Edit Profile (opens in new tab) Nakajima, Hiraku Co-Author Distance Author ID: nakajima.hiraku Published as: Nakajima, Hiraku; Nakajima, H. Further Spellings: 中島 啓; Накаджима Х Homepage: https://member.ipmu.jp/hiraku.nakajima/ External Links: MGP · ORCID · Wikidata · Google Scholar · Twitter · Math-Net.Ru · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 95 Publications since 1987, including 2 Books and 10 Additional arXiv Preprints 3 Contributions as Editor · 2 Further Contributions Co-Authors: 45 Co-Authors with 37 Joint Publications 968 Co-Co-Authors all top 5 Co-Authors 60 single-authored 10 Yoshioka, Kōta 8 Braverman, Alexander 8 Finkelberg, Michael Vladlenovich 4 Göttsche, Lothar 2 Gukov, Sergei 2 Pei, Du 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 Cui, Weideng 1 Dedushenko, Mykola 1 Feĭgin, Boris L’vovich 1 Gocho, Toru 1 Guay, Nicolas 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 Nakanishi, Kenji 1 Ohtsuki, Tomotada 1 Ono, Kaoru 1 Ozawa, Narutaka 1 Park, Sunghyuk 1 Saito, Yoshihisa 1 Sopenko, Nikita 1 Takayama, Yuuya 1 Tamagawa, Akio 1 Van den Bergh, Michel 1 Weekes, Alex 1 Wendlandt, Curtis 1 Yamada, Michio 1 Ye, Ke 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 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 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 Journal of the European Mathematical Society (JEMS) 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 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 54 Algebraic geometry (14-XX) 42 Nonassociative rings and algebras (17-XX) 27 Differential geometry (53-XX) 23 Quantum theory (81-XX) 18 Associative rings and algebras (16-XX) 10 Manifolds and cell complexes (57-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Group theory and generalizations (20-XX) 6 Special functions (33-XX) 5 Topological groups, Lie groups (22-XX) 5 Several complex variables and analytic spaces (32-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Partial differential equations (35-XX) 2 Geometry (51-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 3,455 times in 1,827 Documents Cited by ▼ Year ▼ Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras. Zbl 0826.17026 Nakajima, Hiraku 334 1994 Lectures on Hilbert schemes of points on surfaces. Zbl 0949.14001 Nakajima, Hiraku 320 1999 Quiver varieties and finite dimensional representations of quantum affine algebras. Zbl 0981.17016 Nakajima, Hiraku 200 2001 Quiver varieties and Kac-Moody algebras. Zbl 0970.17017 Nakajima, Hiraku 175 1998 Instanton counting on blowup. I: 4-dimensional pure gauge theory. Zbl 1100.14009 Nakajima, Hiraku; Yoshioka, Kota 162 2005 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 148 1989 Yang-Mills instantons on ALE gravitational instantons. Zbl 0694.53025 Kronheimer, Peter B.; Nakajima, Hiraku 131 1990 Heisenberg algebra and Hilbert schemes of points on projective surfaces. Zbl 0915.14001 Nakajima, Hiraku 111 1997 Towards a mathematical definition of Coulomb branches of \(3\)-dimensional \(\mathcal{N}=4\) gauge theories. I. Zbl 1433.81121 Nakajima, Hiraku 109 2016 Lectures on instanton counting. Zbl 1080.14016 Nakajima, Hiraku; Yoshioka, Kōta 102 2004 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 97 2018 Instanton counting on blowup. II: \(K\)-theoretic partition function. Zbl 1110.14015 Nakajima, Hiraku; Yoshioka, Kota 