Edit Profile (opens in new tab) Nakajima, Hiraku Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0826.17026Nakajima, Hiraku 243 1994 Lectures on Hilbert schemes of points on surfaces. Zbl 0949.14001Nakajima, Hiraku 233 1999 Quiver varieties and finite dimensional representations of quantum affine algebras. Zbl 0981.17016Nakajima, Hiraku 155 2001 Quiver varieties and Kac-Moody algebras. Zbl 0970.17017Nakajima, Hiraku 137 1998 On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth. Zbl 0682.53045Bando, Shigetoshi; Kasue, Atsushi; Nakajima, Hiraku 120 1989 Instanton counting on blowup. I: 4-dimensional pure gauge theory. Zbl 1100.14009Nakajima, Hiraku; Yoshioka, Kota 113 2005 Yang-Mills instantons on ALE gravitational instantons. Zbl 0694.53025Kronheimer, Peter B.; Nakajima, Hiraku 99 1990 Heisenberg algebra and Hilbert schemes of points on projective surfaces. Zbl 0915.14001Nakajima, Hiraku 84 1997 Lectures on instanton counting. Zbl 1080.14016Nakajima, Hiraku; Yoshioka, Kōta 83 2004 Crystal bases and two-sided cells of quantum affine algebras. Zbl 1062.17006Beck, Jonathan; Nakajima, Hiraku 63 2004 Instanton counting on blowup. II: \(K\)-theoretic partition function. Zbl 1110.14015Nakajima, Hiraku; Yoshioka, Kota 61 2005 Towards a mathematical definition of Coulomb branches of \(3\)-dimensional \(\mathcal{N}=4\) gauge theories. I. Zbl 1433.81121Nakajima, Hiraku 59 2016 \(t\)-analogs of \(q\)-characters of Kirillov-Reshetikhin modules of quantum affine algebras. Zbl 1078.17008Nakajima, Hiraku 58 2003 Quiver varieties and cluster algebras. Zbl 1223.13013Nakajima, Hiraku 57 2011 Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras. Zbl 1140.17015Nakajima, Hiraku 57 2005 \(t\)-analogs of \(q\)-characters of quantum affine algebras of type \(A_n\), \(D_n\). Zbl 1098.17013Nakajima, Hiraku 48 2003 \(K\)-theoretic Donaldson invariants via instanton counting. Zbl 1192.14011Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta 39 2009 Quiver varieties and tensor products. Zbl 1023.17008Nakajima, Hiraku 39 2001 Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima). Zbl 1065.16009Crawley-Boevey, William; Van den Bergh, Michel 37 2004 McKay correspondence and Hilbert schemes in dimension three. Zbl 0995.14001Ito, Yukari; Nakajima, Hiraku 37 2000 Instanton counting and Donaldson invariants. Zbl 1172.57015Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta 30 2008 Counting invariant of perverse coherent sheaves and its wall-crossing. Zbl 1250.14021Nagao, Kentaro; Nakajima, Hiraku 25 2011 Extremal weight modules of quantum affine algebra. Zbl 1088.17008Nakajima, Hiraku 25 2004 \(t\)-analogue of the \(q\)-characters of finite-dimensional representations of quantum affine algebras. Zbl 1011.17013Nakajima, Hiraku 25 2001 Hausdorff convergence of Einstein 4-manifolds. Zbl 0655.53037Nakajima, Hiraku 23 1988 Donaldson = Seiberg-Witten from Mochizuki’s formula and instanton counting. Zbl 1259.14046Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kota 21 2011 Homology of moduli spaces of instantons on ALE spaces. I. Zbl 0822.53019Nakajima, Hiraku 21 1994 Quiver varieties and branching. Zbl 1241.17028Nakajima, Hiraku 20 2009 Perverse coherent sheaves on blowup. III: Blow-up formula from wall-crossing. Zbl 1220.14012Nakajima, Hiraku; Yoshioka, Kōta 20 2011 Compactness of the moduli space of Yang-Mills connections in higher dimensions. Zbl 