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## Baum, Paul Frank

Compute Distance To:
 Author ID: baum.paul-f Published as: Baum, P.; Baum, P. F.; Baum, Paul; Baum, Paul F. External Links: MGP · Wikidata · GND
 Documents Indexed: 73 Publications since 1963, including 2 Books Biographic References: 2 Publications
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#### Co-Authors

 11 single-authored 19 Plymen, Roger J. 14 Aubert, Anne-Marie 10 Solleveld, Maarten 6 Higson, Nigel 5 Connes, Alain 5 Douglas, Ronald George 5 Fulton, William 5 Hajac, Piotr M. 4 MacPherson, Robert Duncan 3 Schick, Thomas 3 van Erp, Erik 2 Block, Jonathan L. 2 Bott, Raoul Harry 2 Guentner, Erik Paul 2 Matthes, Rainer 2 Millington, Stephen 2 Nistor, Victor 2 Quart, George 2 Szymański, Wojciech 2 Willett, Rufus 1 Browder, William 1 Brylinski, Jean-Luc 1 Carey, Alan L. 1 Cheeger, Jeff 1 Dabrowski, Ludwik 1 De Commer, Kenny 1 Ehberger, D. 1 Karoubi, Max 1 Kealhofer, C. 1 Krausz, F. 1 Oyono-Oyono, Hervé 1 Ryabov, Alexander D. 1 Sánchez-García, Rubén J. 1 Schneider, Peter 1 Schneider, W. Joel 1 Smith, Larry 1 Taylor, Michael Eugene 1 Walter, Michael 1 Wang, Bailing
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#### Serials

 6 $$K$$-Theory 3 Acta Mathematica 3 Topology 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Journal of Differential Geometry 2 Documenta Mathematica 2 Bulletin of the American Mathematical Society 2 Pure and Applied Mathematics Quarterly 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 L’Enseignement Mathématique. 2e Série 1 Representation Theory 1 The Quarterly Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Noncommutative Geometry 1 Science 1 Münster Journal of Mathematics 1 Journal of $$K$$-Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Research in the Mathematical Sciences 1 Annals of $$K$$-Theory
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#### Fields

 22 Functional analysis (46-XX) 21 $$K$$-theory (19-XX) 18 Algebraic topology (55-XX) 16 Group theory and generalizations (20-XX) 16 Topological groups, Lie groups (22-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 Algebraic geometry (14-XX) 7 Manifolds and cell complexes (57-XX) 5 Associative rings and algebras (16-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Number theory (11-XX) 3 Differential geometry (53-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

65 Publications have been cited 960 times in 705 Documents Cited by Year
Classifying space for proper actions and $$K$$-theory of group $$C^*$$- algebras. Zbl 0830.46061
Baum, Paul; Connes, Alain; Higson, Nigel
1994
Riemann-Roch for singular varieties. Zbl 0332.14003
Baum, Paul; Fulton, William; MacPherson, Robert
1975
Singularities of holomorphic foliations. Zbl 0268.57011
Baum, Paul; Bott, Raoul
1972
Geometric $$K$$-theory for Lie groups and foliations. Zbl 0985.46042
Baum, Paul; Connes, Alain
2000
Riemann-Roch and topological K-theory for singular varieties. Zbl 0474.14004
Baum, Paul; Fulton, William; MacPherson, Robert
1979
The cohomology of quotients of classical groups. Zbl 0152.22101
Baum, P. F.; Browder, W.
1965
K homology and index theory. Zbl 0532.55004
Baum, Paul; Douglas, Ronald G.
1982
On the cohomology of homogeneous spaces. Zbl 0158.42002
Baum, Paul F.
1968
Chern character for discrete groups. Zbl 0656.55005
Baum, Paul; Connes, Alain
1988
On the zeroes of meromorphic vector-fields. Zbl 0193.52201
Baum, Paul F.; Bott, Raoul
1970
On the equivalence of geometric and analytic $$K$$-homology. Zbl 1146.19004
Baum, Paul; Higson, Nigel; Schick, Thomas
2007
Cycles and relative cycles in analytic K-homology. Zbl 0697.58050
Baum, Paul; Douglas, Ronald G.; Taylor, Michael E.
