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Singer, Isadore Manuel (b. 1924 d. 2021)

Author ID: singer.isadore-manuel Recent zbMATH articles by "Singer, Isadore Manuel"
Published as: Singer, I. M.; Singer, Isadore M.; Singer, Isadore; Singer, Isadore Manuel; Singer, I.
Homepage: https://news.mit.edu/2021/institute-professor-emeritus-isadore-singer-renowned-m...
External Links: MacTutor · MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef
Awards: Abel Prize (2004)
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 Donnelly, Harold
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 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 Guillemin, Victor W.
2 Hirzebruch, Friedrich
2 Hitchin, Nigel
2 Hopkins, Michael Jerome
2 Kanno, Hiroaki
2 Lusztig, George
2 Mazur, Barry
2 Palais, Richard S.
2 Retakh, Vladimir Solomonovich
2 Schmid, Wilfried
2 Sternberg, Shlomo
2 Weinstein, Alan David
2 Wolf, Joseph Albert
2 Wu, Hung-Hsi
1 Bertram, Aaron
1 Blum, Lenore
1 Bryant, Robert L.
1 Burns, Daniel M. jun.
1 Cheeger, Jeff
1 Christensen, Erik
1 Connes, Alain
1 Cuntz, Joachim
1 do Carmo, Manfredo Perdigão
1 Ebin, David G.
1 Effros, Edward George
1 Etingof, Pavel Il’ich
1 Fulton, William
1 Ge, Liming
1 Greene, Robert Everist
1 Griffiths, Phillip Augustus
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
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 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 Rossi, Hugo
1 Schaeffer, David G.
1 Seeley, Robert Thomas
1 Serre, Jean-Pierre
1 Shen, Y. Ron
1 Simons, James
1 Singer, Elliot
1 Singer, Natasha
1 Skau, Christian Fredrik
1 Stanton, Nancy K.
1 Størmer, Erling
...and 8 more Co-Authors
all top 5

Serials

7 Communications in Mathematical Physics
7 Annals of Mathematics. Second Series
6 Journal of Differential Geometry
5 Notices of the American Mathematical Society
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.]
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

