Edit Profile Singer, Isadore M. Compute Distance To: Compute Author ID: singer.isadore-manuel Published as: Singer, I.; Singer, I. M.; Singer, Isadore; Singer, Isadore M.; Singer, Isadore Manuel Homepage: http://math.mit.edu/directory/profile.php?pid=249 External Links: MGP · Math-Net.Ru · Wikidata · ORCID · GND · MacTutor Awards: Abel Prize (2004) Documents Indexed: 105 Publications since 1952, including 19 Books Biographic References: 9 Publications all top 5 Co-Authors 21 single-authored 18 Atiyah, Michael Francis 8 Yau, Shing-Tung 6 Jerison, David S. 5 Baulieu, Laurent 4 Bott, Raoul Harry 4 Hoffman, Kenneth 4 Jaffe, Arthur Michael 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 Douglas, Ronald George 2 Duistermaat, Johannes Jisse 2 Gindikin, Simon Grigorevich 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 do Carmo, Manfredo Perdigão 1 Doplicher, Sergio 1 Etingof, Pavel Il’ich 1 Freed, Daniel Stuart 1 Glimm, James G. 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 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 Mandelstam, Stanley 1 Mathai, R. B. Melrose 1 McKean, Henry P. jun. 1 Milnor, John Willard 1 Morrel, Bernard B. 1 Morrison, David R. 1 Moyer, R. D. 1 Palais, Richard S. 1 Pietsch, Albrecht 1 Popa, Nicolae 1 Ramadas, Trivandrum Ramakrishnan 1 Regge, Tullio 1 Reich, Karin 1 Schaeffer, David G. 1 Seeley, Robert Thomas 1 Serre, Jean-Pierre 1 Shen, Y. Ron 1 Sternberg, Shlomo 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 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Notices of the American Mathematical Society 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 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 43 Global analysis, analysis on manifolds (58-XX) 29 Differential geometry (53-XX) 19 Quantum theory (81-XX) 16 General and overarching topics; collections (00-XX) 14 Manifolds and cell complexes (57-XX) 10 Functional analysis (46-XX) 6 Operator theory (47-XX) 5 History and biography (01-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 79 Publications have been cited 5,250 times in 3,993 Documents Cited by ▼ Year ▼ Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 500 1978 The index of elliptic operators. III. Zbl 0164.24301Atiyah, Michael F.; Singer, I. M. 453 1968 Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 448 1975 R-torsion and the Laplacian on Riemannian manifolds. Zbl 0239.58014Ray, D. B.; Singer, I. M. 320 1971 The index of elliptic operators. I. Zbl 0164.24001Atiyah, Michael F.; Singer, Isadore Manuel 291 1968 Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 267 1976 Curvature and the eigenvalues of the Laplacian. Zbl 0198.44301McKean, H. P. jun.; Singer, I. M. 243 1967 The index of elliptic operators. IV, V. Zbl 0212.28603Atiyah, Michael F.; Singer, I. M. 187 1971 Analytic torsion for complex manifolds. Zbl 0267.32014Ray, D. B.; Singer, I. M. 164 1973 Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 163 1975 The infinite groups of Lie and Cartan. I: The transitive groups. Zbl 0277.58008Singer, I. M.; Sternberg, Shlomo 138 1965 Some remarks on the Gribov ambiguity. Zbl 0379.53009Singer, I. M. 127 1978 Dirac operators coupled to vector potentials. Zbl 0547.58033Atiyah, Michael F.; Singer, I. M. 114 1984 Derivations on commutative normed algebras. Zbl 0067.35101Singer, I. M.; Wermer, J. 111 1955 The index of elliptic operators on compact manifolds. Zbl 0118.31203Atiyah, Michael F.; Singer, I. M. 104 1963 Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018Hopkins, M. J.; Singer, I. M. 99 2005 A theorem on holonomy. Zbl 0052.18002Ambrose, W.; Singer, I. M. 87 1953 Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503Atiyah, Michael F.; Singer, I. M. 83 1969 Infinitesimally homogeneous spaces. Zbl 0171.42503Singer, I. M. 78 1960 Extensions of pure states. Zbl 0086.09704Kadison, Richard V.; Singer, I. M. 73 1959 On homogeneous Riemannian manifolds. Zbl 0134.17802Ambrose, W.; Singer, I. M. 71 1958 Chern-Simons perturbation theory. II. Zbl 0827.53057Axelrod, Scott; Singer, I. M. 65 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. 60 1969 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. 