1989
Lefschetz-Riemann-Roch for singular varieties. Zbl 0454.14009
Baum, Paul; Fulton, William; Quart, George
1979
Expanders, exact crossed products, and the Baum-Connes conjecture. Zbl 1331.46064
Baum, Paul; Guentner, Erik; Willett, Rufus
2016
K-theory for discrete groups. Zbl 0685.46041
Baum, Paul; Connes, Alain
1988
Index theory, bordism, and K-homology. Zbl 0507.55004
Baum, Paul; Douglas, Ronald G.
1982
Free actions of compact quantum groups on unital $$C^\ast$$-algebras. Zbl 1386.46055
Baum, Paul F.; De Commer, Kenny; Hajac, Piotr M.
2017
The local Langlands correspondence for inner forms of $$\mathrm{SL}_{n}$$. Zbl 1394.22015
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
Geometric structure in smooth dual and local Langlands conjecture. Zbl 1371.11097
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2014
The Hecke algebra of a reductive $$p$$-adic group: a geometric conjecture. Zbl 1120.14001
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2006
The principal series of $$p$$-adic groups with disconnected center. Zbl 1383.20033
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2017
On the Baum-Connes conjecture in the real case. Zbl 1064.19003
Baum, Paul; Karoubi, Max
2004
The $$K$$-theory of Heegaard-type quantum 3-spheres. Zbl 1111.46051
Baum, Paul F.; Hajac, Piotr M.; Matthes, Rainer; Szymański, Wojciech
2005
Periodic cyclic homology of Iwahori-Hecke algebras. Zbl 1056.16005
Baum, Paul; Nistor, Victor
2002
The real cohomology of differentiable fibre bundles. Zbl 0166.19302
Baum, Paul; Smith, Larry
1967
A geometric description of equivariant K-homology for proper actions. Zbl 1216.19006
Baum, Paul; Higson, Nigel; Schick, Thomas
2010
Relative $$K$$ homology and $$C^*$$ algebras. Zbl 0755.46035
Baum, Paul; Douglas, Ronald G.
1991
Quadratic maps and stable homotopy groups of spheres. Zbl 0166.19102
Baum, P. F.
1967
On the local Langlands correspondence for non-tempered representations. Zbl 1408.22017
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2014
Equivariant geometric K-homology for compact Lie group actions. Zbl 1242.19006
Baum, Paul; Oyono-Oyono, Hervé; Schick, Thomas; Walter, Michael
2010
A proof of the Baum-Connes conjecture for $$p$$-adic $$GL(n)$$. Zbl 0918.46061
Baum, Paul; Higson, Nigel; Plymen, Roger
1997
Leafwise homotopy equivalence and rational Pontrjagin classes. Zbl 0641.57008
Baum, Paul; Connes, Alain
1985
Cohomologie équivariante délocalisée. (Delocalized equivariant cohomology). Zbl 0589.55003
Baum, Paul; Brylinski, Jean-Luc; MacPherson, Robert
1985
Structure of foliation singularities. Zbl 0296.57007
Baum, Paul
1975
Depth and the local Langlands correspondence. Zbl 1388.22010
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
Noncommutative Borsuk-Ulam-type conjectures. Zbl 1343.46064
Baum, Paul F.; Dąbrowski, Ludwik; Hajac, Piotr M.
2015
Representation theory of $$p$$-adic groups: A view from operator algebras. Zbl 0982.19006
Baum, P. F.; Higson, N.; Plymen, R. J.
2000
Infinitesimal isometries and Pontryagin numbers. Zbl 0179.28802
Baum, P. F.; Cheeger, J.