0647.53030Nakajima, Hiraku 19 1988 Instanton moduli spaces and \(\mathcal W\)-algebras. Zbl 1435.14001Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 19 2016 Varieties associated with quivers. Zbl 0870.16008Nakajima, Hiraku 19 1996 Level 0 monomial crystals. Zbl 1201.17008Hernandez, David; Nakajima, Hiraku 18 2006 Reflection functors for quiver varieties and Weyl group actions. Zbl 1060.16017Nakajima, Hiraku 18 2003 Sheaves on ALE spaces and quiver varieties. Zbl 1166.14007Nakajima, Hiraku 17 2007 Coproduct for Yangians of affine Kac-Moody algebras. Zbl 1447.17012Guay, Nicolas; Nakajima, Hiraku; Wendlandt, Curtis 16 2018 Einstein-Hermitian connections on hyper-Kähler quotients. Zbl 0767.53045Gocho, Toru; Nakajima, Hiraku 14 1992 Geometric construction of representations of affine algebras. Zbl 1049.17014Nakajima, Hiraku 14 2002 Gauge theory on resolutions of simple singularities and simple Lie algebras. Zbl 0832.58007Nakajima, Hiraku 14 1994 Moduli spaces of anti-self-dual connections on ALE gravitational instantons. Zbl 0714.53026Nakajima, Hiraku 13 1990 Monopoles and Nahm’s equations. Zbl 0788.53068Nakajima, Hiraku 12 1993 Perverse coherent sheaves on blow-up. I. A quiver description. Zbl 1247.14009Nakajima, Hiraku; Yoshioka, Kota 11 2011 Handsaw quiver varieties and finite \(W\)-algebras. Zbl 1290.17013Nakajima, Hiraku 11 2012 Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type \(A\). Zbl 1431.16014Nakajima, Hiraku; Takayama, Yuuya 11 2017 Hyper-Kähler structures on moduli spaces of parabolic Higgs bundles on Riemann surfaces. Zbl 0881.14006Nakajima, Hiraku 11 1996 \(t\)-analogs of \(q\)-characters of quantum affine algebras of type \(E_6\), \(E_7\), \(E_8\). Zbl 1259.17015Nakajima, Hiraku 10 2010 More lectures on Hilbert schemes of points on surfaces. Zbl 1369.14012Nakajima, Hiraku 9 2016 Self-duality of ALE Ricci-flat 4-manifolds and positive mass theorem. Zbl 0744.53025Nakajima, Hiraku 9 1990 Removable singularities for Yang-Mills connections in higher dimensions. Zbl 0637.58026Nakajima, Hiraku 8 1987 Perverse coherent sheaves on blow-up. II: Wall-crossing and Betti numbers formula. Zbl 1208.32013Nakajima, Hiraku; Yoshioka, Kota 8 2011 Virtual refinements of the Vafa-Witten formula. Zbl 1440.14253Göttsche, Lothar; Kool, Martijn 8 2020 Resolutions of moduli spaces of ideal instantons on \(\mathbb{R}^4\). Zbl 0891.57023Nakajima, Hiraku 8 1994 A convergence theorem for Einstein metrics and the ALE spaces. Zbl 0808.53046Nakajima, Hiraku 7 1994 Refined Chern-Simons theory and Hilbert schemes of points on the plane. Zbl 1298.14008Nakajima, Hiraku 6 2014 Quiver varieties and tensor products. II. Zbl 1309.17010Nakajima, Hiraku 6 2013 Affine cellularity of quantum affine algebras: an appendix to “Affine cellularity of BLN-algebras” by Weideng Cui. Zbl 1378.17029Nakajima, Hiraku 6 2015 Towards a mathematical definition of Coulomb branches of 3-dimensional \(\mathcal{N} = 4\) gauge theories. II. Zbl 1479.81043Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 6 2018 Introduction to a provisional mathematical definition of Coulomb branches of 3-dimensional \(\mathcal{N}=4\) gauge theories. Zbl 1471.22020Nakajima, Hiraku 6 2018 Yau’s trick. Zbl 0736.53041Nakajima, Hiraku 5 1989 Coulomb branches of \(3d\) \(\mathcal{N}=4\) quiver gauge theories and slices in the affine Grassmannian. Zbl 1479.81044Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 