## Segal, Graeme B.

Compute Distance To:
 Author ID: segal.graeme-b Published as: Segal, Graeme; Segal, G. B.; Segal, G.; Segal, Graeme B. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 76 Publications since 1968, including 8 Books 2 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 41 Co-Authors with 38 Joint Publications 1,003 Co-Co-Authors
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### Co-Authors

 42 single-authored 8 Atiyah, Michael Francis 5 Cohen, Ralph L. 5 Pressley, Andrew 4 Wilson, George 3 Jones, John D. S. 3 Moore, Gregory Winthrop 2 Freed, Daniel Stuart 2 Hitchin, Nigel James 2 James, Ioan Mackenzie 2 Lupercio, Ernesto 2 Tillmann, Ulrike 2 Ward, Richard Samuel 1 Aspinwall, S. 1 Bass, Hyman 1 Bott, Raoul Harry 1 Bridgeland, Tom 1 Brown, Ken 1 Carter, Roger William 1 Craw, Alastair 1 Cuntz, Joachim 1 Douglas, Michael R. 1 Duflot, Jeanne 1 Friedlander, Eric Mark 1 Grayson, Daniel Richard 1 Gross, Mark 1 Harris, Bruno 1 Kapustin, Anton 1 Kontsevich, Maxim Lvovich 1 Kuiper, Nicolaas Hendrik 1 Lashof, Richard K. 1 Lehrer, Gustav Isaac 1 Loday, Jean-Louis 1 Macdonald, Ian Grant 1 May, Jon Peter 1 Mazur, Barry 1 McDuff, Dusa 1 Quillen, Daniel Gray 1 Quillen, Jean 1 Radul, A. O. 1 Ranicki, Andrew Alexander 1 Selby, Alex 1 Stretch, C. T. 1 Sullivan, Dennis Parnell 1 Szendrői, Balázs 1 Wilson, Pelham Mark Hedley 1 Zelevinskiĭ, Andreĭ V.
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### Serials

 5 The Quarterly Journal of Mathematics. Oxford Second Series 4 Publications Mathématiques 4 Topology 3 Communications in Mathematical Physics 2 Bulletin of the London Mathematical Society 2 Inventiones Mathematicae 2 Annals of Mathematics. Second Series 2 The Quarterly Journal of Mathematics 2 Oxford Graduate Texts in Mathematics 2 Oxford Mathematical Monographs 1 International Journal of Modern Physics A 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Functional Analysis and its Applications 1 Journal of Differential Geometry 1 Mathematische Zeitschrift 1 Annals of Physics 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 European Mathematical Society Newsletter 1 The Asian Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 London Mathematical Society Lecture Note Series 1 London Mathematical Society Student Texts 1 Clay Mathematics Monographs 1 Ukraïns’kyĭ Matematychnyĭ Visnyk 1 London Mathematical Society. Newsletter
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### Fields

 33 Algebraic topology (55-XX) 17 Manifolds and cell complexes (57-XX) 17 Quantum theory (81-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Topological groups, Lie groups (22-XX) 10 Algebraic geometry (14-XX) 9 $$K$$-theory (19-XX) 8 Differential geometry (53-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Nonassociative rings and algebras (17-XX) 5 General and overarching topics; collections (00-XX) 5 Group theory and generalizations (20-XX) 4 History and biography (01-XX) 4 Category theory; homological algebra (18-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX)

### Citations contained in zbMATH Open

67 Publications have been cited 3,267 times in 2,605 Documents Cited by Year
Loop groups. Zbl 0618.22011
Pressley, Andrew; Segal, Graeme
1986
Loop groups and equations of KdV type. Zbl 0592.35112
Segal, Graeme; Wilson, George
1985
Categories and cohomology theories. Zbl 0284.55016
Segal, Graeme
1974
Classifying spaces and spectral sequences. Zbl 0199.26404
Segal, Graeme
1968
Unitary representations of some infinite dimensional groups. Zbl 0495.22017
Segal, Graeme
1981
Equivariant K-theory. Zbl 0199.26202
Segal, Graeme
1968
The index of elliptic operators. II. Zbl 0164.24201
Atiyah, Michael F.; Segal, G. B.
1968
Equivariant $$K$$-theory and completion. Zbl 0215.24403
Atiyah, Michael F.; Segal, G. B.