1969
Hecke algebras for inner forms of $$p$$-adic special linear groups. Zbl 1436.20090
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2017
Geometric structure in the principal series of the $$p$$-adic group $$\mathbf G_2$$. Zbl 1268.22015
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2011
Geometric structure in the representation theory of $$p$$-adic groups. Zbl 1128.22009
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2007
$$K$$-homology and index theory on contact manifolds. Zbl 1323.58017
Baum, Paul F.; van Erp, Erik
2014
Conjectures about $$p$$-adic groups and their noncommutative geometry. Zbl 06859873
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2017
Geometric structure for the principal series of a split reductive $$p$$-adic group with connected centre. Zbl 1347.22013
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
Equivariant homology for $$SL(2)$$ of a $$p$$-adic field. Zbl 0844.46043
Baum, Paul; Higson, Nigel; Plymen, Roger
1993
Equivariant bicycles on singular spaces. Zbl 0719.19003
Baum, Paul; Block, Jonathan
1990
Local Isomorphism of compact connected Lie groups. Zbl 0178.02802
Baum, P. F.
1967
Smooth duals of inner forms of $$\mathrm{GL}_n$$ and $$\mathrm{SL}_n$$. Zbl 07052098
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2019
Equivariant-bivariant Chern character for profinite groups. Zbl 0997.55010
Baum, P.; Schneider, P.
2002
Vector fields and Gauss-Bonnet. Zbl 0203.54102
Baum, P. F.
1970
Cohomology of homogeneous spaces. Zbl 0152.40503
Baum, P. F.
1963
$$K$$-homology and Fredholm operators. I: Dirac operators. Zbl 1409.58014
Baum, Paul F.; van Erp, Erik
2018
$$K$$-homology and Fredholm operators. II: Elliptic operators. Zbl 1445.58011
Baum, Paul F.; van Erp, Erik
2016
Exactness and the Kadison-Kaplansky conjecture. Zbl 1366.46045
Baum, Paul; Guentner, Erik; Willett, Rufus
2016
Local proof of algebraic characterization of free actions. Zbl 1295.22010
Baum, Paul F.; Hajac, Piotr M.
2014
Geometric structure in the representation theory of reductive $$p$$-adic groups. II. Zbl 1246.22019
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2011
Excess intersection in equivariant bivariant $$K$$-theory. Zbl 0762.19008
Baum, Paul; Block, Jonathan
1992
Toeplitz operators and Poincaré duality. Zbl 0517.55001
Baum, Paul; Douglas, Ronald G.
1982
Lefschetz-Riemann-Roch for singular varieties. Zbl 0357.14004
Baum, Paul; Fulton, William; Quart, George
1977
All-optical control and metrology of electron pulses. Zbl 1355.78007
Kealhofer, C.; Schneider, W.; Ehberger, D.; Ryabov, A.; Krausz, F.; Baum, P.
2016
$$K$$-cycles for twisted $$K$$-homology. Zbl 1300.19003
Baum, Paul; Carey, Alan; Wang, Bai-Ling
2013
Erratum: The $$K$$-theory of Heegaard-type quantum 3-spheres. Zbl 1210.46054
Baum, Paul F.; Hajac, Piotr M.; Matthes, Rainer; Szymański, Wojciech
2006
Local-global principle for the Baum-Connes conjecture with coefficients. Zbl 1034.46073
Baum, Paul; Millington, Stephen; Plymen, Roger
2003
Periodic cyclic homology of Iwahori-Hecke algebras. Zbl 1013.16003
Baum, Paul; Nistor, Victor
2001
A proof of the Baum-Connes conjecture for reductive adelic groups. Zbl 1105.19300
Baum, Paul; Millington, Stephen; Plymen, Roger
2001
Smooth duals of inner forms of $$\mathrm{GL}_n$$ and $$\mathrm{SL}_n$$. Zbl 07052098
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2019
$$K$$-homology and Fredholm operators. I: Dirac operators. Zbl 1409.58014
Baum, Paul F.; van Erp, Erik
2018
Free actions of compact quantum groups on unital $$C^\ast$$-algebras. Zbl 1386.46055
Baum, Paul F.; De Commer, Kenny; Hajac, Piotr M.