94 2005 Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras. Zbl 1140.17015 Nakajima, Hiraku 78 2005 Quiver varieties and cluster algebras. Zbl 1223.13013 Nakajima, Hiraku 76 2011 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 76 2019 \(t\)-analogs of \(q\)-characters of Kirillov-Reshetikhin modules of quantum affine algebras. Zbl 1078.17008 Nakajima, Hiraku 73 2003 Crystal bases and two-sided cells of quantum affine algebras. Zbl 1062.17006 Beck, Jonathan; Nakajima, Hiraku 68 2004 \(t\)-analogs of \(q\)-characters of quantum affine algebras of type \(A_n\), \(D_n\). Zbl 1098.17013 Nakajima, Hiraku 60 2003 \(K\)-theoretic Donaldson invariants via instanton counting. Zbl 1192.14011 Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta 59 2009 Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima). Zbl 1065.16009 Crawley-Boevey, William; Van den Bergh, Michel 48 2004 Quiver varieties and tensor products. Zbl 1023.17008 Nakajima, Hiraku 48 2001 Counting invariant of perverse coherent sheaves and its wall-crossing. Zbl 1250.14021 Nagao, Kentaro; Nakajima, Hiraku 47 2011 McKay correspondence and Hilbert schemes in dimension three. Zbl 0995.14001 Ito, Yukari; Nakajima, Hiraku 45 2000 Instanton counting and Donaldson invariants. Zbl 1172.57015 Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta 36 2008 Coproduct for Yangians of affine Kac-Moody algebras. Zbl 1447.17012 Guay, Nicolas; Nakajima, Hiraku; Wendlandt, Curtis 34 2018 Instanton moduli spaces and \(\mathcal W\)-algebras. Zbl 1435.14001 Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 33 2016 \(t\)-analogue of the \(q\)-characters of finite-dimensional representations of quantum affine algebras. Zbl 1011.17013 Nakajima, Hiraku 31 2001 Perverse coherent sheaves on blowup. III: Blow-up formula from wall-crossing. Zbl 1220.14012 Nakajima, Hiraku; Yoshioka, Kōta 29 2011 Hausdorff convergence of Einstein 4-manifolds. Zbl 0655.53037 Nakajima, Hiraku 28 1988 Extremal weight modules of quantum affine algebra. Zbl 1088.17008 Nakajima, Hiraku 28 2004 Donaldson = Seiberg-Witten from Mochizuki’s formula and instanton counting. Zbl 1259.14046 Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kota 28 2011 Compactness of the moduli space of Yang-Mills connections in higher dimensions. Zbl 0647.53030 Nakajima, Hiraku 27 1988 Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type \(A\). Zbl 1431.16014 Nakajima, Hiraku; Takayama, Yuuya 27 2017 Varieties associated with quivers. Zbl 0870.16008 Nakajima, Hiraku 24 1996 Quiver varieties and branching. Zbl 1241.17028 Nakajima, Hiraku 23 2009 Moduli spaces of anti-self-dual connections on ALE gravitational instantons. Zbl 0714.53026 Nakajima, Hiraku 23 1990 Hyper-Kähler structures on moduli spaces of parabolic Higgs bundles on Riemann surfaces. Zbl 0881.14006 Nakajima, Hiraku 22 1996 Reflection functors for quiver varieties and Weyl group actions. Zbl 1060.16017 Nakajima, Hiraku 22 2003 Homology of moduli spaces of instantons on ALE spaces. I. Zbl 0822.53019 Nakajima, Hiraku 22 1994 Sheaves on ALE spaces and quiver varieties. Zbl 1166.14007 Nakajima, Hiraku 21 2007 Virtual refinements of the Vafa-Witten formula. Zbl 1440.14253 Göttsche, Lothar; Kool, Martijn 20 2020 Level 0 monomial crystals. Zbl 1201.17008 Hernandez, David; Nakajima, Hiraku 20 2006 