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Singer, Isadore M.

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Author ID: singer.isadore-manuel Recent zbMATH articles by "Singer, Isadore M."
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

Publications by Year

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 0389.53011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
500
1978
The index of elliptic operators. III. Zbl 0164.24301
Atiyah, Michael F.; Singer, I. M.
453
1968
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
448
1975
R-torsion and the Laplacian on Riemannian manifolds. Zbl 0239.58014
Ray, D. B.; Singer, I. M.
320
1971
The index of elliptic operators. I. Zbl 0164.24001
Atiyah, Michael F.; Singer, Isadore Manuel
291
1968
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
267
1976
Curvature and the eigenvalues of the Laplacian. Zbl 0198.44301
McKean, H. P. jun.; Singer, I. M.
243
1967
The index of elliptic operators. IV, V. Zbl 0212.28603
Atiyah, Michael F.; Singer, I. M.
187
1971
Analytic torsion for complex manifolds. Zbl 0267.32014
Ray, D. B.; Singer, I. M.
164
1973
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
163
1975
The infinite groups of Lie and Cartan. I: The transitive groups. Zbl 0277.58008
Singer, I. M.; Sternberg, Shlomo
138
1965
Some remarks on the Gribov ambiguity. Zbl 0379.53009
Singer, I. M.
127
1978
Dirac operators coupled to vector potentials. Zbl 0547.58033
Atiyah, Michael F.; Singer, I. M.
114
1984
Derivations on commutative normed algebras. Zbl 0067.35101
Singer, I. M.; Wermer, J.
111
1955
The index of elliptic operators on compact manifolds. Zbl 0118.31203
Atiyah, Michael F.; Singer, I. M.
104
1963
Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018
Hopkins, M. J.; Singer, I. M.
99
2005
A theorem on holonomy. Zbl 0052.18002
Ambrose, W.; Singer, I. M.
87
1953
Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503
Atiyah, Michael F.; Singer, I. M.
83
1969
Infinitesimally homogeneous spaces. Zbl 0171.42503
Singer, I. M.
78
1960
Extensions of pure states. Zbl 0086.09704
Kadison, Richard V.; Singer, I. M.
73
1959
On homogeneous Riemannian manifolds. Zbl 0134.17802
Ambrose, W.; Singer, I. M.
71
1958
Chern-Simons perturbation theory. II. Zbl 0827.53057
Axelrod, Scott; Singer, I. M.
65
1994
Triangular operator algebras. Fundamentals and hyperreducible theory. Zbl 0096.31703
Kadison, Richard V.; Singer, I. M.
61
1960
The curvature of 4-dimensional Einstein spaces. Zbl 0199.25401
Singer, I. M.; Thorpe, J. A.
60
1969
Lecture notes on elementary topology and geometry. Zbl 0163.44302
Singer, I. M.; Thorpe, J. A.
53
1967
Generalized analytic functions. Zbl 0078.10902
Arens, Richard; Singer, I. M.
53
1956
Special quantum field theories in eight and other dimensions. Zbl 0910.53054
Baulieu, Laurent; Kanno, Hiroaki; Singer, I. M.
51
1998
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.
51
1985
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
46
1973
Topological Yang-Mills symmetry. Zbl 0958.58500
Baulieu, L.; Singer, I. M.
45
1988
Chern-Simons perturbation theory. Zbl 0813.53051
Axelrod, Scott; Singer, I. M.
44
1992
\(C^*\)-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
Some comments on Chern-Simons gauge theory. Zbl 0686.53066
Ramadas, T. R.; Singer, I. M.; Weitsman, J.
39
1989
Automorphisms of finite factors. Zbl 0064.11001
Singer, I. M.
38
1955
The geometry of the orbit space for nonabelian gauge theories. Zbl 1063.81623
Singer, I. M.
30
1981
Gravitational anomalies and the family’s index theorem. Zbl 0587.58042
Alvarez, Orlando; Singer, I. M.; Zumino, Bruno
28
1984
\(C^*\)-algebras of almost periodic pseudo-differential operators. Zbl 0263.47042
Coburn, Lewis A.; Moyer, R. D.; Singer, I. M.
28
1973
Function values as boundary integrals. Zbl 0056.33501
Arens, Richard; Singer, I. M.
27
1954
Maximal algebras of continuous functions. Zbl 0195.13903
Hoffman, K.; Singer, I. M.
26
1960
Sprays. Zbl 0097.37904
Ambrose, W.; Palais, R. S.; Singer, I. M.
26
1960
Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
23
1983
The index of projective families of elliptic operators. Zbl 1083.58021
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
20
2005
The topological sigma model. Zbl 0684.57016
Baulieu, L.; Singer, I. M.
