on ALE spaces. I. Zbl 0822.53019
Nakajima, Hiraku
1994
Quiver varieties and branching. Zbl 1241.17028
Nakajima, Hiraku
2009
Perverse coherent sheaves on blowup. III: Blow-up formula from wall-crossing. Zbl 1220.14012
Nakajima, Hiraku; Yoshioka, Kōta
2011
Compactness of the moduli space of Yang-Mills connections in higher dimensions. Zbl 0647.53030
Nakajima, Hiraku
1988
Instanton moduli spaces and $$\mathcal W$$-algebras. Zbl 1435.14001
Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku
2016
Varieties associated with quivers. Zbl 0870.16008
Nakajima, Hiraku
1996
Level 0 monomial crystals. Zbl 1201.17008
Hernandez, David; Nakajima, Hiraku
2006
Reflection functors for quiver varieties and Weyl group actions. Zbl 1060.16017
Nakajima, Hiraku
2003
Sheaves on ALE spaces and quiver varieties. Zbl 1166.14007
Nakajima, Hiraku
2007
Coproduct for Yangians of affine Kac-Moody algebras. Zbl 1447.17012
Guay, Nicolas; Nakajima, Hiraku; Wendlandt, Curtis
2018
Einstein-Hermitian connections on hyper-Kähler quotients. Zbl 0767.53045
Gocho, Toru; Nakajima, Hiraku
1992
Geometric construction of representations of affine algebras. Zbl 1049.17014
Nakajima, Hiraku
2002
Gauge theory on resolutions of simple singularities and simple Lie algebras. Zbl 0832.58007
Nakajima, Hiraku
1994
Moduli spaces of anti-self-dual connections on ALE gravitational instantons. Zbl 0714.53026
Nakajima, Hiraku
1990
Monopoles and Nahm’s equations. Zbl 0788.53068
Nakajima, Hiraku
1993
Perverse coherent sheaves on blow-up. I. A quiver description. Zbl 1247.14009
Nakajima, Hiraku; Yoshioka, Kota
2011
Handsaw quiver varieties and finite $$W$$-algebras. Zbl 1290.17013
Nakajima, Hiraku
2012
Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type $$A$$. Zbl 1431.16014
Nakajima, Hiraku; Takayama, Yuuya
2017
Hyper-Kähler structures on moduli spaces of parabolic Higgs bundles on Riemann surfaces. Zbl 0881.14006
Nakajima, Hiraku
1996
$$t$$-analogs of $$q$$-characters of quantum affine algebras of type $$E_6$$, $$E_7$$, $$E_8$$. Zbl 1259.17015
Nakajima, Hiraku
2010
More lectures on Hilbert schemes of points on surfaces. Zbl 1369.14012
Nakajima, Hiraku
2016
Self-duality of ALE Ricci-flat 4-manifolds and positive mass theorem. Zbl 0744.53025
Nakajima, Hiraku
1990
Removable singularities for Yang-Mills connections in higher dimensions. Zbl 0637.58026
Nakajima, Hiraku
1987
Perverse coherent sheaves on blow-up. II: Wall-crossing and Betti numbers formula. Zbl 1208.32013
Nakajima, Hiraku; Yoshioka, Kota
2011
Virtual refinements of the Vafa-Witten formula. Zbl 1440.14253
Göttsche, Lothar; Kool, Martijn
2020
Resolutions of moduli spaces of ideal instantons on $$\mathbb{R}^4$$. Zbl 0891.57023
Nakajima, Hiraku
1994
A convergence theorem for Einstein metrics and the ALE spaces. Zbl 0808.53046
Nakajima, Hiraku
1994
Refined Chern-Simons theory and Hilbert schemes of points on the plane. Zbl 1298.14008
Nakajima, Hiraku
2014
Quiver varieties and tensor products. II. Zbl 1309.17010
Nakajima, Hiraku
2013
Affine cellularity of quantum affine algebras: an appendix to “Affine cellularity of BLN-algebras” by Weideng Cui. Zbl 1378.17029
Nakajima, Hiraku
2015
Towards a mathematical definition of Coulomb branches of 3-dimensional $$\mathcal{N} = 4$$ gauge theories. II. Zbl 1479.81043
Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku
2018
Introduction to a provisional mathematical definition of Coulomb branches of 3-dimensional $$\mathcal{N}=4$$ gauge theories. Zbl 1471.22020
Nakajima, Hiraku