Publications by Year

Citations contained in zbMATH Open

80 Publications have been cited 6,085 times in 4,533 Documents Cited by Year
Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
562
1978
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
542
1975
The index of elliptic operators. III. Zbl 0164.24301
Atiyah, Michael F.; Singer, I. M.
501
1968
R-torsion and the Laplacian on Riemannian manifolds. Zbl 0239.58014
Ray, D. B.; Singer, I. M.
375
1971
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
342
1976
The index of elliptic operators. I. Zbl 0164.24001
Atiyah, Michael F.; Singer, Isadore Manuel
326
1968
Curvature and the eigenvalues of the Laplacian. Zbl 0198.44301
McKean, H. P. jun.; Singer, I. M.
282
1967
The index of elliptic operators. IV, V. Zbl 0212.28603
Atiyah, Michael F.; Singer, I. M.
238
1971
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
208
1975
Analytic torsion for complex manifolds. Zbl 0267.32014
Ray, D. B.; Singer, I. M.
187
1973
The infinite groups of Lie and Cartan. I: The transitive groups. Zbl 0277.58008
Singer, I. M.; Sternberg, Shlomo
144
1965
Some remarks on the Gribov ambiguity. Zbl 0379.53009
Singer, I. M.
142
1978
The index of elliptic operators on compact manifolds. Zbl 0118.31203
Atiyah, Michael F.; Singer, I. M.
135
1963
Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018
Hopkins, M. J.; Singer, I. M.
133
2005
Derivations on commutative normed algebras. Zbl 0067.35101
Singer, I. M.; Wermer, J.
121
1955
Dirac operators coupled to vector potentials. Zbl 0547.58033
Atiyah, Michael F.; Singer, I. M.
119
1984
Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503
Atiyah, Michael F.; Singer, I. M.
113
1969
A theorem on holonomy. Zbl 0052.18002
Ambrose, W.; Singer, I. M.
98
1953
Chern-Simons perturbation theory. II. Zbl 0827.53057
Axelrod, Scott; Singer, I. M.
93
1994
Infinitesimally homogeneous spaces. Zbl 0171.42503
Singer, I. M.
90
1960
Extensions of pure states. Zbl 0086.09704
Kadison, Richard V.; Singer, I. M.
81
1959
On homogeneous Riemannian manifolds. Zbl 0134.17802
Ambrose, W.; Singer, I. M.
79
1958
The curvature of 4-dimensional Einstein spaces. Zbl 0199.25401
Singer, I. M.; Thorpe, J. A.
68
1969
Triangular operator algebras. Fundamentals and hyperreducible theory. Zbl 0096.31703
Kadison, Richard V.; Singer, I. M.
65
1960
An estimate of the gap of the first two eigenvalues in the Schrödinger operator. Zbl 0603.35070
Singer, I. M.; Wong, Bun; Yau, Shing-Tung; Yau, Stephen S.-T.
63
1985
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
58
1973
Special quantum field theories in eight and other dimensions. Zbl 0910.53054
Baulieu, Laurent; Kanno, Hiroaki; Singer, I. M.
57
1998
Lecture notes on elementary topology and geometry. Zbl 0163.44302
Singer, I. M.; Thorpe, J. A.
56
1967
Chern-Simons perturbation theory. Zbl 0813.53051
Axelrod, Scott; Singer, I. M.
55
1992
Generalized analytic functions. Zbl 0078.10902
Arens, Richard; Singer, I. M.
54
1956
Topological Yang-Mills symmetry. Zbl 0958.58500
Baulieu, L.; Singer, I. M.
47
1988
Automorphisms of finite factors. Zbl 0064.11001
Singer, I. M.
43
1955
Some comments on Chern-Simons gauge theory. Zbl 0686.53066
Ramadas, T. R.; Singer, I. M.; Weitsman, J.
41
1989
\(C^*\)-algebras of operators on a half-space. II: Index theory. Zbl 0241.47027
Coburn, Lewis A.; Douglas, R. G.; Schaeffer, D. G.; Singer, I. M.
40
1971
The geometry of the orbit space for nonabelian gauge theories. Zbl 1063.81623
Singer, I. M.
36
1981
Gravitational anomalies and the family’s index theorem. Zbl 0587.58042
Alvarez, Orlando; Singer, I. M.; Zumino, Bruno
34
1984
\(C^*\)-algebras of almost periodic pseudo-differential operators. Zbl 0263.47042
Coburn, Lewis A.; Moyer, R. D.; Singer, I. M.
30
1973
Function values as boundary integrals. Zbl 0056.33501
Arens, Richard; Singer, I. M.
28
1954
Sprays. Zbl 0097.37904
Ambrose, W.; Palais, R. S.; Singer, I. M.
28
1960