51 1998 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. 51 1985 Spectral asymmetry and Riemannian geometry. Zbl 0268.58010Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 46 1973 Topological Yang-Mills symmetry. Zbl 0958.58500Baulieu, L.; Singer, I. M. 45 1988 Chern-Simons perturbation theory. Zbl 0813.53051Axelrod, Scott; Singer, I. M. 44 1992 \(C^*\)-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. 39 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. 30 1981 Gravitational anomalies and the family’s index theorem. Zbl 0587.58042Alvarez, Orlando; Singer, I. M.; Zumino, Bruno 28 1984 \(C^*\)-algebras of almost periodic pseudo-differential operators. Zbl 0263.47042Coburn, Lewis A.; Moyer, R. D.; Singer, I. M. 28 1973 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 Sprays. Zbl 0097.37904Ambrose, W.; Palais, R. S.; Singer, I. M. 26 1960 Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 23 1983 The index of projective families of elliptic operators. Zbl 1083.58021Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 20 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 Maximal subalgebras of \(C(\varGamma)\). Zbl 0078.11001Hoffman, Kenneth; Singer, I. M. 17 1957 Deformations of instantons. Zbl 0356.58011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 16 1977 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 Chern-Simons perturbation theory. II. Zbl 0889.53053Axelrod, Scott; Singer, I. M. 12 1994 Uniformly continuous representations of Lie groups. Zbl 0049.35802Singer, I. M. 11 1952 Extending \({\bar \partial}\) to singular Riemann surfaces. Zbl 0692.30038Seeley, R.; Singer, I. M. 10 1988 Families of Dirac operators with applications to physics. Zbl 0603.58054Singer, I. M. 10 1985 Conformally invariant gauge fixed actions for 2-D topological gravity. Zbl 0725.53071Baulieu, L.; Singer, I. M. 9 1991 Some remarks on operator theory and index theory. Zbl 0444.47040Singer, I. M. 9 1977 Order-preserving isomorphisms between algebras of pseudodifferential operators. Zbl 0317.58017Duistermaat, J. J.; Singer, I. M. 9 1976 The geometric interpretation of a special connection. Zbl 0086.15101Singer, I. M. 9 1959 Three test problems in operator theory. Zbl 0078.11503Kadison, Richard V.; Singer, I. M. 9 1957 The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 8 2009 Analytic torsion. Zbl 0273.58014Ray, D. B.; Singer, I. M. 8 1973 Future extensions of index theory and elliptic operators. Zbl 0247.58011Singer, I. M. 8 1971 Some remarks on representations of connected groups. Zbl 0046.25202Kadison, Richard V.; Singer, I. M. 8 1952 Cohomological Yang-Mills theory in eight dimensions. Zbl 1052.53508Baulieu, Laurent; Kanno, Hiroaki; Singer, I. M. 7 1998 The \(\eta\)-invariant and the index. Zbl 0669.58036Singer, I. M. 7 1987 Vertex operators in mathematics and physics. Proceedings of a Conference (held at the Mathematical Sciences Research Institute, Berkeley, California), November 10-17, 1983. Zbl 0549.00013Lepowsky, J. (ed.); Mandelstam, S. (ed.); Singer, I. M. (ed.) 7 1985 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. 6 1995 Signature defects of cusps and values of L-functions: The nonsplit case. Zbl 0577.58030Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 6 1984 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 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 Norbert Wiener: a centennial symposium. In honor of the 100th anniversary of Norbert Wiener’s birth, October 8–14, Cambridge, MA, USA. Zbl 0869.00026Jerison, David (ed.); Singer, I. M. (ed.); Stroock, Daniel W. (ed.) 1 1997 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 0699.00010Glimm, James (ed.); Impagliazzo, John (ed.); Singer, Isadore (ed.) 1 1990 Some problems in the quantization of gauge theories and string theories. Zbl 0702.58010Singer, I. M. 1 1988 On Yang-Mills fields. Zbl 0499.35092Singer, I. M. 1 1982 Eigenvalues of the Laplacian and invariants of manifolds. Zbl 0345.58014Singer, I. M. 1 1975 The index of elliptic operators. V. Zbl 0237.58018Atiyah, Michael F.; Singer, I. M. 1 1972 Operator theory and periodicity. Zbl 0228.55020Singer, I. M. 1 1971 Differential equations and \(G\)-structures. Zbl 0163.33402Guillemin, Victor; Singer, Isadore M. 1 1966 The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 8 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. 