19
1989
Lecture notes on elementary topology and geometry. Reprint. Zbl 0342.54002
Singer, I. M.; Thorpe, J. A.
17
1976
Maximal subalgebras of \(C(\varGamma)\). Zbl 0078.11001
Hoffman, Kenneth; Singer, I. M.
17
1957
Deformations of instantons. Zbl 0356.58011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
16
1977
An index theorem for Wiener-Hopf operators on the discrete quarter-plane. Zbl 0252.47026
Coburn, Lewis A.; Douglas, R. G.; Singer, I. M.
15
1972
Fractional analytic index. Zbl 1115.58021
Mathai, V.; Melrose, R. B.; Singer, I. M.
12
2006
Chern-Simons perturbation theory. II. Zbl 0889.53053
Axelrod, Scott; Singer, I. M.
12
1994
Uniformly continuous representations of Lie groups. Zbl 0049.35802
Singer, I. M.
11
1952
Extending \({\bar \partial}\) to singular Riemann surfaces. Zbl 0692.30038
Seeley, R.; Singer, I. M.
10
1988
Families of Dirac operators with applications to physics. Zbl 0603.58054
Singer, I. M.
10
1985
Conformally invariant gauge fixed actions for 2-D topological gravity. Zbl 0725.53071
Baulieu, L.; Singer, I. M.
9
1991
Some remarks on operator theory and index theory. Zbl 0444.47040
Singer, I. M.
9
1977
Order-preserving isomorphisms between algebras of pseudodifferential operators. Zbl 0317.58017
Duistermaat, J. J.; Singer, I. M.
9
1976
The geometric interpretation of a special connection. Zbl 0086.15101
Singer, I. M.
9
1959
Three test problems in operator theory. Zbl 0078.11503
Kadison, Richard V.; Singer, I. M.
9
1957
The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
8
2009
Analytic torsion. Zbl 0273.58014
Ray, D. B.; Singer, I. M.
8
1973
Future extensions of index theory and elliptic operators. Zbl 0247.58011
Singer, I. M.
8
1971
Some remarks on representations of connected groups. Zbl 0046.25202
Kadison, Richard V.; Singer, I. M.
8
1952
Cohomological Yang-Mills theory in eight dimensions. Zbl 1052.53508
Baulieu, Laurent; Kanno, Hiroaki; Singer, I. M.
7
1998
The \(\eta\)-invariant and the index. Zbl 0669.58036
Singer, 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 0549.00013
Lepowsky, J. (ed.); Mandelstam, S. (ed.); Singer, I. M. (ed.)
7
1985
Equivariant and fractional index of projective elliptic operators. Zbl 1147.58018
Mathai, R. B. Melrose; Singer, I. M.
6
2008
On the master field in two dimensions. Zbl 0861.53075
Singer, I. M.
6
1995
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.
3
1971
Future extensions of index theory and elliptic operators. Zbl 0286.58011
Singer, I. M.
2
1974
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
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
Jerison, 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 0699.00010
Glimm, James (ed.); Impagliazzo, John (ed.); Singer, Isadore (ed.)
1
1990
Some problems in the quantization of gauge theories and string theories. Zbl 0702.58010
Singer, I. M.
1
1988
On Yang-Mills fields. Zbl 0499.35092
Singer, I. M.
1
1982
Eigenvalues of the Laplacian and invariants of manifolds. Zbl 0345.58014
Singer, I. M.
1
1975
The index of elliptic operators. V. Zbl 0237.58018
Atiyah, Michael F.; Singer, I. M.
1
1972
Operator theory and periodicity. Zbl 0228.55020
Singer, I. M.
1
1971
Differential equations and \(G\)-structures. Zbl 0163.33402
Guillemin, Victor; Singer, Isadore M.
1
1966
The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
8
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.
99
2005
The index of projective families of elliptic operators. Zbl 1083.58021
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
20
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.
51
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
Jerison, David (ed.); Singer, I. M. (ed.); Stroock, Daniel W. (ed.)
1
1997
On the master field in two dimensions. Zbl 0861.53075
Singer, I. M.
6
1995
Chern-Simons perturbation theory. II. Zbl 0827.53057
Axelrod, Scott; Singer, I. M.
65
1994
Chern-Simons perturbation theory. II. Zbl 0889.53053
Axelrod, Scott; Singer, I. M.
12
1994
Chern-Simons perturbation theory. Zbl 0813.53051
Axelrod, Scott; Singer, I. M.
44
1992
Conformally invariant gauge fixed actions for 2-D topological gravity. Zbl 0725.53071
Baulieu, 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
Glimm, James (ed.); Impagliazzo, John (ed.); Singer, Isadore (ed.)
1
1990
Some comments on Chern-Simons gauge theory. Zbl 0686.53066
Ramadas, T. R.; Singer, I. M.; Weitsman, J.