Maximal algebras of continuous functions. Zbl 0195.13903
Hoffman, K.; Singer, I. M.
27
1960
Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
25
1983
Deformations of instantons. Zbl 0356.58011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
24
1977
The topological sigma model. Zbl 0684.57016
Baulieu, L.; Singer, I. M.
21
1989
Lecture notes on elementary topology and geometry. Reprint. Zbl 0342.54002
Singer, I. M.; Thorpe, J. A.
19
1976
The index of projective families of elliptic operators. Zbl 1083.58021
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
19
2005
Maximal subalgebras of \(C(\varGamma)\). Zbl 0078.11001
Hoffman, Kenneth; Singer, I. M.
17
1957
An index theorem for Wiener-Hopf operators on the discrete quarter-plane. Zbl 0252.47026
Coburn, Lewis A.; Douglas, R. G.; Singer, I. M.
16
1972
Extending \({\bar \partial}\) to singular Riemann surfaces. Zbl 0692.30038
Seeley, R.; Singer, I. M.
12
1988
Fractional analytic index. Zbl 1115.58021
Mathai, V.; Melrose, R. B.; Singer, I. M.
12
2006
Uniformly continuous representations of Lie groups. Zbl 0049.35802
Singer, I. M.
12
1952
Families of Dirac operators with applications to physics. Zbl 0603.58054
Singer, I. M.
11
1985
Conformally invariant gauge fixed actions for 2-D topological gravity. Zbl 0725.53071
Baulieu, L.; Singer, I. M.
11
1991
Analytic torsion. Zbl 0273.58014
Ray, D. B.; Singer, I. M.
11
1973
On the master field in two dimensions. Zbl 0861.53075
Singer, I. M.
11
1995
Some remarks on operator theory and index theory. Zbl 0444.47040
Singer, I. M.
10
1977
Order-preserving isomorphisms between algebras of pseudodifferential operators. Zbl 0317.58017
Duistermaat, J. J.; Singer, I. M.
9
1976
Three test problems in operator theory. Zbl 0078.11503
Kadison, Richard V.; Singer, I. M.
9
1957
The geometric interpretation of a special connection. Zbl 0086.15101
Singer, I. M.
9
1959
The \(\eta\)-invariant and the index. Zbl 0669.58036
Singer, I. M.
8
1987
Chern-Simons perturbation theory. II. Zbl 0889.53053
Axelrod, Scott; Singer, I. M.
8
1994
Cohomological Yang-Mills theory in eight dimensions. Zbl 1052.53508
Baulieu, Laurent; Kanno, Hiroaki; Singer, I. M.
7
1998
The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
7
2009
Future extensions of index theory and elliptic operators. Zbl 0247.58011
Singer, I. M.
7
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
7
1985
Some remarks on representations of connected groups. Zbl 0046.25202
Kadison, Richard V.; Singer, I. M.
7
1952
Equivariant and fractional index of projective elliptic operators. Zbl 1147.58018
Mathai, R. B. Melrose; Singer, I. M.
6
2008
Signature defects of cusps and values of L-functions: The nonsplit case. Zbl 0577.58030
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
6
1984
Beyond the elliptic genus. Zbl 0995.58016
Alvarez, Orlando; Singer, I. M.
5
2002
Prospects in mathematics. Zbl 0233.00003
Hirzebruch, Friedrich; Hörmander, Lars; Milnor, John; Serre, Jean-Pierre; Singer, I. M.
4
1971
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
2
1990
A geometrical model showing the independence of locality and positivity of the energy. Zbl 0179.58202
Doplicher, S.; Regge, T.; Singer, I. M.
2
1968
Future extensions of index theory and elliptic operators. Zbl 0286.58011
Singer, I. M.
2
1974
Differential equations and \(G\)-structures. Zbl 0163.33402
Guillemin, Victor; Singer, Isadore M.
1
1966
On Yang-Mills fields. Zbl 0499.35092
Singer, I. M.
1
1982
Geometry and analysis of Shimizu L-functions. Zbl 0503.12007
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
1
1982
Operator theory and periodicity. Zbl 0228.55020
Singer, I. M.
1
1971
The index of elliptic operators. V. Zbl 0237.58018
Atiyah, Michael F.; Singer, I. M.
1
1972
Recent applications of index theory for elliptic operators. Zbl 0293.58013
Singer, I. M.
1
1973
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
K-theory and operator algebras. Proceedings of a conference held at the University of Georgia in Athens, Georgia, April 21-25, 1975. Zbl 0337.00005