99 2005 The index of projective families of elliptic operators. Zbl 1083.58021Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 20 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. 51 1998 Cohomological Yang-Mills theory in eight dimensions. Zbl 1052.53508Baulieu, Laurent; Kanno, Hiroaki; Singer, I. M. 7 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 0869.00026Jerison, David (ed.); Singer, I. M. (ed.); Stroock, Daniel W. (ed.) 1 1997 On the master field in two dimensions. Zbl 0861.53075Singer, I. M. 6 1995 Chern-Simons perturbation theory. II. Zbl 0827.53057Axelrod, Scott; Singer, I. M. 65 1994 Chern-Simons perturbation theory. II. Zbl 0889.53053Axelrod, Scott; Singer, I. M. 12 1994 Chern-Simons perturbation theory. Zbl 0813.53051Axelrod, Scott; Singer, I. M. 44 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 0699.00010Glimm, James (ed.); Impagliazzo, John (ed.); Singer, Isadore (ed.) 1 1990 Some comments on Chern-Simons gauge theory. Zbl 0686.53066Ramadas, T. R.; Singer, I. M.; Weitsman, J. 39 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. 10 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. 51 1985 Families of Dirac operators with applications to physics. Zbl 0603.58054Singer, I. M. 10 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 0549.00013Lepowsky, J. (ed.); Mandelstam, S. (ed.); Singer, I. M. (ed.) 7 1985 Dirac operators coupled to vector potentials. Zbl 0547.58033Atiyah, Michael F.; Singer, I. M. 114 1984 Gravitational anomalies and the family’s index theorem. Zbl 0587.58042Alvarez, Orlando; Singer, I. M.; Zumino, Bruno 28 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. 23 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. 30 1981 Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 500 1978 Some remarks on the Gribov ambiguity. Zbl 0379.53009Singer, I. M. 127 1978 Deformations of instantons. Zbl 0356.58011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 16 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. 267 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. 9 1976 Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 448 1975 Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 163 1975 Eigenvalues of the Laplacian and invariants of manifolds. Zbl 0345.58014Singer, I. M. 1 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. 164 1973 Spectral asymmetry and Riemannian geometry. Zbl 0268.58010Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 46 1973 \(C^*\)-algebras of almost periodic pseudo-differential operators. Zbl 0263.47042Coburn, Lewis A.; Moyer, R. D.; Singer, I. M. 28 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. 320 1971 The index of elliptic operators. IV, V. Zbl 0212.28603Atiyah, Michael F.; Singer, I. M. 187 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. 8 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. 83 1969 The curvature of 4-dimensional Einstein spaces. Zbl 0199.25401Singer, I. M.; Thorpe, J. A. 60 1969 The index of elliptic operators. III. Zbl 0164.24301Atiyah, Michael F.; Singer, I. M. 453 1968 The index of elliptic operators. I. Zbl 0164.24001Atiyah, Michael F.; Singer, Isadore Manuel 291 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. 243 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 138 1965 The index of elliptic operators on compact manifolds. Zbl 0118.31203Atiyah, Michael F.; Singer, I. M. 104 1963 Infinitesimally homogeneous spaces. Zbl 0171.42503Singer, I. M. 78 1960 Triangular operator algebras. Fundamentals and hyperreducible theory. Zbl 0096.31703Kadison, Richard V.; Singer, I. M. 61 1960 Maximal algebras of continuous functions. Zbl 0195.13903Hoffman, K.; Singer, I. M. 26 1960 Sprays. Zbl 0097.37904Ambrose, W.; Palais, R. S.; Singer, I. M. 26 1960 Extensions of pure states. Zbl 0086.09704Kadison, Richard V.; Singer, I. M. 73 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. 71 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. 111 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. 