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 20 2021 Einstein-Hermitian connections on hyper-Kähler quotients. Zbl 0767.53045 Gocho, Toru; Nakajima, Hiraku 18 1992 Monopoles and Nahm’s equations. Zbl 0788.53068 Nakajima, Hiraku 17 1993 Geometric construction of representations of affine algebras. Zbl 1049.17014 Nakajima, Hiraku 16 2002 Quantized Coulomb brances of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras. Zbl 1469.20006 Kodera, Ryosuke; Nakajima, Hiraku 16 2018 Handsaw quiver varieties and finite \(W\)-algebras. Zbl 1290.17013 Nakajima, Hiraku 16 2012 Self-duality of ALE Ricci-flat 4-manifolds and positive mass theorem. Zbl 0744.53025 Nakajima, Hiraku 16 1990 Coulomb branches of quiver gauge theories with symmetrizers. Zbl 1508.14011 Nakajima, Hiraku; Weekes, Alex 16 2023 Perverse coherent sheaves on blow-up. I. A quiver description. Zbl 1247.14009 Nakajima, Hiraku; Yoshioka, Kota 15 2011 3d TQFTs from Argyres-Douglas theories. Zbl 1519.81383 Dedushenko, Mykola; Gukov, Sergei; Nakajima, Hiraku; Pei, Du; Ye, Ke 15 2020 Gauge theory on resolutions of simple singularities and simple Lie algebras. Zbl 0832.58007 Nakajima, Hiraku 14 1994 Perverse coherent sheaves on blow-up. II: Wall-crossing and Betti numbers formula. Zbl 1208.32013 Nakajima, Hiraku; Yoshioka, Kota 14 2011 \(t\)-analogs of \(q\)-characters of quantum affine algebras of type \(E_6\), \(E_7\), \(E_8\). Zbl 1259.17015 Nakajima, Hiraku 14 2010 Resolutions of moduli spaces of ideal instantons on \(\mathbb{R}^4\). Zbl 0891.57023 Nakajima, Hiraku 13 1994 Ring objects in the equivariant derived Satake category arising from Coulomb branches. Zbl 1476.14040 Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 13 2019 Instantons and affine Lie algebras. Zbl 0957.17504 Nakajima, Hiraku 12 1996 More lectures on Hilbert schemes of points on surfaces. Zbl 1369.14012 Nakajima, Hiraku 12 2016 Introduction to a provisional mathematical definition of Coulomb branches of 3-dimensional \(\mathcal{N}=4\) gauge theories. Zbl 1471.22020 Nakajima, Hiraku 12 2018 Removable singularities for Yang-Mills connections in higher dimensions. Zbl 0637.58026 Nakajima, Hiraku 9 1987 Refined Chern-Simons theory and Hilbert schemes of points on the plane. Zbl 1298.14008 Nakajima, Hiraku 9 2014 A convergence theorem for Einstein metrics and the ALE spaces. Zbl 0808.53046 Nakajima, Hiraku 8 1994 Introduction to quiver varieties – for ring and representation theorists. Zbl 1437.17007 Nakajima, Hiraku 7 2017 Yang-Mills connections and Einstein-Hermitian metrics. Zbl 0755.58012 Itoh, Mitsuhiro; Nakajima, Hiraku 7 1990 Line bundles over Coulomb branches. Zbl 1495.81069 Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 7 2021 Quiver varieties and tensor products. II. Zbl 1309.17010 Nakajima, Hiraku 6 2013 Lectures on perverse sheaves on instanton moduli spaces. Zbl 1403.14036 Nakajima, Hiraku 6 2017 Affine cellularity of quantum affine algebras: an appendix to “Affine cellularity of BLN-algebras” by Weideng Cui. Zbl 1378.17029 Nakajima, Hiraku 6 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 6 2015 Yau’s trick. Zbl 0736.53041 Nakajima, Hiraku 6 1989 Convolution on homology groups of moduli spaces of sheaves on \(K3\) surfaces. Zbl 1064.14043 Nakajima, Hiraku 3 2003 Crystal, canonical and PBW bases of quantum affine algebras. Zbl 1194.17009 Nakajima, Hiraku 