Edit Profile (opens in new tab) Singer, Isadore Manuel Compute Distance To: Compute Author ID: singer.isadore-manuel Published as: Singer, I. M.; Singer, Isadore; Singer, Isadore M.; Singer, Isadore Manuel; Singer, I. more...less Homepage: http://math.mit.edu/directory/profile.php?pid=249 External Links: MacTutor · MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef Awards: Abel Prize (2004) Documents Indexed: 91 Publications since 1952, including 5 Books 15 Contributions as Editor · 2 Further Contributions Biographic References: 10 Publications Co-Authors: 77 Co-Authors with 87 Joint Publications 2,741 Co-Co-Authors all top 5 Co-Authors 21 single-authored 19 Atiyah, Michael Francis 8 Yau, Shing-Tung 6 Jerison, David S. 5 Baulieu, Laurent 5 Jaffe, Arthur Michael 4 Bott, Raoul Harry 4 Hoffman, Kenneth 4 Kadison, Richard Vincent 4 Patodi, Vijay Kumar 4 Stroock, Daniel W. 3 Alvarez, Orlando 3 Ambrose, Warren Arthur 3 Axelrod, Scott 3 Coburn, Lewis A. 3 Donnelly, Harold 3 Mathai, Varghese 3 Melrose, Richard Burt 3 Ray, Daniel 3 Thorpe, John A. 2 Arens, Richard Friederich 2 Doplicher, Sergio 2 Douglas, Ronald George 2 Duistermaat, Johannes Jisse 2 Freed, Daniel Stuart 2 Gindikin, Simon Grigorevich 2 Glimm, James G. 2 Hirzebruch, Friedrich 2 Hitchin, Nigel James 2 Hopkins, Michael Jerome 2 Kanno, Hiroaki 2 Lusztig, George 2 Mazur, Barry 2 Retakh, Vladimir Solomonovich 2 Schmid, Wilfried 2 Weinstein, Alan David 2 Wolf, Joseph Albert 2 Wu, Hung-Hsi 1 Bertram, Aaron 1 Christensen, Erik 1 Cuntz, Joachim 1 do Carmo, Manfredo Perdigão 1 Effros, Edward George 1 Etingof, Pavel Il’ich 1 Fulton, William 1 Ge, Liming 1 Greene, Robert Everist 1 Guillemin, Victor W. 1 Hörmander, Lars Valter 1 Hsiang, Wu-Yi 1 Huang, Wenling 1 Impagliazzo, John 1 Ji, Lizhen 1 Johnson, Clifford V. 1 Kadison, Lars 1 Kazhdan, David A. 1 Kobayashi, Shoshichi 1 Kostant, Bertram 1 Kuh, Ernest Shiu-jen 1 Lax, Peter David 1 Lepowsky, James 1 Li, Jun 1 Lott, John 1 Mandelstam, Stanley 1 Mathai, R. B. Melrose 1 McKean, Henry P. jun. 1 Milnor, John Willard 1 Morgan, John W. 1 Morrel, Bernard B. 1 Morrison, David R. 1 Moyer, R. D. 1 Palais, Richard S. 1 Pietsch, Albrecht 1 Popa, Nicolae 1 Popa, Sorin Teodor 1 Powers, Robert T. 1 Ramadas, Trivandrum Ramakrishnan 1 Raussen, Martin 1 Regge, Tullio 1 Reich, Karin 1 Rieffel, Marc A. 1 Rørdam, Mikael 1 Schaeffer, David G. 1 Seeley, Robert Thomas 1 Serre, Jean-Pierre 1 Shen, Y. Ron 1 Skau, Christian Fredrik 1 Sternberg, Shlomo 1 Størmer, Erling 1 Takesaki, Masamichi 1 Vershik, Anatoliĭ Moiseevich 1 Weitsman, Jonathan 1 Wermer, John 1 Wong, Bun 1 Yau, Stephen Shing-Toung 1 Zelevinskiĭ, Andreĭ V. 1 Zumino, Bruno all top 5 Serials 7 Communications in Mathematical Physics 7 Annals of Mathematics. Second Series 6 Journal of Differential Geometry 4 American Journal of Mathematics 4 Proceedings of the National Academy of Sciences of the United States of America 4 Notices of the American Mathematical Society 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Uspekhi Matematicheskikh Nauk [N. S.] 2 Communications on Pure and Applied Mathematics 2 Nuclear Physics. B 2 Acta Mathematica 2 Publications Mathématiques 2 Pacific Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Lecture Notes in Mathematics 2 Proceedings of Symposia in Pure Mathematics 1 Journal d’Analyse Mathématique 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Fiziko-Matematichesko Spisanie 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Nuclear Physics. B. Proceedings Supplements 1 Geometry & Topology 1 Physica Scripta 1 Bulletin of the American Mathematical Society 