87 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. 8 1952 all cited Publications top 5 cited Publications all top 5 Cited by 3,579 Authors 38 Bismut, Jean-Michel 36 Gilkey, Peter B. 29 Carey, Alan L. 26 Zhang, Weiping 24 Kirsten, Klaus 24 Zayed, Elsayed M. E. 22 Atiyah, Michael Francis 22 Mathai, Varghese 21 Sati, Hisham 21 Witten, Edward 19 Davidov, Johann T. 18 Popov, Alexander D. 18 Savin, Anton Yur’evich 16 Benameur, Moulay-Tahar 16 Freed, Daniel Stuart 16 Ma, Xiaonan 16 Park, Jinsung 16 Szabo, Richard J. 15 Martínez Gadea, Pedro 15 Loya, Paul A. 15 Moscovici, Henri 15 Sternin, Boris Yur’evich 13 Bunke, Ulrich 13 LeBrun, Claude R. 13 Lott, John 13 Singer, Isadore M. 13 Vanhecke, Lieven 12 Braverman, Maxim 12 Brüning, Jochen 12 Calvaruso, Giovanni 12 Dai, Xianzhe 12 Moroianu, Sergiu 12 Ponge, Raphaël S. 12 Rochon, Frédéric 12 Ruberman, Daniel 12 Spreafico, Mauro 11 Baulieu, Laurent 11 Castrillón López, Marco 11 Kowalski, Oldřich 11 Mickelsson, Jouko 11 Mushkarov, Oleg K. 11 Salamon, Simon Montague 11 Schrohe, Elmar 11 Su, Guangxiang 11 Waterstraat, Nils 10 Honda, Nobuhiro 10 Hu, Xijun 10 Lee, Yoonweon 10 Murray, Michael K. 10 Nistor, Victor 10 Oubiña, José A. 10 Portaluri, Alessandro 10 Wojciechowski, Krzysztof P. 10 Xia, Jingbo 9 Cattaneo, Alberto Sergio 9 Dessai, Anand Naique 9 Itoh, Mitsuhiro 9 Kappeler, Thomas 9 Monnier, Samuel 9 Moore, Gregory Winthrop 9 Piazza, Paolo 9 Rennie, Adam 9 Rowlett, Julie 9 Taubes, Clifford Henry 9 van den Berg, Michiel 9 Vertman, Boris 9 Wang, Bailing 9 Wu, Siye 8 Booss-Bavnbek, Bernhelm 8 Burghelea, Dan 8 Cappell, Sylvain E. 8 Cotta-Ramusino, Paolo 8 Gorokhovsky, Alexander 8 Grushko, P. Ya. 8 Guillemin, Victor W. 8 Kirk, Paul A. 8 Klimek, Slawomir 8 Melrose, Richard Burt 8 Muhly, Paul Scott 8 Petrie, Ted 8 Phillips, John 8 Popa, Sorin Teodor 8 Schulze, Bert-Wolfgang 8 Seeley, Robert Thomas 8 Skandalis, Georges 8 Sukochev, Fedor Anatol’evich 8 Tricerri, Franco 8 Wang, Hang 7 Albin, Pierre 7 Alvarez, Orlando 7 Bär, Christian 7 Bytsenko, Andrei A. 7 Carron, Gilles 7 Chang, Ick-Soon 7 Coburn, Lewis A. 7 Douglas, Ronald George 7 Elizalde, Emilio 7 Gutowski, Jan B. 7 Huang, Rung-Tzung 7 Ivanov, Stefan P. ...and 3,479 more Authors all top 5 Cited in 389 Serials 307 Communications in Mathematical Physics 186 Journal of Geometry and Physics 161 Transactions of the American Mathematical Society 157 Journal of Mathematical Physics 144 Journal of Functional Analysis 118 Advances in Mathematics 110 Journal of High Energy Physics 107 Mathematische Annalen 100 Proceedings of the American Mathematical Society 94 Inventiones Mathematicae 68 Differential Geometry and its Applications 66 Mathematische Zeitschrift 64 Annals of Global Analysis and Geometry 58 Nuclear Physics. B 53 Letters in Mathematical Physics 50 Duke Mathematical Journal 48 Geometry & Topology 46 Annales de l’Institut Fourier 41 International Journal of Modern Physics A 40 Tohoku Mathematical Journal. Second Series 36 Journal of Mathematical Analysis and Applications 35 Bulletin of the American Mathematical Society 34 Topology and its Applications 34 Comptes Rendus. Mathématique. Académie des Sciences, Paris 32 Acta Mathematica 31 Algebraic & Geometric Topology 29 The Journal of Geometric Analysis 28 Bulletin of the American Mathematical Society. New Series 27 Compositio Mathematica 26 Annali di Matematica Pura ed Applicata. Serie Quarta 25 \(K\)-Theory 25 International Journal of Mathematics 24 Reviews in Mathematical Physics 24 International Journal of Geometric Methods in Modern Physics 23 Functional Analysis and its Applications 23 Journal of Soviet Mathematics 22 Journal of Noncommutative Geometry 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 17 Mathematical Notes 17 Journal of Differential Equations 17 Nagoya Mathematical Journal 16 Israel Journal of Mathematics 16 Czechoslovak Mathematical Journal 16 Kodai Mathematical Journal 16 Publications of the Research Institute for Mathematical Sciences, Kyoto University 16 Journal of the American Mathematical Society 16 Journal of Mathematical Sciences (New York) 15 Mathematical Proceedings of the Cambridge Philosophical Society 15 Journal of Pure and Applied Algebra 15 Communications