2017
The principal series of $$p$$-adic groups with disconnected center. Zbl 1383.20033
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2017
Hecke algebras for inner forms of $$p$$-adic special linear groups. Zbl 1436.20090
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2017
Conjectures about $$p$$-adic groups and their noncommutative geometry. Zbl 06859873
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2017
Expanders, exact crossed products, and the Baum-Connes conjecture. Zbl 1331.46064
Baum, Paul; Guentner, Erik; Willett, Rufus
2016
The local Langlands correspondence for inner forms of $$\mathrm{SL}_{n}$$. Zbl 1394.22015
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
Depth and the local Langlands correspondence. Zbl 1388.22010
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
Geometric structure for the principal series of a split reductive $$p$$-adic group with connected centre. Zbl 1347.22013
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
$$K$$-homology and Fredholm operators. II: Elliptic operators. Zbl 1445.58011
Baum, Paul F.; van Erp, Erik
2016
Exactness and the Kadison-Kaplansky conjecture. Zbl 1366.46045
Baum, Paul; Guentner, Erik; Willett, Rufus
2016
All-optical control and metrology of electron pulses. Zbl 1355.78007
Kealhofer, C.; Schneider, W.; Ehberger, D.; Ryabov, A.; Krausz, F.; Baum, P.
2016
Noncommutative Borsuk-Ulam-type conjectures. Zbl 1343.46064
Baum, Paul F.; Dąbrowski, Ludwik; Hajac, Piotr M.
2015
Geometric structure in smooth dual and local Langlands conjecture. Zbl 1371.11097
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2014
On the local Langlands correspondence for non-tempered representations. Zbl 1408.22017
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2014
$$K$$-homology and index theory on contact manifolds. Zbl 1323.58017
Baum, Paul F.; van Erp, Erik
2014
Local proof of algebraic characterization of free actions. Zbl 1295.22010
Baum, Paul F.; Hajac, Piotr M.
2014
$$K$$-cycles for twisted $$K$$-homology. Zbl 1300.19003
Baum, Paul; Carey, Alan; Wang, Bai-Ling
2013
Geometric structure in the principal series of the $$p$$-adic group $$\mathbf G_2$$. Zbl 1268.22015
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2011
Geometric structure in the representation theory of reductive $$p$$-adic groups. II. Zbl 1246.22019
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2011
A geometric description of equivariant K-homology for proper actions. Zbl 1216.19006
Baum, Paul; Higson, Nigel; Schick, Thomas
2010
Equivariant geometric K-homology for compact Lie group actions. Zbl 1242.19006
Baum, Paul; Oyono-Oyono, Hervé; Schick, Thomas; Walter, Michael
2010
On the equivalence of geometric and analytic $$K$$-homology. Zbl 1146.19004
Baum, Paul; Higson, Nigel; Schick, Thomas
2007
Geometric structure in the representation theory of $$p$$-adic groups. Zbl 1128.22009
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2007
The Hecke algebra of a reductive $$p$$-adic group: a geometric conjecture. Zbl 1120.14001
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2006
Erratum: The $$K$$-theory of Heegaard-type quantum 3-spheres. Zbl 1210.46054
Baum, Paul F.; Hajac, Piotr M.; Matthes, Rainer; Szymański, Wojciech
2006
The $$K$$-theory of Heegaard-type quantum 3-spheres. Zbl 1111.46051
Baum, Paul F.; Hajac, Piotr M.; Matthes, Rainer; Szymański, Wojciech
2005
On the Baum-Connes conjecture in the real case. Zbl 1064.19003
Baum, Paul; Karoubi, Max
2004
Local-global principle for the Baum-Connes conjecture with coefficients. Zbl 1034.46073
Baum, Paul; Millington, Stephen; Plymen, Roger
2003
Periodic cyclic homology of Iwahori-Hecke algebras. Zbl 1056.16005
Baum, Paul; Nistor, Victor
2002
Equivariant-bivariant Chern character for profinite groups. Zbl 0997.55010
Baum, P.; Schneider, P.