1 Annals of Mathematics Studies 1 Mathematical Sciences Research Institute Publications 1 Progress in Mathematics 1 Translations. Series 2. American Mathematical Society 1 IAS/Park City Mathematics Series 1 Anais da Academia Brasileira de Ciências 1 Undergraduate Texts in Mathematics all top 5 Fields 44 Global analysis, analysis on manifolds (58-XX) 30 Differential geometry (53-XX) 19 Quantum theory (81-XX) 17 General and overarching topics; collections (00-XX) 14 Manifolds and cell complexes (57-XX) 10 Functional analysis (46-XX) 8 History and biography (01-XX) 6 Operator theory (47-XX) 5 Algebraic geometry (14-XX) 5 Partial differential equations (35-XX) 5 Algebraic topology (55-XX) 4 Number theory (11-XX) 4 Several complex variables and analytic spaces (32-XX) 3 \(K\)-theory (19-XX) 3 Relativity and gravitational theory (83-XX) 2 Functions of a complex variable (30-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 5,456 times in 4,142 Documents Cited by ▼ Year ▼ Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 518 1978 Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 468 1975 The index of elliptic operators. III. Zbl 0164.24301Atiyah, Michael F.; Singer, I. M. 463 1968 R-torsion and the Laplacian on Riemannian manifolds. Zbl 0239.58014Ray, D. B.; Singer, I. M. 342 1971 The index of elliptic operators. I. Zbl 0164.24001Atiyah, Michael F.; Singer, Isadore Manuel 304 1968 Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 286 1976 Curvature and the eigenvalues of the Laplacian. Zbl 0198.44301McKean, H. P. jun.; Singer, I. M. 262 1967 The index of elliptic operators. IV, V. Zbl 0212.28603Atiyah, Michael F.; Singer, I. M. 197 1971 Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 172 1975 Analytic torsion for complex manifolds. Zbl 0267.32014Ray, D. B.; Singer, I. M. 168 1973 The infinite groups of Lie and Cartan. I: The transitive groups. Zbl 0277.58008Singer, I. M.; Sternberg, Shlomo 140 1965 Some remarks on the Gribov ambiguity. Zbl 0379.53009Singer, I. M. 129 1978 The index of elliptic operators on compact manifolds. Zbl 0118.31203Atiyah, Michael F.; Singer, I. M. 118 1963 Dirac operators coupled to vector potentials. Zbl 0547.58033Atiyah, Michael F.; Singer, I. M. 115 1984 Derivations on commutative normed algebras. Zbl 0067.35101Singer, I. M.; Wermer, J. 114 1955 Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018Hopkins, M. J.; Singer, I. M. 109 2005 Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503Atiyah, Michael F.; Singer, I. M. 97 1969 A theorem on holonomy. Zbl 0052.18002Ambrose, W.; Singer, I. M. 92 1953 Infinitesimally homogeneous spaces. Zbl 0171.42503Singer, I. M. 83 1960 Extensions of pure states. Zbl 0086.09704Kadison, Richard V.; Singer, I. M. 74 1959 On homogeneous Riemannian manifolds. Zbl 0134.17802Ambrose, W.; Singer, I. M. 74 1958 Chern-Simons perturbation theory. II. Zbl 0827.53057Axelrod, Scott; Singer, I. M. 72 1994 Triangular operator algebras. Fundamentals and hyperreducible theory. Zbl 0096.31703Kadison, Richard V.; Singer, I. M. 61 1960 The curvature of 4-dimensional Einstein spaces. Zbl 0199.25401Singer, I. M.; Thorpe, J. A. 59 1969 An estimate of the gap of the first two eigenvalues in the Schrödinger operator. Zbl 0603.35070Singer, I. M.; Wong, Bun; Yau, Shing-Tung; Yau, Stephen S.