2018
Yau’s trick. Zbl 0736.53041
Nakajima, Hiraku
1989
Coulomb branches of $$3d$$ $$\mathcal{N}=4$$ quiver gauge theories and slices in the affine Grassmannian. Zbl 1479.81044
Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku
2019
Introduction to quiver varieties – for ring and representation theorists. Zbl 1437.17007
Nakajima, Hiraku
2017
Instantons and affine Lie algebras. Zbl 0957.17504
Nakajima, Hiraku
1996
Yang-Mills connections and Einstein-Hermitian metrics. Zbl 0755.58012
Itoh, Mitsuhiro; Nakajima, Hiraku
1990
Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. Zbl 1471.81084
Gukov, Sergei; Hsin, Po-Shen; Nakajima, Hiraku; Park, Sunghyuk; Pei, Du; Sopenko, Nikita
2021
Lectures on perverse sheaves on instanton moduli spaces. Zbl 1403.14036
Nakajima, Hiraku
2017
Quantized Coulomb brances of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras. Zbl 1469.20006
Kodera, Ryosuke; Nakajima, Hiraku
2018
A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes. Zbl 1353.14007
Buryak, Alexandr; Feigin, Boris Lvovich; Nakajima, Hiraku
2015
Instanton counting and Donaldson invariants. Zbl 1225.14010
Nakajima, Hiraku; Yoshioka, Kōda
2010
Quiver varieties and quantum affine algebras. Zbl 1246.17021
Nakajima, Hiraku
2006
Cells in quantum affine algebras. Zbl 1062.17012
Nakajima, Hiraku
2004
Crystal, canonical and PBW bases of quantum affine algebras. Zbl 1194.17009
Nakajima, Hiraku
2007
Convolution on homology groups of moduli spaces of sheaves on $$K3$$ surfaces. Zbl 1064.14043
Nakajima, Hiraku
2003
Ring objects in the equivariant derived Satake category arising from Coulomb branches. Zbl 1476.14040
Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku
2019
Moduli of sheaves on blown-up surfaces. Zbl 1322.14028
Nakajima, Hiraku
2001
Cluster algebras and singular supports of perverse sheaves. Zbl 1353.13024
Nakajima, Hiraku
2014
Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. Zbl 1471.81084
Gukov, Sergei; Hsin, Po-Shen; Nakajima, Hiraku; Park, Sunghyuk; Pei, Du; Sopenko, Nikita
2021
Virtual refinements of the Vafa-Witten formula. Zbl 1440.14253
Göttsche, Lothar; Kool, Martijn
2020
Coulomb branches of $$3d$$ $$\mathcal{N}=4$$ quiver gauge theories and slices in the affine Grassmannian. Zbl 1479.81044
Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku
2019
Ring objects in the equivariant derived Satake category arising from Coulomb branches. Zbl 1476.14040
Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku
2019
Coproduct for Yangians of affine Kac-Moody algebras. Zbl 1447.17012
Guay, Nicolas; Nakajima, Hiraku; Wendlandt, Curtis
2018
Towards a mathematical definition of Coulomb branches of 3-dimensional $$\mathcal{N} = 4$$ gauge theories. II. Zbl 1479.81043
Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku
2018
Introduction to a provisional mathematical definition of Coulomb branches of 3-dimensional $$\mathcal{N}=4$$ gauge theories. Zbl 1471.22020
Nakajima, Hiraku
2018
Quantized Coulomb brances of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras. Zbl 1469.20006
Kodera, Ryosuke; Nakajima, Hiraku
2018
Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type $$A$$. Zbl 1431.16014
Nakajima, Hiraku; Takayama, Yuuya
2017
Introduction to quiver varieties – for ring and representation theorists. Zbl 1437.17007
Nakajima, Hiraku
2017
Lectures on perverse sheaves on instanton moduli spaces. Zbl 1403.14036
Nakajima, Hiraku
2017