2002
Periodic cyclic homology of Iwahori-Hecke algebras. Zbl 1013.16003
Baum, Paul; Nistor, Victor
2001
A proof of the Baum-Connes conjecture for reductive adelic groups. Zbl 1105.19300
Baum, Paul; Millington, Stephen; Plymen, Roger
2001
Geometric $$K$$-theory for Lie groups and foliations. Zbl 0985.46042
Baum, Paul; Connes, Alain
2000
Representation theory of $$p$$-adic groups: A view from operator algebras. Zbl 0982.19006
Baum, P. F.; Higson, N.; Plymen, R. J.
2000
A proof of the Baum-Connes conjecture for $$p$$-adic $$GL(n)$$. Zbl 0918.46061
Baum, Paul; Higson, Nigel; Plymen, Roger
1997
Classifying space for proper actions and $$K$$-theory of group $$C^*$$- algebras. Zbl 0830.46061
Baum, Paul; Connes, Alain; Higson, Nigel
1994
Equivariant homology for $$SL(2)$$ of a $$p$$-adic field. Zbl 0844.46043
Baum, Paul; Higson, Nigel; Plymen, Roger
1993
Excess intersection in equivariant bivariant $$K$$-theory. Zbl 0762.19008
Baum, Paul; Block, Jonathan
1992
Relative $$K$$ homology and $$C^*$$ algebras. Zbl 0755.46035
Baum, Paul; Douglas, Ronald G.
1991
Equivariant bicycles on singular spaces. Zbl 0719.19003
Baum, Paul; Block, Jonathan
1990
Cycles and relative cycles in analytic K-homology. Zbl 0697.58050
Baum, Paul; Douglas, Ronald G.; Taylor, Michael E.
1989
Chern character for discrete groups. Zbl 0656.55005
Baum, Paul; Connes, Alain
1988
K-theory for discrete groups. Zbl 0685.46041
Baum, Paul; Connes, Alain
1988
Leafwise homotopy equivalence and rational Pontrjagin classes. Zbl 0641.57008
Baum, Paul; Connes, Alain
1985
Cohomologie équivariante délocalisée. (Delocalized equivariant cohomology). Zbl 0589.55003
Baum, Paul; Brylinski, Jean-Luc; MacPherson, Robert
1985
K homology and index theory. Zbl 0532.55004
Baum, Paul; Douglas, Ronald G.
1982
Index theory, bordism, and K-homology. Zbl 0507.55004
Baum, Paul; Douglas, Ronald G.
1982
Toeplitz operators and Poincaré duality. Zbl 0517.55001
Baum, Paul; Douglas, Ronald G.
1982
Riemann-Roch and topological K-theory for singular varieties. Zbl 0474.14004
Baum, Paul; Fulton, William; MacPherson, Robert
1979
Lefschetz-Riemann-Roch for singular varieties. Zbl 0454.14009
Baum, Paul; Fulton, William; Quart, George
1979
Lefschetz-Riemann-Roch for singular varieties. Zbl 0357.14004
Baum, Paul; Fulton, William; Quart, George
1977
Riemann-Roch for singular varieties. Zbl 0332.14003
Baum, Paul; Fulton, William; MacPherson, Robert
1975
Structure of foliation singularities. Zbl 0296.57007
Baum, Paul
1975
Singularities of holomorphic foliations. Zbl 0268.57011
Baum, Paul; Bott, Raoul
1972
On the zeroes of meromorphic vector-fields. Zbl 0193.52201
Baum, Paul F.; Bott, Raoul
1970
Vector fields and Gauss-Bonnet. Zbl 0203.54102
Baum, P. F.
1970
Infinitesimal isometries and Pontryagin numbers. Zbl 0179.28802
Baum, P. F.; Cheeger, J.
1969
On the cohomology of homogeneous spaces. Zbl 0158.42002
Baum, Paul F.
1968
The real cohomology of differentiable fibre bundles. Zbl 0166.19302
Baum, Paul; Smith, Larry
1967
Quadratic maps and stable homotopy groups of spheres. Zbl 0166.19102
Baum, P. F.