-T. 53 1985 Lecture notes on elementary topology and geometry. Zbl 0163.44302Singer, I. M.; Thorpe, J. A. 53 1967 Generalized analytic functions. Zbl 0078.10902Arens, Richard; Singer, I. M. 53 1956 Special quantum field theories in eight and other dimensions. Zbl 0910.53054Baulieu, Laurent; Kanno, Hiroaki; Singer, I. M. 50 1998 Spectral asymmetry and Riemannian geometry. Zbl 0268.58010Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 49 1973 Chern-Simons perturbation theory. Zbl 0813.53051Axelrod, Scott; Singer, I. M. 48 1992 Topological Yang-Mills symmetry. Zbl 0958.58500Baulieu, L.; Singer, I. M. 45 1988 \(C^*\)-algebras of operators on a half-space. II: Index theory. Zbl 0241.47027Coburn, Lewis A.; Douglas, R. G.; Schaeffer, D. G.; Singer, I. M. 40 1971 Some comments on Chern-Simons gauge theory. Zbl 0686.53066Ramadas, T. R.; Singer, I. M.; Weitsman, J. 40 1989 Automorphisms of finite factors. Zbl 0064.11001Singer, I. M. 38 1955 The geometry of the orbit space for nonabelian gauge theories. Zbl 1063.81623Singer, I. M. 32 1981 \(C^*\)-algebras of almost periodic pseudo-differential operators. Zbl 0263.47042Coburn, Lewis A.; Moyer, R. D.; Singer, I. M. 29 1973 Sprays. Zbl 0097.37904Ambrose, W.; Palais, R. S.; Singer, I. M. 28 1960 Function values as boundary integrals. Zbl 0056.33501Arens, Richard; Singer, I. M. 27 1954 Maximal algebras of continuous functions. Zbl 0195.13903Hoffman, K.; Singer, I. M. 26 1960 Gravitational anomalies and the family’s index theorem. Zbl 0587.58042Alvarez, Orlando; Singer, I. M.; Zumino, Bruno 25 1984 Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 24 1983 The index of projective families of elliptic operators. Zbl 1083.58021Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 19 2005 The topological sigma model. Zbl 0684.57016Baulieu, L.; Singer, I. M. 19 1989 Lecture notes on elementary topology and geometry. Reprint. Zbl 0342.54002Singer, I. M.; Thorpe, J. A. 17 1976 Deformations of instantons. Zbl 0356.58011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 17 1977 Maximal subalgebras of \(C(\varGamma)\). Zbl 0078.11001Hoffman, Kenneth; Singer, I. M. 17 1957 An index theorem for Wiener-Hopf operators on the discrete quarter-plane. Zbl 0252.47026Coburn, Lewis A.; Douglas, R. G.; Singer, I. M. 15 1972 Fractional analytic index. Zbl 1115.58021Mathai, V.; Melrose, R. B.; Singer, I. M. 12 2006 Extending \({\bar \partial}\) to singular Riemann surfaces. Zbl 0692.30038Seeley, R.; Singer, I. M. 12 1988 Uniformly continuous representations of Lie groups. Zbl 0049.35802Singer, I. M. 11 1952 Families of Dirac operators with applications to physics. Zbl 0603.58054Singer, I. M. 9 1985 Some remarks on operator theory and index theory. Zbl 0444.47040Singer, I. M. 9 1977 Three test problems in operator theory. Zbl 0078.11503Kadison, Richard V.; Singer, I. M. 9 1957 The geometric interpretation of a special connection. Zbl 0086.15101Singer, I. M. 9 1959 Conformally invariant gauge fixed actions for 2-D topological gravity. Zbl 0725.53071Baulieu, L.; Singer, I. M. 9 1991 Analytic torsion. Zbl 0273.58014Ray, D. B.; Singer, I. M. 8 1973 Order-preserving isomorphisms between algebras of pseudodifferential operators. Zbl 0317.58017Duistermaat, J. J.; Singer, I. M. 8 1976 The \(\eta\)-invariant and the index. Zbl 0669.58036Singer, I. M. 7 1987 Some remarks on representations of connected groups. Zbl 0046.25202Kadison, Richard V.; Singer, I. M. 7 1952 Future extensions of index theory and elliptic operators. Zbl 0247.58011Singer, I. M. 7 1971 The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 7 2009 Chern-Simons perturbation theory. II. Zbl 0889.53053Axelrod, Scott; Singer, I. M. 7 1994 Signature defects of cusps and values of L-functions: The nonsplit case. Zbl 0577.58030Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 6 1984 Cohomological Yang-Mills theory in eight dimensions. Zbl 