in Partial Differential Equations 15 Journal of \(K\)-Theory 14 International Journal of Theoretical Physics 14 Theoretical and Mathematical Physics 14 Publications Mathématiques 14 Journal für die Reine und Angewandte Mathematik 14 Mathematische Nachrichten 14 Annales Henri Poincaré 13 Applied Mathematics and Computation 12 Proceedings of the Japan Academy. Series A 12 Linear Algebra and its Applications 11 Journal d’Analyse Mathématique 11 Geometriae Dedicata 11 Results in Mathematics 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Science China. Mathematics 10 Communications on Pure and Applied Mathematics 10 Journal of Algebra 10 Monatshefte für Mathematik 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Calculus of Variations and Partial Differential Equations 10 Communications in Contemporary Mathematics 10 Journal of Fixed Point Theory and Applications 10 Journal of Homotopy and Related Structures 9 Communications in Algebra 9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 9 Siberian Mathematical Journal 9 Journal of the Institute of Mathematics of Jussieu 9 Proceedings of the Japan Academy 9 Journal of Topology 8 Reports on Mathematical Physics 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Russian Journal of Mathematical Physics 8 Bulletin des Sciences Mathématiques 8 Mathematical Physics, Analysis and Geometry 8 Journal of the European Mathematical Society (JEMS) 8 Mediterranean Journal of Mathematics 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Journal of Pseudo-Differential Operators and Applications 7 Chaos, Solitons and Fractals 7 Archiv der Mathematik 7 Bulletin of the London Mathematical Society 7 Ergodic Theory and Dynamical Systems 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 289 more Serials all top 5 Cited in 61 Fields 1,434 Global analysis, analysis on manifolds (58-XX) 1,268 Differential geometry (53-XX) 864 Quantum theory (81-XX) 617 Manifolds and cell complexes (57-XX) 434 Functional analysis (46-XX) 395 Partial differential equations (35-XX) 348 Operator theory (47-XX) 318 Algebraic geometry (14-XX) 276 Several complex variables and analytic spaces (32-XX) 254 Algebraic topology (55-XX) 231 \(K\)-theory (19-XX) 214 Relativity and gravitational theory (83-XX) 178 Topological groups, Lie groups (22-XX) 150 Dynamical systems and ergodic theory (37-XX) 128 Number theory (11-XX) 95 Nonassociative rings and algebras (17-XX) 71 Mechanics of particles and systems (70-XX) 65 Associative rings and algebras (16-XX) 63 Functions of a complex variable (30-XX) 61 Probability theory and stochastic processes (60-XX) 55 Ordinary differential equations (34-XX) 52 Category theory; homological algebra (18-XX) 45 Group theory and generalizations (20-XX) 44 Abstract harmonic analysis (43-XX) 43 Statistical mechanics, structure of matter (82-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 24 Combinatorics (05-XX) 23 Numerical analysis (65-XX) 22 Measure and integration (28-XX) 22 Systems theory; control (93-XX) 21 History and biography (01-XX) 21 Difference and functional equations (39-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 17 Commutative algebra (13-XX) 17 Approximations and expansions (41-XX) 16 Special functions (33-XX) 15 General topology (54-XX) 14 Information and communication theory, circuits (94-XX) 12 Convex and discrete geometry (52-XX) 12 Computer science (68-XX) 11 Mechanics of deformable solids (74-XX) 11 Fluid mechanics (76-XX) 11 Optics, electromagnetic theory (78-XX) 8 Mathematical logic and foundations (03-XX) 8 Biology and other natural sciences (92-XX) 7 Real functions (26-XX) 7 Potential theory (31-XX) 7 Geometry (51-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Integral equations (45-XX) 5 General and overarching topics; collections (00-XX) 5 Field theory and polynomials (12-XX) 4 Integral transforms, operational calculus (44-XX) 4 Statistics (62-XX) 3 General algebraic systems (08-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Sequences, series, summability (40-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 2 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. Updates and corrections should be made in Wikidata.