1967
Local Isomorphism of compact connected Lie groups. Zbl 0178.02802
Baum, P. F.
1967
The cohomology of quotients of classical groups. Zbl 0152.22101
Baum, P. F.; Browder, W.
1965
Cohomology of homogeneous spaces. Zbl 0152.40503
Baum, P. F.
1963
all top 5

#### Cited by 643 Authors

 20 Baum, Paul Frank 20 Yokura, Shoji 19 Solleveld, Maarten 18 Yu, Guoliang 17 Plymen, Roger J. 16 Schürmann, Jörg 15 Aubert, Anne-Marie 12 Maxim, Laurentiu G. 11 Echterhoff, Siegfried 11 Mathai, Varghese 9 Benameur, Moulay-Tahar 9 Gillet, Henri A. 8 Corrêa Barros, Maurício Jun. 8 Emerson, Heath 8 Hochs, Peter 8 Schick, Thomas 7 Brasselet, Jean-Paul 7 Deeley, Robin J. 7 Hajac, Piotr M. 7 Higson, Nigel 7 Soares, Marcio G. 7 Suwa, Tatsuo 6 Buss, Alcides 6 Cappell, Sylvain E. 6 Douglas, Ronald George 6 Goffeng, Magnus 6 Kasparov, Gennadi G. 6 Kono, Akira 6 Meyer, Ralf 6 Rosenberg, Jonathan Micah 6 Skandalis, Georges 6 Valette, Alain 6 Willett, Rufus 5 Asuke, Taro 5 Bunke, Ulrich 5 Calvo-Andrade, Omegar 5 Fernández-Pérez, Arturo 5 Fulton, William 5 Lehmann, Daniel J. 5 Mimura, Mamoru 5 Nest, Ryszard 5 Oyono-Oyono, Hervé 5 Shaneson, Julius L. 5 Smith, Larry 5 Xie, Zhizhang 4 Chen, Xiaoman 4 Coutinho, S. C. 4 Druel, Stéphane 4 Duan, Haibao 4 Gong, Guihua 4 Haskell, Peter 4 Kuribayashi, Katsuhiko 4 Li, Kang 4 Lott, John 4 Lück, Wolfgang 4 Mesland, Bram 4 Passer, Benjamin W. 4 Piazza, Paolo 4 Ponge, Raphaël S. 4 Rennie, Adam 4 Savin, Anton Yur’evich 4 Sims, Aidan 4 Soulé, Christophe 4 Sternin, Boris Yur’evich 4 Szabo, Richard J. 4 Thomason, Robert Wayne 4 Voigt, Christian 4 Wang, Hang 4 Wang, Qin 3 Azzali, Sara 3 Bárcenas, Noé 3 Bismut, Jean-Michel 3 Bracci, Filippo 3 Chirvăsitu, Alexandru 3 Edidin, Dan 3 Elmrabty, Adnane 3 Frolkina, Olga D. 3 Fu, Benyin 3 Graham, William A. 3 Guentner, Erik Paul 3 Guo, Hao 3 Heitsch, James L. 3 Hurder, Steven E. 3 Ji, Ronghui 3 Julg, Pierre 3 Kaliszewski, Steven Paul 3 Lehmann, Daniel 3 MacPherson, Robert Duncan 3 Markman, Eyal 3 Matthey, Michel 3 Mitchener, Paul D. 3 Pask, David 3 Petrosyan, Nansen 3 Quigg, John C. 3 Saeki, Akihiro 3 Saito, Morihiko 3 Song, Yanli 3 Tang, Xiang 3 van Erp, Erik 3 Wang, Bailing ...and 543 more Authors
all top 5

#### Cited in 157 Serials

 58 Advances in Mathematics 34 Journal of Functional Analysis 32 Journal of Noncommutative Geometry 26 Inventiones Mathematicae 26 Mathematische Annalen 23 Transactions of the American Mathematical Society 20 Journal of Pure and Applied Algebra 19 Proceedings of the American Mathematical Society 17 Journal of Geometry and Physics 17 Duke Mathematical Journal 16 Annales de l’Institut Fourier 16 $$K$$-Theory 15 Topology and its Applications 12 Communications in Mathematical Physics 12 Journal of Algebra 11 Mathematische Zeitschrift 11 Geometry & Topology 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Bulletin of the American Mathematical Society 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 9 International Journal of Mathematics 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Acta Mathematica 7 Publications Mathématiques 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Documenta Mathematica 7 Algebraic & Geometric Topology 6 Journal of Soviet Mathematics 6 Proceedings of the Japan Academy. Series A 6 Differential Geometry and its Applications 6 Bulletin of the