1052.53508Baulieu, Laurent; Kanno, Hiroaki; Singer, I. M. 6 1998 Equivariant and fractional index of projective elliptic operators. Zbl 1147.58018Mathai, R. B. Melrose; Singer, I. M. 6 2008 On the master field in two dimensions. Zbl 0861.53075Singer, I. M. 5 1995 Beyond the elliptic genus. Zbl 0995.58016Alvarez, Orlando; Singer, I. M. 5 2002 Prospects in mathematics. Zbl 0233.00003Hirzebruch, Friedrich; Hörmander, Lars; Milnor, John; Serre, Jean-Pierre; Singer, I. M. 3 1971 Vertex operators in mathematics and physics. Proceedings of a Conference (held at the Mathematical Sciences Research Institute, Berkeley, California), November 10-17, 1983. Zbl 0549.00013 2 1985 Future extensions of index theory and elliptic operators. Zbl 0286.58011Singer, I. M. 2 1974 A geometrical model showing the independence of locality and positivity of the energy. Zbl 0179.58202Doplicher, S.; Regge, T.; Singer, I. M. 2 1968 The legacy of John von Neumann. Proceedings of the summer research institute held at Hofstra University, Hempstead, New York, USA, May 29- June 4, 1988. Zbl 0699.00010 1 1990 The index of elliptic operators. V. Zbl 0237.58018Atiyah, Michael F.; Singer, I. M. 1 1972 The legacy of Norbert Wiener: a centennial symposium. In honor of the 100th anniversary of Norbert Wiener’s birth, October 8–14, Cambridge, MA, USA. Zbl 0869.00026 1 1997 On Yang-Mills fields. Zbl 0499.35092Singer, I. M. 1 1982 Differential equations and \(G\)-structures. Zbl 0163.33402Guillemin, Victor; Singer, Isadore M. 1 1966 Operator theory and periodicity. Zbl 0228.55020Singer, I. M. 1 1971 Some problems in the quantization of gauge theories and string theories. Zbl 0702.58010Singer, I. M. 1 1988 The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 7 2009 Equivariant and fractional index of projective elliptic operators. Zbl 1147.58018Mathai, R. B. Melrose; Singer, I. M. 6 2008 Fractional analytic index. Zbl 1115.58021Mathai, V.; Melrose, R. B.; Singer, I. M. 12 2006 Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018Hopkins, M. J.; Singer, I. M. 109 2005 The index of projective families of elliptic operators. Zbl 1083.58021Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 19 2005 Beyond the elliptic genus. Zbl 0995.58016Alvarez, Orlando; Singer, I. M. 5 2002 Special quantum field theories in eight and other dimensions. Zbl 0910.53054Baulieu, Laurent; Kanno, Hiroaki; Singer, I. M. 50 1998 Cohomological Yang-Mills theory in eight dimensions. Zbl 1052.53508Baulieu, Laurent; Kanno, Hiroaki; Singer, I. M. 6 1998 The legacy of Norbert Wiener: a centennial symposium. In honor of the 100th anniversary of Norbert Wiener’s birth, October 8–14, Cambridge, MA, USA. Zbl 0869.00026 1 1997 On the master field in two dimensions. Zbl 0861.53075Singer, I. M. 5 1995 Chern-Simons perturbation theory. II. Zbl 0827.53057Axelrod, Scott; Singer, I. M. 72 1994 Chern-Simons perturbation theory. II. Zbl 0889.53053Axelrod, Scott; Singer, I. M. 7 1994 Chern-Simons perturbation theory. Zbl 0813.53051Axelrod, Scott; Singer, I. M. 48 1992 Conformally invariant gauge fixed actions for 2-D topological gravity. Zbl 0725.53071Baulieu, L.; Singer, I. M. 9 1991 The legacy of John von Neumann. Proceedings of the summer research institute held at Hofstra University, Hempstead, New York, USA, May 29- June 4, 1988. Zbl 0699.00010 1 1990 Some comments on Chern-Simons gauge theory. Zbl 0686.53066Ramadas, T. R.; Singer, I. M.; Weitsman, J. 40 1989 The topological sigma model. Zbl 0684.57016Baulieu, L.; Singer, I. M. 19 1989 Topological Yang-Mills symmetry. Zbl 0958.58500Baulieu, L.; Singer, I. M. 45 1988 Extending \({\bar \partial}\) to singular Riemann surfaces. Zbl 0692.30038Seeley, R.; Singer, I. M. 12 1988 Some problems in the quantization of gauge theories and string theories. Zbl 0702.58010Singer, I. M. 1 1988 The \(\eta\)-invariant and the index. Zbl 0669.58036Singer, I. M. 7 1987 An estimate of the gap of the first two eigenvalues in the Schrödinger operator. Zbl 0603.35070Singer, I. M.; Wong, Bun; Yau, Shing-Tung; Yau, Stephen S.