1969
The topology of spaces of rational functions. Zbl 0427.55006
Segal, Graeme
1979
Configuration-spaces and iterated loop-spaces. Zbl 0267.55020
Segal, Graeme
1973
Loop groups. Repr. with corrections. Zbl 0638.22009
Pressley, Andrew; Segal, Graeme
1988
The definition of conformal field theory. Zbl 1372.81138
Segal, Graeme
2004
The representation ring of a compact Lie group. Zbl 0209.06203
Segal, G.
1968
Twisted $$K$$-theory. Zbl 1151.55301
Atiyah, Michael; Segal, Graeme
2004
Homology fibrations and the ’group-completion’ theorem. Zbl 0306.55020
McDuff, D.; Segal, G.
1976
Dirichlet branes and mirror symmetry. Zbl 1188.14026
Aspinwall, S.; Bridgeland, Tom; Craw, Alastair; Douglas, Michael R.; Gross, Mark; Kapustin, Anton; Moore, Gregory W.; Segal, Graeme; Szendrői, Balázs; Wilson, P. M. H.
2009
On equivariant Euler characteristics. Zbl 0708.19004
Atiyah, Michael; Segal, Graeme
1989
Heisenberg groups and noncommutative fluxes. Zbl 1115.83031
Freed, Daniel S.; Moore, Gregory W.; Segal, Graeme
2007
The definition of conformal field theory. Zbl 0657.53060
Segal, G. B.
1988
Floer’s infinite dimensional Morse theory and homotopy theory. Zbl 0843.58019
Cohen, R. L.; Jones, J. D. S.; Segal, G. B.
1995
Classifying spaces related to foliations. Zbl 0398.57018
Segal, Graeme
1978
The uncertainty of fluxes. Zbl 1126.81045
Freed, Daniel S.; Moore, Gregory W.; Segal, Graeme
2007
$$K$$-theory. Lecture notes by D. W. Anderson. Translation from the English by V. M. Bukhshtaber, V. N. Reshetnikov und D. B. Fuks. Edited by A. A. Kirillov. (Лекции по $$К$$-теории.) Zbl 0159.53401
Atiyah, Michael F.
1967
Lectures on Lie groups and Lie algebras. Zbl 0832.22001
Carter, Roger; Segal, Graeme; Macdonald, Ian
1995
The geometry of the KdV equation. Zbl 0741.35073
Segal, Graeme
1991
Fredholm complexes. Zbl 0213.25403
Segal, G.
1970
Twisted $$K$$-theory and cohomology. Zbl 1138.19003
Atiyah, Michael; Segal, Graeme
2006
$$K_i$$ groups of rings of algebraic integers. Zbl 0331.18015
Harris, B.; Segal, G.
1975
Integrable systems. Twistors, loop groups, and Riemann surfaces. Based on lectures given at the instructional conference on integrable systems, Oxford, UK, September 1997. Zbl 1082.37501
Hitchin, N. J.; Segal, G. B.; Ward, R. S.
1999
Equivariant bundles with abelian structural group. Zbl 0526.55020
Lashof, R. K.; May, J. P.; Segal, G. B.
1983
The cohomology of the space of magnetic monopoles. Zbl 0854.57029
Segal, Graeme; Selby, Alex
1996
The cohomology of the vector fields on a manifold. Zbl 0387.57012
Bott, Raoul; Segal, G.
1977
Topological structures in string theory. Zbl 1041.81094
Segal, Graeme
2001
On equivariant homotopy type. Zbl 0403.57007
James, I. M.; Segal, G. B.
1978
The stable homotopy of complex projective space. Zbl 0266.55009
Segal, Graeme
1973
Permutation representations of finite p-groups. Zbl 0338.20017
Segal, Graeme
1972
The multiplicative group of classical cohomology. Zbl 0321.55017
Segal, Graeme
1975
Equivariant stable homotopy theory. Zbl 0225.55014
Segal, G. B.
1971
Elliptic cohomology [after Landweber-Stong, Ochanine, Witten, and others]. Zbl 0686.55003
Segal, Graeme
1988
Loop groups and equations of KdV type. Zbl 0939.35163
Segal, Graeme; Wilson, George
1998
Exponential isomorphisms for $$\lambda$$-rings. Zbl 0226.13008
Atiyah, M. F.; Segal, G. B.