3 2007 Instanton counting and Donaldson invariants. Zbl 1225.14010 Nakajima, Hiraku; Yoshioka, Kōda 3 2010 Cells in quantum affine algebras. Zbl 1062.17012 Nakajima, Hiraku 2 2004 Quiver varieties and quantum affine algebras. Zbl 1246.17021 Nakajima, Hiraku 2 2006 Representation theory of algebraic groups and quantum groups. Based on the 6th international conference by the Graduate School of Mathematics on representation theory of algebraic groups and quantum groups, Nagoya, Japan, June 12–17, 2006. Zbl 1206.17001 2 2010 Moduli of sheaves on blown-up surfaces. Zbl 1322.14028 Nakajima, Hiraku 1 2001 Cluster algebras and singular supports of perverse sheaves. Zbl 1353.13024 Nakajima, Hiraku 1 2014 Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras. Zbl 1467.14011 Nakajima, Hiraku 1 2021 Coulomb branches of quiver gauge theories with symmetrizers. Zbl 1508.14011 Nakajima, Hiraku; Weekes, Alex 16 2023 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 20 2021 Line bundles over Coulomb branches. Zbl 1495.81069 Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 7 2021 Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras. Zbl 1467.14011 Nakajima, Hiraku 1 2021 Virtual refinements of the Vafa-Witten formula. Zbl 1440.14253 Göttsche, Lothar; Kool, Martijn 20 2020 3d TQFTs from Argyres-Douglas theories. Zbl 1519.81383 Dedushenko, Mykola; Gukov, Sergei; Nakajima, Hiraku; Pei, Du; Ye, Ke 15 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 76 2019 Ring objects in the equivariant derived Satake category arising from Coulomb branches. Zbl 1476.14040 Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 13 2019 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 97 2018 Coproduct for Yangians of affine Kac-Moody algebras. Zbl 1447.17012 Guay, Nicolas; Nakajima, Hiraku; Wendlandt, Curtis 34 2018 Quantized Coulomb brances of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras. Zbl 1469.20006 Kodera, Ryosuke; Nakajima, Hiraku 16 2018 Introduction to a provisional mathematical definition of Coulomb branches of 3-dimensional \(\mathcal{N}=4\) gauge theories. Zbl 1471.22020 Nakajima, Hiraku 12 2018 Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type \(A\). Zbl 1431.16014 Nakajima, Hiraku; Takayama, Yuuya 27 2017 Introduction to quiver varieties – for ring and representation theorists. Zbl 1437.17007 Nakajima, Hiraku 7 2017 Lectures on perverse sheaves on instanton moduli spaces. Zbl 1403.14036 Nakajima, Hiraku 6 2017 Towards a mathematical definition of Coulomb branches of \(3\)-dimensional \(\mathcal{N}=4\) gauge theories. I. Zbl 1433.81121 Nakajima, Hiraku 109 2016 Instanton moduli spaces and \(\mathcal W\)-algebras. Zbl 1435.14001 Braverman, Alexander; Finkelberg, Michael; Nakajima, Hiraku 33 2016 More lectures on Hilbert schemes of points on surfaces. Zbl 1369.14012 Nakajima, Hiraku 12 2016 Affine cellularity of quantum affine algebras: an appendix to “Affine cellularity of BLN-algebras” by Weideng Cui. Zbl 1378.17029 Nakajima, Hiraku 6 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 6 2015 Refined Chern-Simons theory and Hilbert schemes of points on the plane. Zbl 1298.14008 Nakajima, Hiraku 9 2014 Cluster algebras and singular supports of perverse sheaves. Zbl 1353.13024 Nakajima, Hiraku 1 2014 Quiver varieties and tensor products. II. Zbl 1309.17010 Nakajima, Hiraku 