-T. 53 1985 Families of Dirac operators with applications to physics. Zbl 0603.58054Singer, I. M. 9 1985 Vertex operators in mathematics and physics. Proceedings of a Conference (held at the Mathematical Sciences Research Institute, Berkeley, California), November 10-17, 1983. Zbl 0549.00013 2 1985 Dirac operators coupled to vector potentials. Zbl 0547.58033Atiyah, Michael F.; Singer, I. M. 115 1984 Gravitational anomalies and the family’s index theorem. Zbl 0587.58042Alvarez, Orlando; Singer, I. M.; Zumino, Bruno 25 1984 Signature defects of cusps and values of L-functions: The nonsplit case. Zbl 0577.58030Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 6 1984 Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 24 1983 On Yang-Mills fields. Zbl 0499.35092Singer, I. M. 1 1982 The geometry of the orbit space for nonabelian gauge theories. Zbl 1063.81623Singer, I. M. 32 1981 Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 518 1978 Some remarks on the Gribov ambiguity. Zbl 0379.53009Singer, I. M. 129 1978 Deformations of instantons. Zbl 0356.58011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 17 1977 Some remarks on operator theory and index theory. Zbl 0444.47040Singer, I. M. 9 1977 Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 286 1976 Lecture notes on elementary topology and geometry. Reprint. Zbl 0342.54002Singer, I. M.; Thorpe, J. A. 17 1976 Order-preserving isomorphisms between algebras of pseudodifferential operators. Zbl 0317.58017Duistermaat, J. J.; Singer, I. M. 8 1976 Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 468 1975 Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 172 1975 Future extensions of index theory and elliptic operators. Zbl 0286.58011Singer, I. M. 2 1974 Analytic torsion for complex manifolds. Zbl 0267.32014Ray, D. B.; Singer, I. M. 168 1973 Spectral asymmetry and Riemannian geometry. Zbl 0268.58010Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 49 1973 \(C^*\)-algebras of almost periodic pseudo-differential operators. Zbl 0263.47042Coburn, Lewis A.; Moyer, R. D.; Singer, I. M. 29 1973 Analytic torsion. Zbl 0273.58014Ray, D. B.; Singer, I. M. 8 1973 An index theorem for Wiener-Hopf operators on the discrete quarter-plane. Zbl 0252.47026Coburn, Lewis A.; Douglas, R. G.; Singer, I. M. 15 1972 The index of elliptic operators. V. Zbl 0237.58018Atiyah, Michael F.; Singer, I. M. 1 1972 R-torsion and the Laplacian on Riemannian manifolds. Zbl 0239.58014Ray, D. B.; Singer, I. M. 342 1971 The index of elliptic operators. IV, V. Zbl 0212.28603Atiyah, Michael F.; Singer, I. M. 197 1971 \(C^*\)-algebras of operators on a half-space. II: Index theory. Zbl 0241.47027Coburn, Lewis A.; Douglas, R. G.; Schaeffer, D. G.; Singer, I. M. 40 1971 Future extensions of index theory and elliptic operators. Zbl 0247.58011Singer, I. M. 7 1971 Prospects in mathematics. Zbl 0233.00003Hirzebruch, Friedrich; Hörmander, Lars; Milnor, John; Serre, Jean-Pierre; Singer, I. M. 3 1971 Operator theory and periodicity. Zbl 0228.55020Singer, I. M. 1 1971 Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503Atiyah, Michael F.; Singer, I. M. 97 1969 The curvature of 