American Mathematical Society. New Series 6 Journal of $$K$$-Theory 5 Compositio Mathematica 5 Geometriae Dedicata 5 Journal of the American Mathematical Society 5 Journal of Topology and Analysis 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Nuclear Physics. B 4 Rocky Mountain Journal of Mathematics 4 Journal of Number Theory 4 Journal für die Reine und Angewandte Mathematik 4 Selecta Mathematica. New Series 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Homotopy and Related Structures 3 Bulletin de la Société Mathématique de France 3 Annals of Global Analysis and Geometry 3 Journal of Algebraic Geometry 3 Representation Theory 3 Bulletin of the Brazilian Mathematical Society. New Series 2 Bulletin of the Australian Mathematical Society 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Reviews in Mathematical Physics 2 Anais da Academia Brasileira de Ciências 2 Functional Analysis and its Applications 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Michigan Mathematical Journal 2 Pacific Journal of Mathematics 2 Publicacions Matemàtiques 2 Forum Mathematicum 2 Geometric and Functional Analysis. GAFA 2 Expositiones Mathematicae 2 Journal of Mathematical Sciences (New York) 2 The New York Journal of Mathematics 2 Journal of Lie Theory 2 Electronic Research Announcements of the American Mathematical Society 2 Transformation Groups 2 Algebras and Representation Theory 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Proceedings of the Steklov Institute of Mathematics 2 Groups, Geometry, and Dynamics 2 Algebra & Number Theory 2 European Journal of Pure and Applied Mathematics 2 Science China. Mathematics 2 Journal of Singularities 2 Kyoto Journal of Mathematics 2 Research in the Mathematical Sciences 2 European Journal of Mathematics 2 Complex Manifolds 2 Annals of $$K$$-Theory 1 Modern Physics Letters A 1 Communications in Algebra 1 Discrete Mathematics 1 Houston Journal of Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Physics Reports 1 Reports on Mathematical Physics 1 Studia Mathematica 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Glasgow Mathematical Journal 1 Memoirs of the American Mathematical Society ...and 57 more Serials
all top 5

#### Cited in 41 Fields

 204 $$K$$-theory (19-XX) 186 Functional analysis (46-XX) 171 Algebraic geometry (14-XX) 145 Global analysis, analysis on manifolds (58-XX) 144 Algebraic topology (55-XX) 131 Manifolds and cell complexes (57-XX) 118 Several complex variables and analytic spaces (32-XX) 87 Topological groups, Lie groups (22-XX) 73 Differential geometry (53-XX) 67 Group theory and generalizations (20-XX) 40 Category theory; homological algebra (18-XX) 35 Quantum theory (81-XX) 34 Dynamical systems and ergodic theory (37-XX) 30 Associative rings and algebras (16-XX) 27 Number theory (11-XX) 18 Operator theory (47-XX) 15 Commutative algebra (13-XX) 12 Nonassociative rings and algebras (17-XX) 11 Abstract harmonic analysis (43-XX) 10 General topology (54-XX) 7 Ordinary differential equations (34-XX) 6 Combinatorics (05-XX) 6 Field theory and polynomials (12-XX) 6 Partial differential equations (35-XX) 5 Convex and discrete geometry (52-XX) 4 Functions of a complex variable (30-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)

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