1971
Loop groups and harmonic maps. Zbl 0702.58017
Segal, Graeme
1989
Cohomology of topological groups. Zbl 0223.57034
Segal, Graeme
1970
Locality of holomorphic bundles, and locality in quantum field theory. Zbl 1216.32012
Segal, Graeme
2010
Jacobi’s identity and an isomorphism between a symmetric algebra and an exterior algebra. Zbl 0533.22003
Segal, Graeme
1982
On equivariant homotopy theory. Zbl 0439.57021
James, I. M.; Segal, G. B.
1980
Homology stability for classical regular semisimple varieties. Zbl 1037.20049
Lehrer, G. I.; Segal, G. B.
2001
Operations in stable homotopy theory. Zbl 0274.55016
Segal, Graeme
1974
Loop groups, Grassmannians and KdV equations. Zbl 0633.35064
Pressley, Andrew
1985
Geometric aspects of quantum field theory. Zbl 0757.53048
Segal, Graeme
1991
Stability for holomorphic spheres and Morse theory. Zbl 0981.57014
Cohen, Ralph L.; Jones, John D. S.; Segal, Graeme B.
2000
Mapping configuration spaces to moduli spaces. Zbl 1165.32003
Segal, Graeme; Tillmann, Ulrike
2008
Equivariant contractibility of the general linear group of Hilbert space. Zbl 0197.49203
Segal, G.
1969
Loop groups. Zbl 0601.22011
Segal, G. B.
1985
Characteristic classes for permutation representations. Zbl 0494.57018
Segal, G. B.; Stretch, C. T.
1981
The interface of mathematics and particle physics. Based on the proceedings of a conference organized by the Institute of Mathematics and its Applications held at the University of Oxford, UK in September 1988. Zbl 0715.53058
1990
A geometric perspective on quantum field theory. Zbl 1329.81256
Segal, Graeme
2014
Floer’s infinite-dimensional Morse theory and homotopy theory. Zbl 0996.58505
Cohen, R. L.; Jones, J. D. S.; Segal, G. B.
1994
Integrable systems. Twistors, loop groups, and Riemann surfaces. Based on lectures given at the instructional conference on integrable systems, Oxford, UK, September 1997. Reprint of the 1999 hardback ed. Zbl 1268.37001
Hitchin, N. J.; Segal, G. B.; Ward, R. S.
2013
Holomorphic spheres in loop groups and Bott periodicity. Zbl 1064.58010
Cohen, Ralph L.; Lupercio, Ernesto; Segal, Graeme B.
2000
Loop groups. With an appendix by Segal and G. Wilson. Transl. from the 2nd English ed. and with a preface by A. V. Zelevinskij and A. O. Radul. (Gruppy petel’.) Zbl 0852.22002
Pressley, Andrew; Segal, Graeme B.
1990
What is an elliptic object? Zbl 1236.55011
Segal, Graeme
2007
Topology of the space of $$SU(2)$$-monopoles in $$\mathbb{R}^ 3$$. Zbl 0870.57046
Segal, Graeme
1997
Holomorphic spheres in loop groups and Bott periodicity. Zbl 0968.55007
Cohen, Ralph L.; Luperico, Ernesto; Segal, Graeme B.
1999
K-homology theory and algebraic K-theory. Zbl 0363.55002
Segal, Graeme
1977
New developments in topology. The edited and revised proceedings of the symposium on algebraic topology, Oxford, June 1972. Zbl 0265.00013
1974
Classifying space of a topological group in the Gel’fand-Fuks sense. Zbl 0317.55017
Segal, G. B.
1975
A geometric perspective on quantum field theory. Zbl 1329.81256
Segal, Graeme
2014
Integrable systems. Twistors, loop groups, and Riemann surfaces. Based on lectures given at the instructional conference on integrable systems, Oxford, UK, September 1997. Reprint of the 1999 hardback ed. Zbl 1268.37001
Hitchin, N. J.; Segal, G. B.; Ward, R. S.
2013
Locality of holomorphic bundles, and locality in quantum field theory. Zbl 1216.32012
Segal, Graeme
2010
Dirichlet branes and mirror symmetry. Zbl 1188.14026
Aspinwall, S.; Bridgeland, Tom; Craw, Alastair; Douglas, Michael R.; Gross, Mark; Kapustin, Anton; Moore, Gregory W.; Segal, Graeme; Szendrői, Balázs; Wilson, P. M. H.