4-dimensional Einstein spaces. Zbl 0199.25401Singer, I. M.; Thorpe, J. A. 59 1969 The index of elliptic operators. III. Zbl 0164.24301Atiyah, Michael F.; Singer, I. M. 463 1968 The index of elliptic operators. I. Zbl 0164.24001Atiyah, Michael F.; Singer, Isadore Manuel 304 1968 A geometrical model showing the independence of locality and positivity of the energy. Zbl 0179.58202Doplicher, S.; Regge, T.; Singer, I. M. 2 1968 Curvature and the eigenvalues of the Laplacian. Zbl 0198.44301McKean, H. P. jun.; Singer, I. M. 262 1967 Lecture notes on elementary topology and geometry. Zbl 0163.44302Singer, I. M.; Thorpe, J. A. 53 1967 Differential equations and \(G\)-structures. Zbl 0163.33402Guillemin, Victor; Singer, Isadore M. 1 1966 The infinite groups of Lie and Cartan. I: The transitive groups. Zbl 0277.58008Singer, I. M.; Sternberg, Shlomo 140 1965 The index of elliptic operators on compact manifolds. Zbl 0118.31203Atiyah, Michael F.; Singer, I. M. 118 1963 Infinitesimally homogeneous spaces. Zbl 0171.42503Singer, I. M. 83 1960 Triangular operator algebras. Fundamentals and hyperreducible theory. Zbl 0096.31703Kadison, Richard V.; Singer, I. M. 61 1960 Sprays. Zbl 0097.37904Ambrose, W.; Palais, R. S.; Singer, I. M. 28 1960 Maximal algebras of continuous functions. Zbl 0195.13903Hoffman, K.; Singer, I. M. 26 1960 Extensions of pure states. Zbl 0086.09704Kadison, Richard V.; Singer, I. M. 74 1959 The geometric interpretation of a special connection. Zbl 0086.15101Singer, I. M. 9 1959 On homogeneous Riemannian manifolds. Zbl 0134.17802Ambrose, W.; Singer, I. M. 74 1958 Maximal subalgebras of \(C(\varGamma)\). Zbl 0078.11001Hoffman, Kenneth; Singer, I. M. 17 1957 Three test problems in operator theory. Zbl 0078.11503Kadison, Richard V.; Singer, I. M. 9 1957 Generalized analytic functions. Zbl 0078.10902Arens, Richard; Singer, I. M. 53 1956 Derivations on commutative normed algebras. Zbl 0067.35101Singer, I. M.; Wermer, J. 114 1955 Automorphisms of finite factors. Zbl 0064.11001Singer, I. M. 38 1955 Function values as boundary integrals. Zbl 0056.33501Arens, Richard; Singer, I. M. 27 1954 A theorem on holonomy. Zbl 0052.18002Ambrose, W.; Singer, I. M. 92 1953 Uniformly continuous representations of Lie groups. Zbl 0049.35802Singer, I. M. 11 1952 Some remarks on representations of connected groups. Zbl 0046.25202Kadison, Richard V.; Singer, I. M. 7 1952 all cited Publications top 5 cited Publications all top 5 Cited by 3,602 Authors 38 Bismut, Jean-Michel 37 Gilkey, Peter B. 30 Carey, Alan L. 26 Zhang, Weiping 25 Kirsten, Klaus 24 Zayed, Elsayed M. E. 23 Sati, Hisham 22 Atiyah, Michael Francis 22 Mathai, Varghese 22 Savin, Anton Yur’evich 21 Davidov, Johann T. 20 Witten, Edward 18 Freed, Daniel Stuart 17 Benameur, Moulay-Tahar 17 Ma, Xiaonan 16 Park, Jinsung 15 Martínez Gadea, Pedro 15 Loya, Paul A. 15 Moscovici, Henri 15 Popov, Alexander D. 15 Sternin, Boris Yur’evich 15 Szabo, Richard J. 14 LeBrun, Claude R. 14 Lott, John 13 Bunke, Ulrich 13 Rochon, Frédéric 13 Ruberman, Daniel 13 Singer, Isadore Manuel 13 Spreafico, Mauro 13 Vanhecke, Lieven 13 Waterstraat, Nils 12 Braverman, Maxim 12 Brüning, Jochen 12 Calvaruso, Giovanni 12 Dai, Xianzhe 12 Lee, Yoonweon 12 Moroianu, Sergiu 12 Schrohe, Elmar 12 Su, Guangxiang 11 Castrillón López, Marco 11 Kowalski, Oldřich 11 Mickelsson, Jouko 11 Mushkarov, Oleg K. 11 Ponge, Raphaël S. 11 Salamon, Simon Montague 10 Baulieu, Laurent 10 Cattaneo, Alberto Sergio 10 Honda, Nobuhiro 10 Hu, Xijun 10 Moore, Gregory Winthrop 10 Murray, Michael K. 10 Nistor, Victor 10 Oubiña, José A. 10 Portaluri, Alessandro 10 Rowlett, Julie 