1
1977
The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
7
2009
Equivariant and fractional index of projective elliptic operators. Zbl 1147.58018
Mathai, R. B. Melrose; Singer, I. M.
6
2008
Fractional analytic index. Zbl 1115.58021
Mathai, V.; Melrose, R. B.; Singer, I. M.
12
2006
Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018
Hopkins, M. J.; Singer, I. M.
133
2005
The index of projective families of elliptic operators. Zbl 1083.58021
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
19
2005
Beyond the elliptic genus. Zbl 0995.58016
Alvarez, Orlando; Singer, I. M.
5
2002
Special quantum field theories in eight and other dimensions. Zbl 0910.53054
Baulieu, Laurent; Kanno, Hiroaki; Singer, I. M.
57
1998
Cohomological Yang-Mills theory in eight dimensions. Zbl 1052.53508
Baulieu, 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 0869.00026
1
1997
On the master field in two dimensions. Zbl 0861.53075
Singer, I. M.
11
1995
Chern-Simons perturbation theory. II. Zbl 0827.53057
Axelrod, Scott; Singer, I. M.
93
1994
Chern-Simons perturbation theory. II. Zbl 0889.53053
Axelrod, Scott; Singer, I. M.
8
1994
Chern-Simons perturbation theory. Zbl 0813.53051
Axelrod, Scott; Singer, I. M.
55
1992
Conformally invariant gauge fixed actions for 2-D topological gravity. Zbl 0725.53071
Baulieu, L.; Singer, I. M.
11
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
2
1990
Some comments on Chern-Simons gauge theory. Zbl 0686.53066
Ramadas, T. R.; Singer, I. M.; Weitsman, J.
41
1989
The topological sigma model. Zbl 0684.57016
Baulieu, L.; Singer, I. M.
21
1989
Topological Yang-Mills symmetry. Zbl 0958.58500
Baulieu, L.; Singer, I. M.
47
1988
Extending \({\bar \partial}\) to singular Riemann surfaces. Zbl 0692.30038
Seeley, R.; Singer, I. M.
12
1988
The \(\eta\)-invariant and the index. Zbl 0669.58036
Singer, I. M.
8
1987
An estimate of the gap of the first two eigenvalues in the Schrödinger operator. Zbl 0603.35070
Singer, I. M.; Wong, Bun; Yau, Shing-Tung; Yau, Stephen S.-T.
63
1985
Families of Dirac operators with applications to physics. Zbl 0603.58054
Singer, I. M.
11
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
7
1985
Dirac operators coupled to vector potentials. Zbl 0547.58033
Atiyah, Michael F.; Singer, I. M.
119
1984
Gravitational anomalies and the family’s index theorem. Zbl 0587.58042
Alvarez, Orlando; Singer, I. M.; Zumino, Bruno
34
1984
Signature defects of cusps and values of L-functions: The nonsplit case. Zbl 0577.58030
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
6
1984
Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
25
1983
On Yang-Mills fields. Zbl 0499.35092
Singer, I. M.
1
1982
Geometry and analysis of Shimizu L-functions. Zbl 0503.12007
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
1
1982
The geometry of the orbit space for nonabelian gauge theories. Zbl 1063.81623
Singer, I. M.
36
1981
Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
562
1978
Some remarks on the Gribov ambiguity. Zbl 0379.53009
Singer, I. M.
142
1978
Deformations of instantons. Zbl 0356.58011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
24
1977
Some remarks on operator theory and index theory. Zbl 0444.47040
Singer, I. M.
10
1977
K-theory and operator algebras. Proceedings of a conference held at the University of Georgia in Athens, Georgia, April 21-25, 1975. Zbl 0337.00005
1
1977
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
342
1976
Lecture notes on elementary topology and geometry. Reprint. Zbl 0342.54002
Singer, I. M.; Thorpe, J. A.
19
1976
Order-preserving isomorphisms between algebras of pseudodifferential operators. Zbl 0317.58017
Duistermaat, J. J.; Singer, I. M.
9
1976
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
542
1975
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
208
1975
Future extensions of index theory and elliptic operators. Zbl 0286.58011