2009
Mapping configuration spaces to moduli spaces. Zbl 1165.32003
Segal, Graeme; Tillmann, Ulrike
2008
Heisenberg groups and noncommutative fluxes. Zbl 1115.83031
Freed, Daniel S.; Moore, Gregory W.; Segal, Graeme
2007
The uncertainty of fluxes. Zbl 1126.81045
Freed, Daniel S.; Moore, Gregory W.; Segal, Graeme
2007
What is an elliptic object? Zbl 1236.55011
Segal, Graeme
2007
Twisted $$K$$-theory and cohomology. Zbl 1138.19003
Atiyah, Michael; Segal, Graeme
2006
The definition of conformal field theory. Zbl 1372.81138
Segal, Graeme
2004
Twisted $$K$$-theory. Zbl 1151.55301
Atiyah, Michael; Segal, Graeme
2004
Topological structures in string theory. Zbl 1041.81094
Segal, Graeme
2001
Homology stability for classical regular semisimple varieties. Zbl 1037.20049
Lehrer, G. I.; Segal, G. B.
2001
Stability for holomorphic spheres and Morse theory. Zbl 0981.57014
Cohen, Ralph L.; Jones, John D. S.; Segal, Graeme B.
2000
Holomorphic spheres in loop groups and Bott periodicity. Zbl 1064.58010
Cohen, Ralph L.; Lupercio, Ernesto; Segal, Graeme B.
2000
Integrable systems. Twistors, loop groups, and Riemann surfaces. Based on lectures given at the instructional conference on integrable systems, Oxford, UK, September 1997. Zbl 1082.37501
Hitchin, N. J.; Segal, G. B.; Ward, R. S.
1999
Holomorphic spheres in loop groups and Bott periodicity. Zbl 0968.55007
Cohen, Ralph L.; Luperico, Ernesto; Segal, Graeme B.
1999
Loop groups and equations of KdV type. Zbl 0939.35163
Segal, Graeme; Wilson, George
1998
Topology of the space of $$SU(2)$$-monopoles in $$\mathbb{R}^ 3$$. Zbl 0870.57046
Segal, Graeme
1997
The cohomology of the space of magnetic monopoles. Zbl 0854.57029
Segal, Graeme; Selby, Alex
1996
Floer’s infinite dimensional Morse theory and homotopy theory. Zbl 0843.58019
Cohen, R. L.; Jones, J. D. S.; Segal, G. B.
1995
Lectures on Lie groups and Lie algebras. Zbl 0832.22001
Carter, Roger; Segal, Graeme; Macdonald, Ian
1995
Floer’s infinite-dimensional Morse theory and homotopy theory. Zbl 0996.58505
Cohen, R. L.; Jones, J. D. S.; Segal, G. B.
1994
The geometry of the KdV equation. Zbl 0741.35073
Segal, Graeme
1991
Geometric aspects of quantum field theory. Zbl 0757.53048
Segal, Graeme
1991
The interface of mathematics and particle physics. Based on the proceedings of a conference organized by the Institute of Mathematics and its Applications held at the University of Oxford, UK in September 1988. Zbl 0715.53058
1990
Loop groups. With an appendix by Segal and G. Wilson. Transl. from the 2nd English ed. and with a preface by A. V. Zelevinskij and A. O. Radul. (Gruppy petel’.) Zbl 0852.22002
Pressley, Andrew; Segal, Graeme B.
1990
On equivariant Euler characteristics. Zbl 0708.19004
Atiyah, Michael; Segal, Graeme
1989
Loop groups and harmonic maps. Zbl 0702.58017
Segal, Graeme
1989
Loop groups. Repr. with corrections. Zbl 0638.22009
Pressley, Andrew; Segal, Graeme
1988
The definition of conformal field theory. Zbl 0657.53060
Segal, G. B.
1988
Elliptic cohomology [after Landweber-Stong, Ochanine, Witten, and others]. Zbl 0686.55003
Segal, Graeme
1988
Loop groups. Zbl 0618.22011
Pressley, Andrew; Segal, Graeme
1986
Loop groups and equations of KdV type. Zbl 0592.35112
Segal, Graeme; Wilson, George
1985
Loop groups, Grassmannians and KdV equations. Zbl 0633.35064
Pressley, Andrew
1985
Loop groups. Zbl 0601.22011
Segal, G. B.