Towards a mathematical definition of Coulomb branches of $$3$$-dimensional $$\mathcal{N}=4$$ gauge theories. I. Zbl 1433.81121
Nakajima, Hiraku
2016
Instanton moduli spaces and $$\mathcal W$$-algebras. Zbl 1435.14001
Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku
2016
More lectures on Hilbert schemes of points on surfaces. Zbl 1369.14012
Nakajima, Hiraku
2016
Affine cellularity of quantum affine algebras: an appendix to “Affine cellularity of BLN-algebras” by Weideng Cui. Zbl 1378.17029
Nakajima, Hiraku
2015
A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes. Zbl 1353.14007
Buryak, Alexandr; Feigin, Boris Lvovich; Nakajima, Hiraku
2015
Refined Chern-Simons theory and Hilbert schemes of points on the plane. Zbl 1298.14008
Nakajima, Hiraku
2014
Cluster algebras and singular supports of perverse sheaves. Zbl 1353.13024
Nakajima, Hiraku
2014
Quiver varieties and tensor products. II. Zbl 1309.17010
Nakajima, Hiraku
2013
Handsaw quiver varieties and finite $$W$$-algebras. Zbl 1290.17013
Nakajima, Hiraku
2012
Quiver varieties and cluster algebras. Zbl 1223.13013
Nakajima, Hiraku
2011
Counting invariant of perverse coherent sheaves and its wall-crossing. Zbl 1250.14021
Nagao, Kentaro; Nakajima, Hiraku
2011
Donaldson = Seiberg-Witten from Mochizuki’s formula and instanton counting. Zbl 1259.14046
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kota
2011
Perverse coherent sheaves on blowup. III: Blow-up formula from wall-crossing. Zbl 1220.14012
Nakajima, Hiraku; Yoshioka, Kōta
2011
Perverse coherent sheaves on blow-up. I. A quiver description. Zbl 1247.14009
Nakajima, Hiraku; Yoshioka, Kota
2011
Perverse coherent sheaves on blow-up. II: Wall-crossing and Betti numbers formula. Zbl 1208.32013
Nakajima, Hiraku; Yoshioka, Kota
2011
$$t$$-analogs of $$q$$-characters of quantum affine algebras of type $$E_6$$, $$E_7$$, $$E_8$$. Zbl 1259.17015
Nakajima, Hiraku
2010
Instanton counting and Donaldson invariants. Zbl 1225.14010
Nakajima, Hiraku; Yoshioka, Kōda
2010
$$K$$-theoretic Donaldson invariants via instanton counting. Zbl 1192.14011
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
2009
Quiver varieties and branching. Zbl 1241.17028
Nakajima, Hiraku
2009
Instanton counting and Donaldson invariants. Zbl 1172.57015
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
2008
Sheaves on ALE spaces and quiver varieties. Zbl 1166.14007
Nakajima, Hiraku
2007
Crystal, canonical and PBW bases of quantum affine algebras. Zbl 1194.17009
Nakajima, Hiraku
2007
Level 0 monomial crystals. Zbl 1201.17008
Hernandez, David; Nakajima, Hiraku
2006
Quiver varieties and quantum affine algebras. Zbl 1246.17021
Nakajima, Hiraku
2006
Instanton counting on blowup. I: 4-dimensional pure gauge theory. Zbl 1100.14009
Nakajima, Hiraku; Yoshioka, Kota
2005
Instanton counting on blowup. II: $$K$$-theoretic partition function. Zbl 1110.14015
Nakajima, Hiraku; Yoshioka, Kota
2005
Quiver varieties and $$t$$-analogs of $$q$$-characters of quantum affine algebras. Zbl 1140.17015
Nakajima, Hiraku
2005
Lectures on instanton counting. Zbl 1080.14016
Nakajima, Hiraku; Yoshioka, Kōta
2004
Crystal bases and two-sided cells of quantum affine algebras. Zbl 1062.17006
Beck, Jonathan; Nakajima, Hiraku
2004
Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima). Zbl 1065.16009
Crawley-Boevey, William; Van den Bergh, Michel
2004
Extremal weight modules of quantum affine algebra. Zbl 1088.17008
Nakajima, Hiraku
2004
Cells in quantum affine algebras. Zbl 1062.17012
Nakajima, Hiraku
2004