6 2013 Handsaw quiver varieties and finite \(W\)-algebras. Zbl 1290.17013 Nakajima, Hiraku 16 2012 Quiver varieties and cluster algebras. Zbl 1223.13013 Nakajima, Hiraku 76 2011 Counting invariant of perverse coherent sheaves and its wall-crossing. Zbl 1250.14021 Nagao, Kentaro; Nakajima, Hiraku 47 2011 Perverse coherent sheaves on blowup. III: Blow-up formula from wall-crossing. Zbl 1220.14012 Nakajima, Hiraku; Yoshioka, Kōta 29 2011 Donaldson = Seiberg-Witten from Mochizuki’s formula and instanton counting. Zbl 1259.14046 Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kota 28 2011 Perverse coherent sheaves on blow-up. I. A quiver description. Zbl 1247.14009 Nakajima, Hiraku; Yoshioka, Kota 15 2011 Perverse coherent sheaves on blow-up. II: Wall-crossing and Betti numbers formula. Zbl 1208.32013 Nakajima, Hiraku; Yoshioka, Kota 14 2011 \(t\)-analogs of \(q\)-characters of quantum affine algebras of type \(E_6\), \(E_7\), \(E_8\). Zbl 1259.17015 Nakajima, Hiraku 14 2010 Instanton counting and Donaldson invariants. Zbl 1225.14010 Nakajima, Hiraku; Yoshioka, Kōda 3 2010 Representation theory of algebraic groups and quantum groups. Based on the 6th international conference by the Graduate School of Mathematics on representation theory of algebraic groups and quantum groups, Nagoya, Japan, June 12–17, 2006. Zbl 1206.17001 2 2010 \(K\)-theoretic Donaldson invariants via instanton counting. Zbl 1192.14011 Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta 59 2009 Quiver varieties and branching. Zbl 1241.17028 Nakajima, Hiraku 23 2009 Instanton counting and Donaldson invariants. Zbl 1172.57015 Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta 36 2008 Sheaves on ALE spaces and quiver varieties. Zbl 1166.14007 Nakajima, Hiraku 21 2007 Crystal, canonical and PBW bases of quantum affine algebras. Zbl 1194.17009 Nakajima, Hiraku 3 2007 Level 0 monomial crystals. Zbl 1201.17008 Hernandez, David; Nakajima, Hiraku 20 2006 Quiver varieties and quantum affine algebras. Zbl 1246.17021 Nakajima, Hiraku 2 2006 Instanton counting on blowup. I: 4-dimensional pure gauge theory. Zbl 1100.14009 Nakajima, Hiraku; Yoshioka, Kota 162 2005 Instanton counting on blowup. II: \(K\)-theoretic partition function. Zbl 1110.14015 Nakajima, Hiraku; Yoshioka, Kota 94 2005 Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras. Zbl 1140.17015 Nakajima, Hiraku 78 2005 Lectures on instanton counting. Zbl 1080.14016 Nakajima, Hiraku; Yoshioka, Kōta 102 2004 Crystal bases and two-sided cells of quantum affine algebras. Zbl 1062.17006 Beck, Jonathan; Nakajima, Hiraku 68 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 48 2004 Extremal weight modules of quantum affine algebra. Zbl 1088.17008 Nakajima, Hiraku 28 2004 Cells in quantum affine algebras. Zbl 1062.17012 Nakajima, Hiraku 2 2004 \(t\)-analogs of \(q\)-characters of Kirillov-Reshetikhin modules of quantum affine algebras. Zbl 1078.17008 Nakajima, Hiraku 73 2003 \(t\)-analogs of \(q\)-characters of quantum affine algebras of type \(A_n\), \(D_n\). Zbl 1098.17013 Nakajima, Hiraku 60 2003 Reflection functors for quiver varieties and Weyl group actions. Zbl 1060.16017 Nakajima, Hiraku 22 2003 Convolution on homology groups of moduli spaces of sheaves on \(K3\) surfaces. Zbl 1064.14043 Nakajima, Hiraku 3 2003 Geometric construction of representations of