1985
Equivariant bundles with abelian structural group. Zbl 0526.55020
Lashof, R. K.; May, J. P.; Segal, G. B.
1983
Jacobi’s identity and an isomorphism between a symmetric algebra and an exterior algebra. Zbl 0533.22003
Segal, Graeme
1982
Unitary representations of some infinite dimensional groups. Zbl 0495.22017
Segal, Graeme
1981
Characteristic classes for permutation representations. Zbl 0494.57018
Segal, G. B.; Stretch, C. T.
1981
On equivariant homotopy theory. Zbl 0439.57021
James, I. M.; Segal, G. B.
1980
The topology of spaces of rational functions. Zbl 0427.55006
Segal, Graeme
1979
Classifying spaces related to foliations. Zbl 0398.57018
Segal, Graeme
1978
On equivariant homotopy type. Zbl 0403.57007
James, I. M.; Segal, G. B.
1978
The cohomology of the vector fields on a manifold. Zbl 0387.57012
Bott, Raoul; Segal, G.
1977
K-homology theory and algebraic K-theory. Zbl 0363.55002
Segal, Graeme
1977
Homology fibrations and the ’group-completion’ theorem. Zbl 0306.55020
McDuff, D.; Segal, G.
1976
$$K_i$$ groups of rings of algebraic integers. Zbl 0331.18015
Harris, B.; Segal, G.
1975
The multiplicative group of classical cohomology. Zbl 0321.55017
Segal, Graeme
1975
Classifying space of a topological group in the Gel’fand-Fuks sense. Zbl 0317.55017
Segal, G. B.
1975
Categories and cohomology theories. Zbl 0284.55016
Segal, Graeme
1974
Operations in stable homotopy theory. Zbl 0274.55016
Segal, Graeme
1974
New developments in topology. The edited and revised proceedings of the symposium on algebraic topology, Oxford, June 1972. Zbl 0265.00013
1974
Configuration-spaces and iterated loop-spaces. Zbl 0267.55020
Segal, Graeme
1973
The stable homotopy of complex projective space. Zbl 0266.55009
Segal, Graeme
1973
Permutation representations of finite p-groups. Zbl 0338.20017
Segal, Graeme
1972
Equivariant stable homotopy theory. Zbl 0225.55014
Segal, G. B.
1971
Exponential isomorphisms for $$\lambda$$-rings. Zbl 0226.13008
Atiyah, M. F.; Segal, G. B.
1971
Fredholm complexes. Zbl 0213.25403
Segal, G.
1970
Cohomology of topological groups. Zbl 0223.57034
Segal, Graeme
1970
Equivariant $$K$$-theory and completion. Zbl 0215.24403
Atiyah, Michael F.; Segal, G. B.
1969
Equivariant contractibility of the general linear group of Hilbert space. Zbl 0197.49203
Segal, G.
1969
Classifying spaces and spectral sequences. Zbl 0199.26404
Segal, Graeme
1968
Equivariant K-theory. Zbl 0199.26202
Segal, Graeme
1968
The index of elliptic operators. II. Zbl 0164.24201
Atiyah, Michael F.; Segal, G. B.
1968
The representation ring of a compact Lie group. Zbl 0209.06203
Segal, G.
1968
$$K$$-theory. Lecture notes by D. W. Anderson. Translation from the English by V. M. Bukhshtaber, V. N. Reshetnikov und D. B. Fuks. Edited by A. A. Kirillov. (Лекции по $$К$$-теории.) Zbl 0159.53401
Atiyah, Michael F.