$$t$$-analogs of $$q$$-characters of Kirillov-Reshetikhin modules of quantum affine algebras. Zbl 1078.17008
Nakajima, Hiraku
2003
$$t$$-analogs of $$q$$-characters of quantum affine algebras of type $$A_n$$, $$D_n$$. Zbl 1098.17013
Nakajima, Hiraku
2003
Reflection functors for quiver varieties and Weyl group actions. Zbl 1060.16017
Nakajima, Hiraku
2003
Convolution on homology groups of moduli spaces of sheaves on $$K3$$ surfaces. Zbl 1064.14043
Nakajima, Hiraku
2003
Geometric construction of representations of affine algebras. Zbl 1049.17014
Nakajima, Hiraku
2002
Quiver varieties and finite dimensional representations of quantum affine algebras. Zbl 0981.17016
Nakajima, Hiraku
2001
Quiver varieties and tensor products. Zbl 1023.17008
Nakajima, Hiraku
2001
$$t$$-analogue of the $$q$$-characters of finite-dimensional representations of quantum affine algebras. Zbl 1011.17013
Nakajima, Hiraku
2001
Moduli of sheaves on blown-up surfaces. Zbl 1322.14028
Nakajima, Hiraku
2001
McKay correspondence and Hilbert schemes in dimension three. Zbl 0995.14001
Ito, Yukari; Nakajima, Hiraku
2000
Lectures on Hilbert schemes of points on surfaces. Zbl 0949.14001
Nakajima, Hiraku
1999
Quiver varieties and Kac-Moody algebras. Zbl 0970.17017
Nakajima, Hiraku
1998
Heisenberg algebra and Hilbert schemes of points on projective surfaces. Zbl 0915.14001
Nakajima, Hiraku
1997
Varieties associated with quivers. Zbl 0870.16008
Nakajima, Hiraku
1996
Hyper-Kähler structures on moduli spaces of parabolic Higgs bundles on Riemann surfaces. Zbl 0881.14006
Nakajima, Hiraku
1996
Instantons and affine Lie algebras. Zbl 0957.17504
Nakajima, Hiraku
1996
Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras. Zbl 0826.17026
Nakajima, Hiraku
1994
Homology of moduli spaces of instantons on ALE spaces. I. Zbl 0822.53019
Nakajima, Hiraku
1994
Gauge theory on resolutions of simple singularities and simple Lie algebras. Zbl 0832.58007
Nakajima, Hiraku
1994
Resolutions of moduli spaces of ideal instantons on $$\mathbb{R}^4$$. Zbl 0891.57023
Nakajima, Hiraku
1994
A convergence theorem for Einstein metrics and the ALE spaces. Zbl 0808.53046
Nakajima, Hiraku
1994
Monopoles and Nahm’s equations. Zbl 0788.53068
Nakajima, Hiraku
1993
Einstein-Hermitian connections on hyper-Kähler quotients. Zbl 0767.53045
Gocho, Toru; Nakajima, Hiraku
1992
Yang-Mills instantons on ALE gravitational instantons. Zbl 0694.53025
Kronheimer, Peter B.; Nakajima, Hiraku
1990
Moduli spaces of anti-self-dual connections on ALE gravitational instantons. Zbl 0714.53026
Nakajima, Hiraku
1990
Self-duality of ALE Ricci-flat 4-manifolds and positive mass theorem. Zbl 0744.53025
Nakajima, Hiraku
1990
Yang-Mills connections and Einstein-Hermitian metrics. Zbl 0755.58012
Itoh, Mitsuhiro; Nakajima, Hiraku
1990
On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth. Zbl 0682.53045
Bando, Shigetoshi; Kasue, Atsushi; Nakajima, Hiraku
1989
Yau’s trick. Zbl 0736.53041
Nakajima, Hiraku
1989
Hausdorff convergence of Einstein 4-manifolds. Zbl 0655.53037
Nakajima, Hiraku
1988
Compactness of the moduli space of Yang-Mills connections in higher dimensions. Zbl 0647.53030
Nakajima, Hiraku
1988
Removable singularities for Yang-Mills connections in higher dimensions. Zbl 0637.58026
Nakajima, Hiraku
1987
all top 5