affine algebras. Zbl 1049.17014 Nakajima, Hiraku 16 2002 Quiver varieties and finite dimensional representations of quantum affine algebras. Zbl 0981.17016 Nakajima, Hiraku 200 2001 Quiver varieties and tensor products. Zbl 1023.17008 Nakajima, Hiraku 48 2001 \(t\)-analogue of the \(q\)-characters of finite-dimensional representations of quantum affine algebras. Zbl 1011.17013 Nakajima, Hiraku 31 2001 Moduli of sheaves on blown-up surfaces. Zbl 1322.14028 Nakajima, Hiraku 1 2001 McKay correspondence and Hilbert schemes in dimension three. Zbl 0995.14001 Ito, Yukari; Nakajima, Hiraku 45 2000 Lectures on Hilbert schemes of points on surfaces. Zbl 0949.14001 Nakajima, Hiraku 320 1999 Quiver varieties and Kac-Moody algebras. Zbl 0970.17017 Nakajima, Hiraku 175 1998 Heisenberg algebra and Hilbert schemes of points on projective surfaces. Zbl 0915.14001 Nakajima, Hiraku 111 1997 Varieties associated with quivers. Zbl 0870.16008 Nakajima, Hiraku 24 1996 Hyper-Kähler structures on moduli spaces of parabolic Higgs bundles on Riemann surfaces. Zbl 0881.14006 Nakajima, Hiraku 22 1996 Instantons and affine Lie algebras. Zbl 0957.17504 Nakajima, Hiraku 12 1996 Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras. Zbl 0826.17026 Nakajima, Hiraku 334 1994 Homology of moduli spaces of instantons on ALE spaces. I. Zbl 0822.53019 Nakajima, Hiraku 22 1994 Gauge theory on resolutions of simple singularities and simple Lie algebras. Zbl 0832.58007 Nakajima, Hiraku 14 1994 Resolutions of moduli spaces of ideal instantons on \(\mathbb{R}^4\). Zbl 0891.57023 Nakajima, Hiraku 13 1994 A convergence theorem for Einstein metrics and the ALE spaces. Zbl 0808.53046 Nakajima, Hiraku 8 1994 Monopoles and Nahm’s equations. Zbl 0788.53068 Nakajima, Hiraku 17 1993 Einstein-Hermitian connections on hyper-Kähler quotients. Zbl 0767.53045 Gocho, Toru; Nakajima, Hiraku 18 1992 Yang-Mills instantons on ALE gravitational instantons. Zbl 0694.53025 Kronheimer, Peter B.; Nakajima, Hiraku 131 1990 Moduli spaces of anti-self-dual connections on ALE gravitational instantons. Zbl 0714.53026 Nakajima, Hiraku 23 1990 Self-duality of ALE Ricci-flat 4-manifolds and positive mass theorem. Zbl 0744.53025 Nakajima, Hiraku 16 1990 Yang-Mills connections and Einstein-Hermitian metrics. Zbl 0755.58012 Itoh, Mitsuhiro; Nakajima, Hiraku 7 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 148 1989 Yau’s trick. Zbl 0736.53041 Nakajima, Hiraku 6 1989 Hausdorff convergence of Einstein 4-manifolds. Zbl 0655.53037 Nakajima, Hiraku 28 1988 Compactness of the moduli space of Yang-Mills connections in higher dimensions. Zbl 0647.53030 Nakajima, Hiraku 27 1988 Removable singularities for Yang-Mills connections in higher dimensions. Zbl 0637.58026 Nakajima, Hiraku 9 1987 all cited Publications top 5 cited Publications all top 5 Cited by 1,585 Authors 29 Hanany, Amihay 26 Nakajima, Hiraku 24 Kashiwara, Masaki 20 Tanzini, Alessandro 19 Kamnitzer, Joel 19 Oh, Se-jin 18 Bonelli, Giulio 18 Hernandez, David 17 Chari, Vyjayanthi 17 Nekrasov, Nikita Alexandrovich 16 Finkelberg, Michael Vladlenovich 16 Szabo, Richard J. 15 Kim, Jeong-Ah 15 Shin, Dong-Uy 14 Gaiotto, Davide 14 Kim, Myungho 14 Negut, Andrei 14 Scrimshaw, Travis 14 Viaclovsky, Jeff A. 13 Gukov, Sergei 13 Hausel, Tamás 13 Webster, Ben 12 Bershteĭn, Mikhaĭl Aleksandrovich 12 Feĭgin, Boris L’vovich 