1967
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### Cited by 2,348 Authors

 21 Carey, Alan L. 18 Helminck, Gerardus Franciscus 18 Mickelsson, Jouko 16 Freed, Daniel Stuart 15 Harnad, John 15 tom Dieck, Tammo 14 Guha, Partha 14 Moore, Gregory Winthrop 13 Dorfmeister, Josef F. 13 Kozlowski, Andrzej 13 Segal, Graeme B. 13 Sergeev, Armen Glebovich 13 Vogt, Rainer M. 12 Andruchow, Esteban 12 Blanc, David Abraham 12 Friedlander, Eric Mark 12 Neeb, Karl-Hermann 12 Previato, Emma 11 Dwyer, William G. 11 Kříž, Igor 11 Mathai, Varghese 11 Pickrell, Doug 11 Tillmann, Ulrike 11 Uribe, Bernardo 11 Xu, Feng 10 Frenkel, Igor B. 10 May, Jon Peter 10 Osorno, Angélica Maria 10 Szabo, Richard J. 10 Weiss, Michael S. 10 Yamaguchi, Kohhei 9 Cegarra, Antonio Martínez 9 Cohen, Frederick Ronald 9 Gusein-Zade, Sabir M. 9 Madsen, Ib Henning 9 Petrie, Ted 9 Schwänzl, Roland 9 Wang, Bailing 8 Atiyah, Michael Francis 8 Gesztesy, Fritz 8 Gomi, Kiyonori 8 Lepowsky, James 8 Miller, Jeremy A. 8 Monnier, Samuel 8 Palmer, John N. 8 Panasenko, Elena Aleksandrovna 8 Plaza Martín, Francisco José 8 Ramras, Daniel A. 7 Ayala, David 7 Berger, Clemens 7 Bergvelt, Maarten J. 7 Brander, David 7 Feĭgin, Boris L’vovich 7 Galatius, Søren 7 Gómez, José Manuel Estebaranz 7 Greenberg, Peter 7 Guest, Martin A. 7 Hopkins, Michael Jerome 7 Iritani, Hiroshi 7 Jing, Naihuan 7 Khesin, Boris A. 7 Kong, Liang 7 Konopelchenko, Boris Georgievich 7 Kupers, Alexander 7 Lück, Wolfgang 7 Mironov, Andrei D. 7 Moerdijk, Ieke 7 Murray, Michael K. 7 Randal-Williams, Oscar 7 Sati, Hisham 7 Shimakawa, Kazuhisa 7 Thomason, Robert Wayne 6 Brylinski, Jean-Luc 6 Carroll, Robert Wayne 6 Douglas, Christopher L. 6 Fiedorowicz, Zbigniew 6 Francis, John 6 Glazebrook, James F. 6 Hannabuss, Keith C. 6 Kan, Daniel Marinus 6 Kapranov, Mikhail M. 6 Kasman, Alex 6 Latch, Dana May 6 Marcolli, Matilde 6 McIntosh, Ian 6 Meinrenken, Eckhard 6 Minian, Elias Gabriel 6 Mitchell, Stephen Ames 6 Morozov, Alexei Yurievich 6 Neretin, Yuriĭ Aleksandrovich 6 Reshetikhin, Nikolai Yu. 6 Rosenberg, Jonathan Micah 6 Schlichtkrull, Christian 6 Scott, Simon G. 6 Teleman, Constantin 6 van de Leur, Johan W. 6 Wang, Hang 6 Wood, John C. 6 Živaljević, Rade T. 5 Adler, Mark ...and 2,248 more Authors
all top 5

### Cited in 275 Serials

 227 Communications in Mathematical Physics 143 Advances in Mathematics 106 Journal of Geometry and Physics 95 Transactions of the American Mathematical Society 92 Journal of Pure and Applied Algebra 78 Journal of Mathematical Physics 78 Mathematische Zeitschrift 64 Algebraic & Geometric Topology 62 Topology and its Applications 59 Journal of High Energy Physics 56 Journal of Functional Analysis 55 Letters in Mathematical Physics 51 Inventiones Mathematicae 44 Duke Mathematical Journal 44 Mathematische Annalen 43 Proceedings of the American Mathematical Society 37 Nuclear Physics. B 36 Journal of Algebra 34 Geometry & Topology 32 Publications of the Research Institute for Mathematical Sciences, Kyoto University 28 Bulletin of the American Mathematical Society. New Series 27 Annales de l’Institut Fourier 26 $$K$$-Theory 24 Theoretical and Mathematical Physics 24 Functional Analysis and its Applications 24 Acta Applicandae Mathematicae 23 Mathematical Proceedings of the Cambridge Philosophical Society 23 Manuscripta Mathematica 22 Reviews in Mathematical Physics 20 Communications in Algebra 19 Selecta Mathematica. New Series 19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 19 Journal of Homotopy and Related Structures 18 Acta Mathematica 18 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 18 Journal of the American Mathematical Society 17 Compositio Mathematica 16 International Journal of Mathematics 15 International Journal of Modern Physics A 15 Journal of $$K$$-Theory 14 Reports on Mathematical Physics 14 Journal of Soviet Mathematics 14 Journal of Mathematical Sciences (New York) 13 Journal of Noncommutative Geometry 12 Israel Journal of Mathematics 12 Publications Mathématiques 12 Physica D 12 Annals