### Cited by 1,201 Authors

 23 Nakajima, Hiraku 18 Kashiwara, Masaki 15 Chari, Vyjayanthi 15 Hanany, Amihay 14 Hernandez, David 14 Scrimshaw, Travis 14 Szabo, Richard J. 13 Kim, Jeong-Ah 13 Shin, Dong-Uy 13 Tanzini, Alessandro 12 Kang, Seok-Jin 12 Nekrasov, Nikita Alexandrovich 12 Oh, Se-jin 11 Bonelli, Giulio 11 Finkelberg, Michael Vladlenovich 11 Gukov, Sergei 11 Hausel, Tamás 11 Jardim, Marcos 11 Kamnitzer, Joel 11 Kim, Myungho 11 Li, Yiqiang 10 Bershteĭn, Mikhaĭl Aleksandrovich 10 Jing, Naihuan 10 Savage, Alistair 10 Viaclovsky, Jeff A. 9 Cautis, Sabin 9 Dimofte, Tudor Dan 9 Feĭgin, Boris L’vovich 9 Negut, Andrei 9 Okun’kov, Andreĭ Yur’evich 9 Sagaki, Daisuke 9 Schilling, Anne 9 Smirnov, Andrey V. 8 Bruzzo, Ugo 8 Fucito, Francesco 8 Gaiotto, Davide 8 Göttsche, Lothar 8 Licata, Anthony M. 8 Mekareeya, Noppadol 8 Naito, Satoshi 8 Okado, Masato 8 Tsymbaliuk, Oleksandr 8 Vasserot, Eric 8 Zhao, Gufang 7 Cirafici, Michele 7 Craw, Alastair 7 Fourier, Ghislain 7 Huang, Minxin 7 Kanno, Hiroaki 7 Kimura, Taro 7 Moore, Gregory Winthrop 7 Morales, Jose Francisco 7 Morozov, Alexei Yurievich 7 Nagao, Kentaro 7 Park, Euiyong 7 Pestun, Vasily 7 Poghossian, Rubik 7 Sala, Francesco 7 Schiffmann, Olivier G. 7 Szendrői, Balázs 7 Tian, Gang 7 Tingley, Peter W. 7 Webster, Ben 6 Awata, Hidetoshi 6 Boissière, Samuel 6 Bullimore, Mathew Richard 6 Cheeger, Jeff 6 Creutzig, Thomas 6 Diaconescu, Duiliu-Emanuel 6 Etingof, Pavel Il’ich 6 Feehan, Paul M. N. 6 Gyenge, Ádám 6 Klemm, Albrecht 6 Koroteev, Peter 6 Kus, Deniz 6 Lee, Hyeonmi 6 Lee, Kyungyong 6 Maulik, Davesh 6 McGerty, Kevin 6 Oblomkov, Alexei A. 6 Ooguri, Hirosi 6 Schiffler, Ralf 6 Sharpe, Eric R. 6 Vafa, Cumrun 6 Varchenko, Alexander Nikolaevich 6 Wang, Weiqiang 6 Yang, Yaping 6 Yoshioka, Kōta 5 Anderson, Michael T. 5 Cabrera, Santiago 5 Carlsson, Erik 5 Chen, Xiuxiong 5 Davison, Ben 5 Grassi, Alba 5 Greenstein, Jacob 5 Gu, Jie 5 Khovanov, Mikhail G. 5 Kodera, Ryosuke 5 Kwon, Jae-Hoon 5 Leness, Thomas G. ...and 1,101 more Authors
all top 5

### Cited in 163 Serials

 139 Journal of High Energy Physics 112 Advances in Mathematics 69 Journal of Algebra 63 Communications in Mathematical Physics 53 Nuclear Physics. B 41 Duke Mathematical Journal 38 Letters in Mathematical Physics 38 Journal of Geometry and Physics 34 Selecta Mathematica. New Series 29 Mathematische Annalen 28 Mathematische Zeitschrift 26 Inventiones Mathematicae 23 Transformation Groups 21 Representation Theory 20 Compositio Mathematica 20 Algebras and Representation Theory 19 Transactions of the American Mathematical Society 19 Geometry & Topology 18 Journal für die Reine und Angewandte Mathematik 17 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 14 Communications in Algebra 14 Journal of the American Mathematical Society 14 International Journal of Mathematics 13 Journal of Pure and Applied Algebra 13 Publications of the Research Institute for Mathematical Sciences, Kyoto University 12 Journal of Mathematical Physics 12 Journal of Algebraic Combinatorics 12 Journal of Algebraic Geometry 10 Kyoto Journal of Mathematics 8 Differential Geometry and its Applications 8 The Journal of Geometric Analysis 8 Geometric and Functional Analysis. GAFA 7 International Journal of Modern Physics A 7 Theoretical and Mathematical Physics 7 Proceedings of the American Mathematical Society 7 Annals of Mathematics. Second Series 7 Journal of the European Mathematical Society (JEMS) 6 Annales de l’Institut Fourier 6 Journal of Combinatorial Theory. Series A 6 Manuscripta Mathematica 6 Nagoya Mathematical Journal 6 Annals of Global Analysis and Geometry 6 Bulletin of the American Mathematical Society. New Series 6 Calculus of Variations and Partial Differential Equations 6 Annales Henri Poincaré 6 Forum of Mathematics, Sigma 5 Publications Mathématiques 5 Proceedings of the Japan Academy. Series A 5 Tohoku Mathematical Journal. Second Series 5 Acta Mathematica Sinica. English Series 4 Physics Letters. B 4 Geometriae Dedicata 4 Memoirs of the American Mathematical Society 4 Linear Algebra and its Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Japanese Journal of Mathematics. 