12 Jardim, Marcos 12 Jing, Naihuan 12 Kang, Seok-Jin 12 Park, Euiyong 12 Smirnov, Andrey V. 11 Bourget, Antoine 11 Li, Yiqiang 11 Mekareeya, Noppadol 11 Sperling, Marcus 11 Tsymbaliuk, Oleksandr 11 Weekes, Alex 11 Zhao, Gufang 10 Creutzig, Thomas 10 Dimofte, Tudor Dan 10 Göttsche, Lothar 10 Kimura, Taro 10 Moore, Gregory Winthrop 10 Morozov, Alexei Yurievich 10 Okun’kov, Andreĭ Yur’evich 10 Savage, Alistair 10 Zhong, Zhenghao 9 Bruzzo, Ugo 9 Cautis, Sabin 9 Craw, Alastair 9 Diaconescu, Duiliu-Emanuel 9 Fucito, Francesco 9 Galakhov, Dmitry 9 Grimminger, Julius F. 9 Kanno, Hiroaki 9 Lee, Kimyeong M. 9 Oblomkov, Alexei A. 9 Pestun, Vasily 9 Sagaki, Daisuke 9 Schilling, Anne 9 Toda, Yukinobu 9 Vasserot, Eric 9 Yamazaki, Masahito 9 Yang, Yaping 8 Awata, Hidetoshi 8 Cirafici, Michele 8 Davison, Ben 8 Del Zotto, Michele 8 Huang, Minxin 8 Koroteev, Peter 8 Licata, Anthony M. 8 Naito, Satoshi 8 Okado, Masato 8 Sala, Francesco 8 Szendrői, Balázs 8 Tian, Gang 8 Tingley, Peter W. 8 Wang, Weiqiang 8 Wang, Xin 7 Bielawski, Roger 7 Carlsson, Erik 7 Cherkis, Sergey A. 7 Dorey, Nick 7 Fourier, Ghislain 7 Gu, Jie 7 Gyenge, Ádám 7 Kalveks, Rudolph 7 Kanakubo, Yuki 7 Kim, Sung-Soo 7 Klemm, Albrecht 7 Kus, Deniz 7 Manschot, Jan 7 Mironov, Andrei D. 7 Morales, Jose Francisco 7 Moura, Adriano A. 7 Muthiah, Dinakar 7 Nagao, Kentaro 7 Nakashima, Toshiki 7 Nishinaka, Takahiro 7 Nitta, Muneto 7 Oberdieck, Georg 7 Poghossian, Rubik ...and 1,485 more Authors all top 5 Cited in 182 Serials 264 Journal of High Energy Physics 131 Advances in Mathematics 92 Communications in Mathematical Physics 82 Journal of Algebra 66 Nuclear Physics. B 57 Letters in Mathematical Physics 49 Duke Mathematical Journal 48 Selecta Mathematica. New Series 47 Journal of Geometry and Physics 34 Mathematische Zeitschrift 33 Mathematische Annalen 30 Inventiones Mathematicae 29 Geometry & Topology 28 Algebras and Representation Theory 28 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 26 Representation Theory 25 Journal für die Reine und Angewandte Mathematik 25 Transformation Groups 23 Compositio Mathematica 23 Transactions of the American Mathematical Society 19 Journal of Mathematical Physics 19 Journal of Pure and Applied Algebra 18 Communications in Algebra 17 International Journal of Mathematics 15 Publications of the Research Institute for Mathematical Sciences, Kyoto University 15 Journal of the American Mathematical Society 14 Journal of Algebraic Combinatorics 14 Journal of Algebraic Geometry 13 Journal of Physics A: Mathematical and Theoretical 12 The Journal of Geometric Analysis 12 Journal of the European Mathematical Society (JEMS) 11 Journal of the London Mathematical Society. Second Series 11 Proceedings of the London Mathematical Society. Third Series 11 Forum of Mathematics, Sigma 10 Annales Henri Poincaré 10 Kyoto Journal of Mathematics 9 Physics Letters. B 9 Theoretical and Mathematical Physics 9 Differential Geometry and its Applications 9 Calculus of Variations and Partial Differential Equations 9 SciPost Physics 8 Annales de l’Institut Fourier 8 Proceedings of the American Mathematical Society 8 Annals of Global Analysis and Geometry 8 Geometric and Functional Analysis. GAFA 8 Journal of the Institute of Mathematics of Jussieu 7 International Journal of Modern Physics A 7 Manuscripta Mathematica 7 Pacific Journal of