39
1989
The topological sigma model. Zbl 0684.57016
Baulieu, L.; Singer, I. M.
19
1989
Topological Yang-Mills symmetry. Zbl 0958.58500
Baulieu, L.; Singer, I. M.
45
1988
Extending \({\bar \partial}\) to singular Riemann surfaces. Zbl 0692.30038
Seeley, R.; Singer, I. M.
10
1988
Some problems in the quantization of gauge theories and string theories. Zbl 0702.58010
Singer, I. M.
1
1988
The \(\eta\)-invariant and the index. Zbl 0669.58036
Singer, I. M.
7
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.
51
1985
Families of Dirac operators with applications to physics. Zbl 0603.58054
Singer, 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 0549.00013
Lepowsky, J. (ed.); Mandelstam, S. (ed.); Singer, I. M. (ed.)
7
1985
Dirac operators coupled to vector potentials. Zbl 0547.58033
Atiyah, Michael F.; Singer, I. M.
114
1984
Gravitational anomalies and the family’s index theorem. Zbl 0587.58042
Alvarez, Orlando; Singer, I. M.; Zumino, Bruno
28
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.
23
1983
On Yang-Mills fields. Zbl 0499.35092
Singer, I. M.
1
1982
The geometry of the orbit space for nonabelian gauge theories. Zbl 1063.81623
Singer, I. M.
30
1981
Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
500
1978
Some remarks on the Gribov ambiguity. Zbl 0379.53009
Singer, I. M.
127
1978
Deformations of instantons. Zbl 0356.58011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
16
1977
Some remarks on operator theory and index theory. Zbl 0444.47040
Singer, I. M.
9
1977
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
267
1976
Lecture notes on elementary topology and geometry. Reprint. Zbl 0342.54002
Singer, I. M.; Thorpe, J. A.
17
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.
448
1975
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
163
1975
Eigenvalues of the Laplacian and invariants of manifolds. Zbl 0345.58014
Singer, I. M.
1
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.
164
1973
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
46
1973
\(C^*\)-algebras of almost periodic pseudo-differential operators. Zbl 0263.47042
Coburn, Lewis A.; Moyer, R. D.; Singer, I. M.
28
1973
Analytic torsion. Zbl 0273.58014
Ray, D. B.; Singer, I. M.
8
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.
15
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.
320
1971
The index of elliptic operators. IV, V. Zbl 0212.28603
Atiyah, Michael F.; Singer, I. M.
187
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.
8
1971
Prospects in mathematics. Zbl 0233.00003
Hirzebruch, Friedrich; Hörmander, Lars; Milnor, John; Serre, Jean-Pierre; Singer, I. M.
3
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.
83
1969
The curvature of 4-dimensional Einstein spaces. Zbl 0199.25401
Singer, I. M.; Thorpe, J. A.
60
1969
The index of elliptic operators. III. Zbl 0164.24301
Atiyah, Michael F.; Singer, I. M.
453
1968
The index of elliptic operators. I. Zbl 0164.24001
Atiyah, Michael F.; Singer, Isadore Manuel
291
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.
243
1967
Lecture notes on elementary topology and geometry. Zbl 0163.44302
Singer, I. M.; Thorpe, J. A.
53
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
138
1965
The index of elliptic operators on compact manifolds. Zbl 0118.31203
Atiyah, Michael F.; Singer, I. M.
104
1963
Infinitesimally homogeneous spaces. Zbl 0171.42503
Singer, I. M.
78
1960
Triangular operator algebras. Fundamentals and hyperreducible theory. Zbl 0096.31703
Kadison, Richard V.; Singer, I. M.
61
1960
Maximal algebras of continuous functions. Zbl 0195.13903
Hoffman, K.; Singer, I. M.
26
1960
Sprays. Zbl 0097.37904
Ambrose, W.; Palais, R. S.; Singer, I. M.
26
1960
Extensions of pure states. Zbl 0086.09704
Kadison, Richard V.; Singer, I. M.
73
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.
71
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.
53
1956
Derivations on commutative normed algebras. Zbl 0067.35101
Singer, I. M.; Wermer, J.
111
1955
Automorphisms of finite factors. Zbl 0064.11001
Singer, I. M.
38
1955
Function values as boundary integrals. Zbl 0056.33501
Arens, Richard; Singer, I. M.
27
1954
A theorem on holonomy. Zbl 0052.18002
Ambrose, W.; Singer, I. M.
87
1953
Uniformly continuous representations of Lie groups. Zbl 0049.35802
Singer, I. M.
11
1952
Some remarks on representations of connected groups. Zbl 0046.25202
Kadison, Richard V.; Singer, I. M.
8
1952
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

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