3rd Series 4 Science China. Mathematics 3 Communications on Pure and Applied Mathematics 3 Journal of Mathematical Analysis and Applications 3 Reviews in Mathematical Physics 3 Journal of Functional Analysis 3 Proceedings of the London Mathematical Society. Third Series 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Nuclear Physics. B. Proceedings Supplements 3 Bulletin des Sciences Mathématiques 3 Communications in Contemporary Mathematics 3 Central European Journal of Mathematics 3 Journal of the Institute of Mathematics of Jussieu 3 Journal of Algebra and its Applications 3 Algebra & Number Theory 3 European Journal of Mathematics 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Mathematica 2 Bulletin de la Société Mathématique de France 2 Commentarii Mathematici Helvetici 2 Functional Analysis and its Applications 2 Glasgow Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 European Journal of Combinatorics 2 Revista Matemática Iberoamericana 2 Sugaku Expositions 2 IMRN. International Mathematics Research Notices 2 Proceedings of the National Academy of Sciences of the United States of America 2 The Electronic Journal of Combinatorics 2 Documenta Mathematica 2 Séminaire Lotharingien de Combinatoire 2 Annals of Combinatorics 2 LMS Journal of Computation and Mathematics 2 Frontiers of Mathematics in China 2 Journal of Noncommutative Geometry 2 Journal of Physics A: Mathematical and Theoretical 2 Advances in Mathematical Physics 2 Quantum Topology 2 Forum of Mathematics, Pi 2 Nonlinear Analysis. Theory, Methods & Applications 2 Arnold Mathematical Journal 2 Journal de l’École Polytechnique – Mathématiques 2 Algebraic Combinatorics 1 Modern Physics Letters A ...and 63 more Serials
all top 5

### Cited in 43 Fields

 532 Algebraic geometry (14-XX) 424 Quantum theory (81-XX) 386 Nonassociative rings and algebras (17-XX) 284 Differential geometry (53-XX) 206 Associative rings and algebras (16-XX) 99 Group theory and generalizations (20-XX) 95 Combinatorics (05-XX) 93 Global analysis, analysis on manifolds (58-XX) 81 Commutative algebra (13-XX) 71 Relativity and gravitational theory (83-XX) 65 Several complex variables and analytic spaces (32-XX) 64 Manifolds and cell complexes (57-XX) 53 Category theory; homological algebra (18-XX) 32 Statistical mechanics, structure of matter (82-XX) 30 Topological groups, Lie groups (22-XX) 29 Partial differential equations (35-XX) 27 $$K$$-theory (19-XX) 26 Algebraic topology (55-XX) 23 Dynamical systems and ergodic theory (37-XX) 17 Special functions (33-XX) 17 Mechanics of particles and systems (70-XX) 16 Ordinary differential equations (34-XX) 13 Number theory (11-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 Difference and functional equations (39-XX) 8 Convex and discrete geometry (52-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 5 Geometry (51-XX) 4 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Fluid mechanics (76-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX)

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