5 2019 Introduction to quiver varieties – for ring and representation theorists. Zbl 1437.17007Nakajima, Hiraku 5 2017 Instantons and affine Lie algebras. Zbl 0957.17504Nakajima, Hiraku 5 1996 Yang-Mills connections and Einstein-Hermitian metrics. Zbl 0755.58012Itoh, Mitsuhiro; Nakajima, Hiraku 4 1990 Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. Zbl 1471.81084Gukov, Sergei; Hsin, Po-Shen; Nakajima, Hiraku; Park, Sunghyuk; Pei, Du; Sopenko, Nikita 4 2021 Lectures on perverse sheaves on instanton moduli spaces. Zbl 1403.14036Nakajima, Hiraku 4 2017 Quantized Coulomb brances of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras. Zbl 1469.20006Kodera, Ryosuke; Nakajima, Hiraku 4 2018 A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes. Zbl 1353.14007Buryak, Alexandr; Feigin, Boris Lvovich; Nakajima, Hiraku 3 2015 Instanton counting and Donaldson invariants. Zbl 1225.14010Nakajima, Hiraku; Yoshioka, Kōda 3 2010 Quiver varieties and quantum affine algebras. Zbl 1246.17021Nakajima, Hiraku 2 2006 Cells in quantum affine algebras. Zbl 1062.17012Nakajima, Hiraku 2 2004 Crystal, canonical and PBW bases of quantum affine algebras. Zbl 1194.17009Nakajima, Hiraku 2 2007 Convolution on homology groups of moduli spaces of sheaves on \(K3\) surfaces. Zbl 1064.14043Nakajima, Hiraku 2 2003 Ring objects in the equivariant derived Satake category arising from Coulomb branches. Zbl 1476.14040Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 1 2019 Moduli of sheaves on blown-up surfaces. Zbl 1322.14028Nakajima, Hiraku 1 2001 Cluster algebras and singular supports of perverse sheaves. Zbl 1353.13024Nakajima, Hiraku 1 2014 Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. Zbl 1471.81084Gukov, Sergei; Hsin, Po-Shen; Nakajima, Hiraku; Park, Sunghyuk; Pei, Du; Sopenko, Nikita 4 2021 Virtual refinements of the Vafa-Witten formula. Zbl 1440.14253Göttsche, Lothar; Kool, Martijn 8 2020 Coulomb branches of \(3d\) \(\mathcal{N}=4\) quiver gauge theories and slices in the affine Grassmannian. Zbl 1479.81044Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 5 2019 Ring objects in the equivariant derived Satake category arising from Coulomb branches. Zbl 1476.14040Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 1 2019 Coproduct for Yangians of affine Kac-Moody algebras. Zbl 1447.17012Guay, Nicolas; Nakajima, Hiraku; Wendlandt, Curtis 16 2018 Towards a mathematical definition of Coulomb branches of 3-dimensional \(\mathcal{N} = 4\) gauge theories. II. Zbl 1479.81043Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 6 2018 Introduction to a provisional mathematical definition of Coulomb branches of 3-dimensional \(\mathcal{N}=4\) gauge theories. Zbl 1471.22020Nakajima, Hiraku 6 2018 Quantized Coulomb brances of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras. Zbl 1469.20006Kodera, Ryosuke; Nakajima, Hiraku 4 2018 Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type \(A\). Zbl 1431.16014Nakajima, Hiraku; Takayama, Yuuya 11 2017 Introduction to quiver varieties – for ring and representation theorists. Zbl 1437.17007Nakajima, Hiraku 5 2017 Lectures on perverse sheaves on instanton moduli spaces. Zbl 1403.14036Nakajima, Hiraku 4 2017 Towards a mathematical definition of Coulomb branches of \(3\)-dimensional \(\mathcal{N}=4\) gauge theories. I. Zbl 1433.81121Nakajima, Hiraku 59 2016 Instanton moduli spaces and \(\mathcal W\)-algebras. Zbl 1435.14001Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 19 2016 More lectures on Hilbert schemes of points on surfaces. Zbl 1369.14012Nakajima, Hiraku 9 2016 Affine cellularity of quantum affine algebras: an appendix to “Affine cellularity of BLN-algebras” by Weideng Cui. Zbl 1378.17029Nakajima, Hiraku 6 2015 A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes. Zbl 1353.14007Buryak, Alexandr; Feigin, Boris Lvovich; Nakajima, Hiraku 3 2015 Refined Chern-Simons theory and Hilbert schemes of points on the plane. Zbl 1298.14008Nakajima, Hiraku 6 2014 Cluster algebras and singular supports of perverse sheaves. Zbl 1353.13024Nakajima, Hiraku 1 2014 Quiver varieties and tensor products. II. Zbl 1309.17010Nakajima, Hiraku 6 2013 Handsaw quiver varieties and finite \(W\)-algebras. Zbl 1290.17013Nakajima, Hiraku 11 2012 Quiver varieties and cluster algebras. Zbl 1223.13013Nakajima, Hiraku 57 2011 Counting invariant of perverse coherent sheaves and its wall-crossing. Zbl 1250.14021Nagao, Kentaro; Nakajima, Hiraku 25 2011 Donaldson = Seiberg-Witten from Mochizuki’s formula and instanton counting. Zbl 1259.14046Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kota 21 2011 Perverse coherent sheaves on blowup. III: Blow-up formula from wall-crossing. Zbl 1220.14012Nakajima, Hiraku; Yoshioka, Kōta 20 2011 Perverse coherent sheaves on blow-up. I. A quiver description. Zbl 1247.14009Nakajima, Hiraku; Yoshioka, Kota 11 2011 Perverse coherent sheaves on blow-up. II: Wall-crossing and Betti numbers formula. Zbl 1208.32013Nakajima, Hiraku; Yoshioka, Kota 8 2011 \(t\)-analogs of \(q\)-characters of quantum affine algebras of type \(E_6\), \(E_7\), \(E_8\). Zbl 1259.17015Nakajima, Hiraku 10 2010 Instanton counting and Donaldson invariants. Zbl 1225.14010Nakajima, Hiraku; Yoshioka, Kōda 3 2010 \(K\)-theoretic Donaldson invariants via instanton counting. Zbl 1192.14011Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta 39 2009 Quiver varieties and branching. Zbl 1241.17028Nakajima, Hiraku 20 2009 Instanton counting and Donaldson invariants. Zbl 1172.57015Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta 30 2008 Sheaves on ALE spaces and quiver varieties. Zbl 1166.14007Nakajima, Hiraku 17 2007 Crystal, canonical and PBW bases of quantum affine algebras. Zbl 1194.17009Nakajima, Hiraku 2 2007 Level 0 monomial crystals. Zbl 1201.17008Hernandez, David; Nakajima, Hiraku 18 2006 Quiver varieties and quantum affine algebras. Zbl 1246.17021Nakajima, Hiraku 2 2006 Instanton counting on blowup. I: 4-dimensional pure gauge theory. Zbl 1100.14009Nakajima, Hiraku; Yoshioka, Kota 113 2005 Instanton counting on blowup. II: \(K\)-theoretic partition function. Zbl 1110.14015Nakajima, Hiraku; Yoshioka, Kota 61 2005 Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras. Zbl 1140.17015Nakajima, Hiraku 57 2005 Lectures on instanton counting. Zbl 1080.14016Nakajima, Hiraku; Yoshioka, Kōta 83 2004 Crystal bases and two-sided cells of quantum affine algebras. Zbl 1062.17006Beck, Jonathan; Nakajima, Hiraku 63 2004 Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima). Zbl 1065.16009Crawley-Boevey, William; Van den Bergh, Michel 37 2004 Extremal weight modules of quantum affine algebra. Zbl 1088.17008Nakajima, Hiraku 25 2004 Cells in quantum affine algebras. Zbl 1062.17012Nakajima, Hiraku 2 2004 \(t\)-analogs of \(q\)-characters