10 Wang, Bailing 10 Wojciechowski, Krzysztof P. 10 Xia, Jingbo 9 Dessai, Anand Naique 9 Grushko, P. Ya. 9 Han, Fei 9 Itoh, Mitsuhiro 9 Kappeler, Thomas 9 Kruglikov, Boris S. 9 Monnier, Samuel 9 Piazza, Paolo 9 Rennie, Adam 9 Taubes, Clifford Henry 9 van den Berg, Michiel 9 Vertman, Boris 9 Wang, Hang 9 Wu, Siye 8 Albin, Pierre 8 Booss-Bavnbek, Bernhelm 8 Burghelea, Dan 8 Cappell, Sylvain E. 8 Cotta-Ramusino, Paolo 8 Gorokhovsky, Alexander 8 Guillemin, Victor W. 8 Kirk, Paul A. 8 Klimek, Slawomir 8 Lesch, Matthias 8 Liu, Kefeng 8 Melrose, Richard Burt 8 Menozzi, Stéphane 8 Muhly, Paul Scott 8 Petrie, Ted 8 Phillips, John 8 Popa, Sorin Teodor 8 Rudolph, Gerd 8 Schulze, Bert-Wolfgang 8 Seeley, Robert Thomas 8 Shen, Shu 8 Skandalis, Georges 8 Sukochev, Fedor Anatol’evich 8 Tricerri, Franco 8 Weinberger, Shmuel 7 Alvarez, Orlando 7 Bär, Christian 7 Bytsenko, Andrei A. ...and 3,502 more Authors all top 5 Cited in 400 Serials 319 Communications in Mathematical Physics 192 Journal of Geometry and Physics 161 Transactions of the American Mathematical Society 158 Journal of Mathematical Physics 145 Journal of Functional Analysis 123 Advances in Mathematics 110 Mathematische Annalen 101 Proceedings of the American Mathematical Society 95 Inventiones Mathematicae 93 Journal of High Energy Physics 72 Mathematische Zeitschrift 70 Annals of Global Analysis and Geometry 69 Differential Geometry and its Applications 57 Nuclear Physics. B 56 Letters in Mathematical Physics 52 Duke Mathematical Journal 51 Annales de l’Institut Fourier 48 Geometry & Topology 41 International Journal of Modern Physics A 41 Tohoku Mathematical Journal. Second Series 36 Journal of Mathematical Analysis and Applications 35 Comptes Rendus. Mathématique. Académie des Sciences, Paris 35 Bulletin of the American Mathematical Society 34 Topology and its Applications 32 Acta Mathematica 32 The Journal of Geometric Analysis 31 Algebraic & Geometric Topology 30 Bulletin of the American Mathematical Society. New Series 29 International Journal of Mathematics 28 Compositio Mathematica 27 Reviews in Mathematical Physics 26 Annali di Matematica Pura ed Applicata. Serie Quarta 25 \(K\)-Theory 24 International Journal of Geometric Methods in Modern Physics 24 Journal of Noncommutative Geometry 23 Functional Analysis and its Applications 23 Journal of Soviet Mathematics 21 Geometric and Functional Analysis. GAFA 20 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 20 Integral Equations and Operator Theory 20 Acta Mathematica Sinica. English Series 18 General Relativity and Gravitation 18 Rocky Mountain Journal of Mathematics 18 Bulletin de la Société Mathématique de France 18 Manuscripta Mathematica 18 Communications in Partial Differential Equations 17 Mathematical Notes 17 Theoretical and Mathematical Physics 17 Czechoslovak Mathematical Journal 17 Journal of Differential Equations 17 Nagoya Mathematical Journal 17 Journal of Mathematical Sciences (New York) 16 Israel Journal of Mathematics 16 Mathematical Proceedings of the Cambridge Philosophical Society 16 Kodai Mathematical Journal 16 Publications of the Research Institute for Mathematical Sciences, Kyoto University 16 Journal of the American Mathematical Society 16 Annales Henri Poincaré 15 Journal of \(K\)-Theory 14 International Journal of Theoretical Physics 14 Geometriae Dedicata 14 Publications Mathématiques 14 Journal of Pure and Applied Algebra 14 Journal für die Reine und Angewandte Mathematik 14 Mathematische Nachrichten 13 Applied Mathematics and Computation 13 Proceedings of the Japan Academy. Series A 