Mathematics 7 Annals of Mathematics. Second Series 6 Geometriae Dedicata 6 Journal of Combinatorial Theory. Series A 6 Nagoya Mathematical Journal 6 Bulletin of the American Mathematical Society. New Series 5 Communications on Pure and Applied Mathematics 5 Reviews in Mathematical Physics 5 Publications Mathématiques 5 Proceedings of the Japan Academy. Series A 5 Tôhoku Mathematical Journal. Second Series 5 Linear Algebra and its Applications 5 Acta Mathematica Sinica. English Series 5 Journal of Algebra and its Applications 5 Journal of Noncommutative Geometry 5 European Journal of Mathematics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Bulletin of the London Mathematical Society 4 Bulletin de la Société Mathématique de France 4 Canadian Journal of Mathematics 4 Functional Analysis and its Applications 4 Journal of Differential Geometry 4 Memoirs of the American Mathematical Society 4 Bulletin des Sciences Mathématiques 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Oberwolfach Reports 4 Japanese Journal of Mathematics. 3rd Series 4 Science China. Mathematics 3 Journal of Mathematical Analysis and Applications 3 Physics Reports 3 Glasgow Mathematical Journal 3 Journal of Functional Analysis 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Nuclear Physics. B. Proceedings Supplements 3 The Electronic Journal of Combinatorics 3 Communications in Contemporary Mathematics 3 Central European Journal of Mathematics 3 Journal de l’École Polytechnique – Mathématiques 3 Algebraic Combinatorics 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Physics Letters. A 2 Fortschritte der Physik 2 Acta Mathematica 2 Commentarii Mathematici Helvetici 2 Journal of the Mathematical Society of Japan 2 Mathematische Nachrichten 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 ...and 82 more Serials all top 5 Cited in 51 Fields 754 Algebraic geometry (14-XX) 678 Quantum theory (81-XX) 531 Nonassociative rings and algebras (17-XX) 371 Differential geometry (53-XX) 302 Associative rings and algebras (16-XX) 141 Group theory and generalizations (20-XX) 125 Combinatorics (05-XX) 125 Global analysis, analysis on manifolds (58-XX) 110 Commutative algebra (13-XX) 102 Relativity and gravitational theory (83-XX) 99 Manifolds and cell complexes (57-XX) 92 Several complex variables and analytic spaces (32-XX) 75 Category theory; homological algebra (18-XX) 50 Topological groups, Lie groups (22-XX) 47 Partial differential equations (35-XX) 47 Statistical mechanics, structure of matter (82-XX) 37 Dynamical systems and ergodic theory (37-XX) 35 \(K\)-theory (19-XX) 34 Algebraic topology (55-XX) 30 Special functions (33-XX) 27 Number theory (11-XX) 24 Mechanics of particles and systems (70-XX) 20 Ordinary differential equations (34-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Difference and functional equations (39-XX) 9 Operator theory (47-XX) 9 Convex and discrete geometry (52-XX) 7 Functional analysis (46-XX) 6 General and overarching topics; collections (00-XX) 5 Geometry (51-XX) 4 Functions of a complex variable (30-XX) 4 Probability theory and stochastic processes (60-XX) 4 Fluid mechanics (76-XX) 3 Approximations and expansions (41-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 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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