Singer, I. M.
2
1974
Analytic torsion for complex manifolds. Zbl 0267.32014
Ray, D. B.; Singer, I. M.
187
1973
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
58
1973
\(C^*\)-algebras of almost periodic pseudo-differential operators. Zbl 0263.47042
Coburn, Lewis A.; Moyer, R. D.; Singer, I. M.
30
1973
Analytic torsion. Zbl 0273.58014
Ray, D. B.; Singer, I. M.
11
1973
Recent applications of index theory for elliptic operators. Zbl 0293.58013
Singer, I. M.
1
1973
An index theorem for Wiener-Hopf operators on the discrete quarter-plane. Zbl 0252.47026
Coburn, Lewis A.; Douglas, R. G.; Singer, I. M.
16
1972
The index of elliptic operators. V. Zbl 0237.58018
Atiyah, Michael F.; Singer, I. M.
1
1972
R-torsion and the Laplacian on Riemannian manifolds. Zbl 0239.58014
Ray, D. B.; Singer, I. M.
375
1971
The index of elliptic operators. IV, V. Zbl 0212.28603
Atiyah, Michael F.; Singer, I. M.
238
1971
\(C^*\)-algebras of operators on a half-space. II: Index theory. Zbl 0241.47027
Coburn, Lewis A.; Douglas, R. G.; Schaeffer, D. G.; Singer, I. M.
40
1971
Future extensions of index theory and elliptic operators. Zbl 0247.58011
Singer, I. M.
7
1971
Prospects in mathematics. Zbl 0233.00003
Hirzebruch, Friedrich; Hörmander, Lars; Milnor, John; Serre, Jean-Pierre; Singer, I. M.
4
1971
Operator theory and periodicity. Zbl 0228.55020
Singer, I. M.
1
1971
Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503
Atiyah, Michael F.; Singer, I. M.
113
1969
The curvature of 4-dimensional Einstein spaces. Zbl 0199.25401
Singer, I. M.; Thorpe, J. A.
68
1969
The index of elliptic operators. III. Zbl 0164.24301
Atiyah, Michael F.; Singer, I. M.
501
1968
The index of elliptic operators. I. Zbl 0164.24001
Atiyah, Michael F.; Singer, Isadore Manuel
326
1968
A geometrical model showing the independence of locality and positivity of the energy. Zbl 0179.58202
Doplicher, S.; Regge, T.; Singer, I. M.
2
1968
Curvature and the eigenvalues of the Laplacian. Zbl 0198.44301
McKean, H. P. jun.; Singer, I. M.
282
1967
Lecture notes on elementary topology and geometry. Zbl 0163.44302
Singer, I. M.; Thorpe, J. A.
56
1967
Differential equations and \(G\)-structures. Zbl 0163.33402
Guillemin, Victor; Singer, Isadore M.
1
1966
The infinite groups of Lie and Cartan. I: The transitive groups. Zbl 0277.58008
Singer, I. M.; Sternberg, Shlomo
144
1965
The index of elliptic operators on compact manifolds. Zbl 0118.31203
Atiyah, Michael F.; Singer, I. M.
135
1963
Infinitesimally homogeneous spaces. Zbl 0171.42503
Singer, I. M.
90
1960
Triangular operator algebras. Fundamentals and hyperreducible theory. Zbl 0096.31703
Kadison, Richard V.; Singer, I. M.
65
1960
Sprays. Zbl 0097.37904
Ambrose, W.; Palais, R. S.; Singer, I. M.
28
1960
Maximal algebras of continuous functions. Zbl 0195.13903
Hoffman, K.; Singer, I. M.
27
1960
Extensions of pure states. Zbl 0086.09704
Kadison, Richard V.; Singer, I. M.
81
1959
The geometric interpretation of a special connection. Zbl 0086.15101
Singer, I. M.
9
1959
On homogeneous Riemannian manifolds. Zbl 0134.17802
Ambrose, W.; Singer, I. M.
79
1958
Maximal subalgebras of \(C(\varGamma)\). Zbl 0078.11001
Hoffman, Kenneth; Singer, I. M.
17
1957
Three test problems in operator theory. Zbl 0078.11503
Kadison, Richard V.; Singer, I. M.
9
1957
Generalized analytic functions. Zbl 0078.10902
Arens, Richard; Singer, I. M.
54
1956
Derivations on commutative normed algebras. Zbl 0067.35101
Singer, I. M.; Wermer, J.
121
1955
Automorphisms of finite factors. Zbl 0064.11001
Singer, I. M.
43
1955
Function values as boundary integrals. Zbl 0056.33501
Arens, Richard; Singer, I. M.
28
1954
A theorem on holonomy. Zbl 0052.18002
Ambrose, W.; Singer, I. M.
98
1953
Uniformly continuous representations of Lie groups. Zbl 0049.35802
Singer, I. M.
12
1952
Some remarks on representations of connected groups. Zbl 0046.25202
Kadison, Richard V.; Singer, I. M.
7
1952
all top 5