of Kirillov-Reshetikhin modules of quantum affine algebras. Zbl 1078.17008Nakajima, Hiraku 58 2003 \(t\)-analogs of \(q\)-characters of quantum affine algebras of type \(A_n\), \(D_n\). Zbl 1098.17013Nakajima, Hiraku 48 2003 Reflection functors for quiver varieties and Weyl group actions. Zbl 1060.16017Nakajima, Hiraku 18 2003 Convolution on homology groups of moduli spaces of sheaves on \(K3\) surfaces. Zbl 1064.14043Nakajima, Hiraku 2 2003 Geometric construction of representations of affine algebras. Zbl 1049.17014Nakajima, Hiraku 14 2002 Quiver varieties and finite dimensional representations of quantum affine algebras. Zbl 0981.17016Nakajima, Hiraku 155 2001 Quiver varieties and tensor products. Zbl 1023.17008Nakajima, Hiraku 39 2001 \(t\)-analogue of the \(q\)-characters of finite-dimensional representations of quantum affine algebras. Zbl 1011.17013Nakajima, Hiraku 25 2001 Moduli of sheaves on blown-up surfaces. Zbl 1322.14028Nakajima, Hiraku 1 2001 McKay correspondence and Hilbert schemes in dimension three. Zbl 0995.14001Ito, Yukari; Nakajima, Hiraku 37 2000 Lectures on Hilbert schemes of points on surfaces. Zbl 0949.14001Nakajima, Hiraku 233 1999 Quiver varieties and Kac-Moody algebras. Zbl 0970.17017Nakajima, Hiraku 137 1998 Heisenberg algebra and Hilbert schemes of points on projective surfaces. Zbl 0915.14001Nakajima, Hiraku 84 1997 Varieties associated with quivers. Zbl 0870.16008Nakajima, Hiraku 19 1996 Hyper-Kähler structures on moduli spaces of parabolic Higgs bundles on Riemann surfaces. Zbl 0881.14006Nakajima, Hiraku 11 1996 Instantons and affine Lie algebras. Zbl 0957.17504Nakajima, Hiraku 5 1996 Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras. Zbl 0826.17026Nakajima, Hiraku 243 1994 Homology of moduli spaces of instantons on ALE spaces. I. Zbl 0822.53019Nakajima, Hiraku 21 1994 Gauge theory on resolutions of simple singularities and simple Lie algebras. Zbl 0832.58007Nakajima, Hiraku 14 1994 Resolutions of moduli spaces of ideal instantons on \(\mathbb{R}^4\). Zbl 0891.57023Nakajima, Hiraku 8 1994 A convergence theorem for Einstein metrics and the ALE spaces. Zbl 0808.53046Nakajima, Hiraku 7 1994 Monopoles and Nahm’s equations. Zbl 0788.53068Nakajima, Hiraku 12 1993 Einstein-Hermitian connections on hyper-Kähler quotients. Zbl 0767.53045Gocho, Toru; Nakajima, Hiraku 14 1992 Yang-Mills instantons on ALE gravitational instantons. Zbl 0694.53025Kronheimer, Peter B.; Nakajima, Hiraku 99 1990 Moduli spaces of anti-self-dual connections on ALE gravitational instantons. Zbl 0714.53026Nakajima, Hiraku 13 1990 Self-duality of ALE Ricci-flat 4-manifolds and positive mass theorem. Zbl 0744.53025Nakajima, Hiraku 9 1990 Yang-Mills connections and Einstein-Hermitian metrics. Zbl 0755.58012Itoh, Mitsuhiro; Nakajima, Hiraku 4 1990 On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth. Zbl 0682.53045Bando, Shigetoshi; Kasue, Atsushi; Nakajima, Hiraku 120 1989 Yau’s trick. Zbl 0736.53041Nakajima, Hiraku 5 1989 Hausdorff convergence of Einstein 4-manifolds. Zbl 0655.53037Nakajima, Hiraku 23 1988 Compactness of the moduli space of Yang-Mills connections in higher dimensions. Zbl 0647.53030Nakajima, Hiraku 19 1988 Removable singularities for Yang-Mills connections in higher dimensions. Zbl 0637.58026Nakajima, Hiraku 8 1987 all cited Publications top 5 cited Publications 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.