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Results in Mathematics 12 Linear Algebra and its Applications 12 Calculus of Variations and Partial Differential Equations 12 Science China. Mathematics 11 Journal d’Analyse Mathématique 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 Journal of Fixed Point Theory and Applications 11 Journal of Homotopy and Related Structures 10 Communications on Pure and Applied Mathematics 10 Monatshefte für Mathematik 10 Communications in Contemporary Mathematics 9 Communications in Algebra 9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 9 Journal of Algebra 9 Siberian Mathematical Journal 9 Bulletin des Sciences Mathématiques 9 Journal of the Institute of Mathematics of Jussieu 9 Mediterranean Journal of Mathematics 9 Proceedings of the Japan Academy 9 Journal of Topology 9 Journal of Pseudo-Differential Operators and Applications 8 Chaos, Solitons and Fractals 8 Archiv der Mathematik 8 Memoirs of the American Mathematical Society 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Expositiones Mathematicae 8 Russian Journal of Mathematical Physics 8 Transformation Groups 8 Mathematical Physics, Analysis and Geometry 8 Journal of the European Mathematical Society (JEMS) 8 Journal of Topology and Analysis ...and 300 more Serials all top 5 Cited in 61 Fields 1,504 Global analysis, analysis on manifolds (58-XX) 1,323 Differential geometry (53-XX) 883 Quantum theory (81-XX) 649 Manifolds and cell complexes (57-XX) 445 Functional analysis (46-XX) 414 Partial differential equations (35-XX) 365 Operator theory (47-XX) 335 Algebraic geometry (14-XX) 283 Several complex variables and analytic spaces (32-XX) 266 Algebraic topology (55-XX) 255 \(K\)-theory (19-XX) 213 Relativity and gravitational theory (83-XX) 180 Topological groups, Lie groups (22-XX) 156 Dynamical systems and ergodic theory (37-XX) 132 Number theory (11-XX) 91 Nonassociative rings and algebras (17-XX) 73 Mechanics of particles and systems (70-XX) 71 Probability theory and stochastic processes (60-XX) 69 Associative rings and algebras (16-XX) 63 Functions of a complex variable (30-XX) 60 Ordinary differential equations (34-XX) 55 Category theory; homological algebra (18-XX) 49 Statistical mechanics, structure of matter (82-XX) 47 Group theory and generalizations (20-XX) 45 Abstract harmonic analysis (43-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 27 Combinatorics (05-XX) 24 Numerical analysis (65-XX) 23 Systems theory; control (93-XX) 22 History and biography (01-XX) 22 Measure and integration (28-XX) 22 Difference and functional equations (39-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Approximations and expansions (41-XX) 18 Commutative algebra (13-XX) 18 Special functions (33-XX) 17 General topology (54-XX) 14 Computer science (68-XX) 13 Convex and discrete geometry (52-XX) 12 Mechanics of deformable solids (74-XX) 12 Fluid mechanics (76-XX) 11 Information and communication theory, circuits (94-XX) 10 Optics, electromagnetic theory (78-XX) 9 Biology and other natural sciences (92-XX) 8 Mathematical logic and foundations (03-XX) 8 Real functions (26-XX) 8 Geometry (51-XX) 7 Potential theory (31-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Integral equations (45-XX) 5 Field theory and polynomials (12-XX) 4 General and overarching topics; collections (00-XX) 4 Integral transforms, operational calculus (44-XX) 4 Statistics (62-XX) 3 General algebraic systems (08-XX) 3 Sequences, series, summability (40-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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