Cited by 3,979 Authors

41 Bismut, Jean-Michel
37 Gilkey, Peter B.
32 Carey, Alan L.
28 Zhang, Weiping
26 Sati, Hisham
25 Kirsten, Klaus
25 Savin, Anton Yur’evich
24 Zayed, Elsayed M. E.
23 Mathai, Varghese
22 Atiyah, Michael Francis
21 Davidov, Johann T.
21 Witten, Edward
20 Freed, Daniel Stuart
19 Benameur, Moulay-Tahar
18 Ma, Xiaonan
17 Popov, Alexander D.
16 Park, Jinsung
16 Szabo, Richard J.
15 Dai, Xianzhe
15 Martínez Gadea, Pedro
15 Loya, Paul A.
15 Moscovici, Henri
15 Sternin, Boris Yur’evich
15 Waterstraat, Nils
14 Bunke, Ulrich
14 LeBrun, Claude R.
14 Lott, John
14 Rochon, Frédéric
14 Ruberman, Daniel
14 Su, Guangxiang
13 Brüning, Jochen
13 Castrillón López, Marco
13 Cattaneo, Alberto Sergio
13 Singer, Isadore Manuel
13 Spreafico, Mauro
13 Vanhecke, Lieven
12 Braverman, Maxim
12 Calvaruso, Giovanni
12 Lee, Yoonweon
12 Moroianu, Sergiu
12 Piazza, Paolo
12 Salamon, Simon Montague
12 Schrohe, Elmar
12 Wang, Hang
11 Baulieu, Laurent
11 Honda, Nobuhiro
11 Hu, Xijun
11 Kowalski, Oldřich
11 Menozzi, Stéphane
11 Moore, Gregory Winthrop
11 Ponge, Raphaël S.
11 Sukochev, Fedor Anatol’evich
11 Vertman, Boris
10 Albin, Pierre
10 Dessai, Anand Naique
10 Mickelsson, Jouko
10 Monnier, Samuel
10 Murray, Michael K.
10 Nistor, Victor
10 Oubiña, José A.
10 Portaluri, Alessandro
10 Rennie, Adam
10 Rowlett, Julie
10 Saveliev, Nikolai
10 Schreiber, Urs
10 Schulze, Bert-Wolfgang
10 Taubes, Clifford Henry
10 Wang, Bailing
10 Wojciechowski, Krzysztof P.
10 Xia, Jingbo
9 Booss-Bavnbek, Bernhelm
9 Cappell, Sylvain E.
9 Grushko, P. Ya.
9 Han, Fei
9 Itoh, Mitsuhiro
9 Kappeler, Thomas
9 Kruglikov, Boris S.
9 Lesch, Matthias
9 Schulz-Baldes, Hermann
9 Shen, Shu
9 van den Berg, Michiel
9 Wu, Siye
9 Yonekura, Kazuya
8 Bär, Christian
8 Burghelea, Dan
8 Cotta-Ramusino, Paolo
8 Elmrabty, Adnane
8 Gorokhovsky, Alexander
8 Guillemin, Victor W.
8 Joyce, Dominic David
8 Kirk, Paul A.
8 Klimek, Slawomir
8 Liu, Bo
8 Liu, Kefeng
8 Melrose, Richard Burt
8 Mnëv, Pavel
8 Moshayedi, Nima
8 Muhly, Paul Scott
8 Mushkarov, Oleg K.
8 Petrie, Ted
...and 3,879 more Authors
all top 5

Cited in 433 Serials

332 Communications in Mathematical Physics
198 Journal of Geometry and Physics
169 Transactions of the American Mathematical Society
168 Journal of Mathematical Physics
161 Journal of High Energy Physics
153 Journal of Functional Analysis
133 Advances in Mathematics
110 Mathematische Annalen
103 Proceedings of the American Mathematical Society
95 Inventiones Mathematicae
82 Mathematische Zeitschrift
75 Annals of Global Analysis and Geometry
71 Differential Geometry and its Applications
62 Nuclear Physics. B
59 Letters in Mathematical Physics
58 Geometry & Topology
52 Annales de l’Institut Fourier
52 Duke Mathematical Journal
41 International Journal of Modern Physics A
41 Tôhoku Mathematical Journal. Second Series
40 Journal of Mathematical Analysis and Applications
36 The Journal of Geometric Analysis
36 Algebraic & Geometric Topology
35 Topology and its Applications
35 Comptes Rendus. Mathématique. Académie des Sciences, Paris
35 Bulletin of the American Mathematical Society
33 Reviews in Mathematical Physics
32 Acta Mathematica
30 Compositio Mathematica
30 Bulletin of the American Mathematical Society. New Series
29 International Journal of Mathematics
28 International Journal of Geometric Methods in Modern Physics
27 Annali di Matematica Pura ed Applicata. Serie Quarta
26 Journal of Noncommutative Geometry
25 \(K\)-Theory
23 Functional Analysis and its Applications
23 Journal of Soviet Mathematics
22 Integral Equations and Operator Theory
21 Bulletin de la Société Mathématique de France
21 Geometric and Functional Analysis. GAFA
21 Acta Mathematica Sinica. English Series
20 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
19 General Relativity and Gravitation
19 Communications in Partial Differential Equations
19 Journal of Mathematical Sciences (New York)
18 Mathematical Notes
18 Rocky Mountain Journal of Mathematics
18 Theoretical and Mathematical Physics
18 Journal of Differential Equations
18 Manuscripta Mathematica
18 Annales Henri Poincaré
17 Czechoslovak Mathematical Journal
17 Nagoya Mathematical Journal
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 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
15 Geometriae Dedicata
15 Journal of Pure and Applied Algebra
15 Journal für die Reine und Angewandte Mathematik
15 Mathematische Nachrichten
15 Journal of \(K\)-Theory
14 International Journal of Theoretical Physics
14 Publications Mathématiques
14 Proceedings of the Japan Academy. Series A
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
14 Calculus of Variations and Partial Differential Equations
13 Applied Mathematics and Computation
13 Linear Algebra and its Applications
12 Journal d’Analyse Mathématique
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Results in Mathematics
12 Journal of Fixed Point Theory and Applications
12 Journal of Homotopy and Related Structures
12 Journal of Topology
12 Science China. Mathematics
11 Monatshefte für Mathematik
11 Selecta Mathematica. New Series
11 Mediterranean Journal of Mathematics
10 Communications on Pure and Applied Mathematics
10 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
10 Bulletin of the London Mathematical Society
10 Bulletin des Sciences Mathématiques
10 Communications in Contemporary Mathematics
10 Journal of the Institute of Mathematics of Jussieu
10 Journal of Physics A: Mathematical and Theoretical
9 Classical and Quantum Gravity
9 Communications in Algebra
9 Journal of Algebra
9 Memoirs of the American Mathematical Society
9 Proceedings of the Edinburgh Mathematical Society. Series II
9 Siberian Mathematical Journal
9 Expositiones Mathematicae
9 Proceedings of the Japan Academy
9 Journal of Topology and Analysis
9 Journal of Pseudo-Differential Operators and Applications
9 Annals of \(K\)-Theory
8 Physics Letters. B
...and 333 more Serials
all top 5