of Mathematics. Second Series 11 Annals of Global Analysis and Geometry 11 Differential Geometry and its Applications 10 Memoirs of the American Mathematical Society 10 Journal of Nonlinear Mathematical Physics 9 Applied Categorical Structures 9 Communications in Contemporary Mathematics 9 Bulletin of the American Mathematical Society 9 Journal of Topology 8 Physics Letters. B 8 Archiv der Mathematik 8 Geometriae Dedicata 8 Journal für die Reine und Angewandte Mathematik 8 Theory and Applications of Categories 8 Journal of the European Mathematical Society (JEMS) 7 Communications on Pure and Applied Mathematics 7 Cahiers de Topologie et Géométrie Différentielle Catégoriques 7 Forum Mathematicum 7 Annales Henri Poincaré 7 International Journal of Geometric Methods in Modern Physics 7 Proceedings of the Steklov Institute of Mathematics 6 Applicable Analysis 6 Integral Equations and Operator Theory 6 Journal of the Mathematical Society of Japan 6 Tohoku Mathematical Journal. Second Series 6 Research in the Mathematical Sciences 5 Bulletin de la Société Mathématique de France 5 Glasgow Mathematical Journal 5 Journal of Combinatorial Theory. Series A 5 Journal of Differential Equations 5 Journal of Number Theory 5 Mathematische Nachrichten 5 Mathematika 5 Linear Algebra and its Applications 5 Journal of Algebraic Combinatorics 5 St. Petersburg Mathematical Journal 5 Mathematical Physics, Analysis and Geometry 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Japanese Journal of Mathematics. 3rd Series 5 Analysis and Mathematical Physics 5 Annals of $$K$$-Theory 4 Journal of Mathematical Analysis and Applications 4 Mathematical Notes 4 Rocky Mountain Journal of Mathematics 4 Russian Mathematical Surveys 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Proceedings of the Japan Academy. Series A 4 Chinese Annals of Mathematics. Series B 4 The Journal of Geometric Analysis 4 Geometric and Functional Analysis. GAFA 4 Expositiones Mathematicae 4 Indagationes Mathematicae. New Series 4 Experimental Mathematics ...and 175 more Serials
all top 5

### Cited in 57 Fields

 765 Algebraic topology (55-XX) 588 Quantum theory (81-XX) 449 Manifolds and cell complexes (57-XX) 423 Global analysis, analysis on manifolds (58-XX) 418 Algebraic geometry (14-XX) 362 Differential geometry (53-XX) 329 Nonassociative rings and algebras (17-XX) 317 $$K$$-theory (19-XX) 314 Category theory; homological algebra (18-XX) 287 Dynamical systems and ergodic theory (37-XX) 276 Topological groups, Lie groups (22-XX) 210 Partial differential equations (35-XX) 187 Group theory and generalizations (20-XX) 158 Functional analysis (46-XX) 115 Several complex variables and analytic spaces (32-XX) 80 Relativity and gravitational theory (83-XX) 78 Operator theory (47-XX) 70 Associative rings and algebras (16-XX) 67 Combinatorics (05-XX) 67 Functions of a complex variable (30-XX) 66 Number theory (11-XX) 44 Commutative algebra (13-XX) 36 Ordinary differential equations (34-XX) 31 General topology (54-XX) 27 Mechanics of particles and systems (70-XX) 24 Statistical mechanics, structure of matter (82-XX) 20 Special functions (33-XX) 20 Probability theory and stochastic processes (60-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Convex and discrete geometry (52-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 13 Abstract harmonic analysis (43-XX) 10 Difference and functional equations (39-XX) 10 Numerical analysis (65-XX) 10 Information and communication theory, circuits (94-XX) 9 History and biography (01-XX) 9 Approximations and expansions (41-XX) 9 Computer science (68-XX) 8 Systems theory; control (93-XX) 7 General and overarching topics; collections (00-XX) 6 Mathematical logic and foundations (03-XX) 6 Geometry (51-XX) 5 Field theory and polynomials (12-XX) 5 Measure and integration (28-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Optics, electromagnetic theory (78-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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