Cited in 62 Fields

1,615 Global analysis, analysis on manifolds (58-XX)
1,425 Differential geometry (53-XX)
1,030 Quantum theory (81-XX)
702 Manifolds and cell complexes (57-XX)
475 Functional analysis (46-XX)
466 Partial differential equations (35-XX)
400 Operator theory (47-XX)
384 Algebraic geometry (14-XX)
313 Several complex variables and analytic spaces (32-XX)
295 Algebraic topology (55-XX)
278 \(K\)-theory (19-XX)
258 Relativity and gravitational theory (83-XX)
201 Topological groups, Lie groups (22-XX)
170 Dynamical systems and ergodic theory (37-XX)
143 Number theory (11-XX)
99 Nonassociative rings and algebras (17-XX)
89 Mechanics of particles and systems (70-XX)
83 Probability theory and stochastic processes (60-XX)
75 Associative rings and algebras (16-XX)
67 Functions of a complex variable (30-XX)
67 Ordinary differential equations (34-XX)
60 Category theory; homological algebra (18-XX)
53 Statistical mechanics, structure of matter (82-XX)
52 Group theory and generalizations (20-XX)
47 Linear and multilinear algebra; matrix theory (15-XX)
46 Abstract harmonic analysis (43-XX)
34 Harmonic analysis on Euclidean spaces (42-XX)
30 Combinatorics (05-XX)
28 Numerical analysis (65-XX)
26 History and biography (01-XX)
25 Systems theory; control (93-XX)
24 Difference and functional equations (39-XX)
23 Measure and integration (28-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
21 Approximations and expansions (41-XX)
19 Special functions (33-XX)
19 General topology (54-XX)
17 Commutative algebra (13-XX)
16 Convex and discrete geometry (52-XX)
16 Optics, electromagnetic theory (78-XX)
15 Computer science (68-XX)
14 Fluid mechanics (76-XX)
13 Information and communication theory, circuits (94-XX)
12 Mechanics of deformable solids (74-XX)
11 Geometry (51-XX)
10 Mathematical logic and foundations (03-XX)
9 Real functions (26-XX)
9 Biology and other natural sciences (92-XX)
8 Field theory and polynomials (12-XX)
8 Potential theory (31-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
6 General and overarching topics; collections (00-XX)
6 Integral equations (45-XX)
6 Statistics (62-XX)
5 Integral transforms, operational calculus (44-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 General algebraic systems (08-XX)
3 Sequences, series, summability (40-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)
2 Operations research, mathematical programming (90-XX)
1 Geophysics (86-XX)

Citations by Year

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