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Bott, Raoul Harry (b. 1923 d. 2005)

Author ID: bott.raoul-h Recent zbMATH articles by "Bott, Raoul Harry"
Published as: Bott, Raoul; Bott, R.; Bott, Raoul H.
External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef
Awards: Wolf Prize (2000)
all top 5

Co-Authors

66 single-authored
20 Atiyah, Michael Francis
5 MacPherson, Robert Duncan
5 Samelson, Hans
5 Tu, Loring W.
4 Gårding, Lars
4 Jaffe, Arthur Michael
4 Singer, Isadore Manuel
4 Taubes, Clifford Henry
4 Yau, Shing-Tung
3 Cattaneo, Alberto Sergio
3 Chern, Shiing-Shen
3 Jerison, David S.
3 Patodi, Vijay Kumar
2 Bar-Natan, Dror
2 Baum, Paul Frank
2 Earle, Clifford J.
2 Hejhal, Dennis A.
2 Jørgensen, Troels
2 Krantz, Steven George
2 Lusztig, George
2 Marden, Albert
2 Osserman, Robert
2 Penner, Robert C.
2 Stasheff, James D.
2 Tolman, Susan
2 Tongring, Nils
2 Weitsman, Jonathan
1 Andersen, Jørgen Ellegaard
1 Baseilhac, Stéphane
1 Benedetti, Riccardo
1 Berger, Marcel
1 Boileau, Michel Charles
1 Carter, J. Scott
1 Chekhov, Leonid O.
1 Conlon, Lawrence
1 Deloup, Florian L.
1 Duffin, Richard James
1 Dunfield, Nathan M.
1 Epstein, Charles Lawrence
1 Farge, Marie
1 Fenn, Roger A.
1 Ferrand, Emmanuel
1 Garoufalidis, Stavros
1 Gitler Hammer, Samuel Carlos
1 Goodwillie, Thomas Gehret
1 Goussarov, Mikhail
1 Guadagnini, Enore
1 Habiro, H.
1 Haefliger, André
1 Hansen, Søren Kold
1 Harikae, Toshio
1 Heitsch, James L.
1 Hildebrandt, Theophil Henry
1 Hopkins, Michael Jerome
1 James, Ioan Mackenzie
1 Jeffrey, Lisa Claire
1 Jenkins, James Allister
1 Jenkis, James
1 Jones, Vaughan Frederick Randal
1 Kashaev, Rinat M.
1 Kauffman, Louis Hirsch
1 Kauffmann, Robert M.
1 Kawahigashi, Yasuyuki
1 Kerler, Thomas
1 Kevlahan, Nicholas K.-R.
1 Kidwell, Mark Elliot
1 Kohno, Toshitake
1 Kricker, Andrew
1 Le, Thang Tu Quoc
1 Lescop, Christine
1 Lochak, Pierre
1 Masbaum, Gregor
1 Massuyeau, Gwénaël
1 Mather, John N.
1 Mayberry, John P.
1 Milnor, John Willard
1 Morton, Hugh R.
1 Murakami, Hitoshi
1 Murakami, Jun
1 Nakanishi, Yasutaka
1 Ohtsuki, Tomotada
1 Ohyama, Yoshiyuki
1 Okamoto, Miyuki
1 Okuda, Nobuki
1 Peixoto, Mauricio Matos
1 Pilo, Luigi
1 Polyak, Michael
1 Przytycki, Józef Henryk
1 Ritt, Robert K.
1 Rothe, Erich Hans
1 Rourke, Colin P.
1 Rozansky, Lev
1 Sanderson, Brian J.
1 Sato, Nobuya
1 Schneider, Kai
1 Seeley, Robert Thomas
1 Segal, Graeme B.
1 Shapiro, Arnold S.
1 Shimura, Goro
1 Shulman, Herbert
...and 16 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

101 Publications have been cited 5,981 times in 5,070 Documents Cited by Year
Differential forms in algebraic topology. Zbl 0496.55001
Bott, Raoul; Tu, Loring W.
955
1982
The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014
Atiyah, Michael F.; Bott, Raoul
733
1983
Clifford modules. Zbl 0146.19001
Atiyah, Michael F.; Bott, Raoul; Shapiro, A.
404
1964
The moment map and equivariant cohomology. Zbl 0521.58025
Atiyah, Michael F.; Bott, Raoul
351
1984
Homogeneous vector bundles. Zbl 0094.35701
Bott, Raoul
306
1957
A Lefschetz fixed point formula for elliptic complexes. II: Applications. Zbl 0167.21703
Atiyah, Michael F.; Bott, Raoul
219
1968
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
214
1973
A Lefschetz fixed point formula for elliptic complexes. I. Zbl 0161.43201
Atiyah, Michael F.; Bott, Raoul
161
1967
Applications of the theory of Morse to symmetric spaces. Zbl 0101.39702
Bott, Raoul; Samelson, Hans
151
1961
The stable homotopy of the classical groups. Zbl 0129.15601
Bott, Raoul
148
1959
On the iteration of closed geodesics and the Sturm intersection theory. Zbl 0074.17202
Bott, Raoul
134
1956
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section. Zbl 0148.31906
Bott, Raoul; Chern, Shiing-shen
128
1965
On the self-linking of knots. Zbl 0863.57004
Bott, Raoul; Taubes, Clifford
102
1994
Lectures on characteristic classes and foliations. Notes by Lawrence Conlon. Appendices by J. Stasheff. Zbl 0241.57010
Bott, Raoul
101
1972
Lectures on Morse theory, old and new. Zbl 0505.58001
Bott, Raoul
97
1982
Lacunas for hyperbolic differential operators with constant coefficients.I. Zbl 0191.11203
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
91
1970
Singularities of holomorphic foliations. Zbl 0268.57011
Baum, Paul; Bott, Raoul
90
1972
On the parallelizability of the spheres. Zbl 0082.16602
Bott, Raoul; Milnor, John W.
89
1958
Nondegenerate critical manifolds. Zbl 0058.09101
Bott, Raoul
87
1954
The space of loops on a Lie group. Zbl 0096.17701
Bott, Raoul
75
1958
An application of the Morse theory to the topology of Lie-groups. Zbl 0073.40001
Bott, Raoul
67
1956
Some remarks on the paper of Callias. Zbl 0409.58019
Bott, Raoul; Seeley, R.
62
1978
On the algebra of networks. Zbl 0050.25104
Bott, Raoul; Duffin, R. J.
55
1953
The index problem for manifolds with boundary. Zbl 0163.34603
Atiyah, Michael F.; Bott, Raoul
48
1964
On characteristic classes of \(\Gamma\)-foliations. Zbl 0262.57010
Bott, Raoul; Haefliger, A.
48
1972
Vector fields and characteristic numbers. Zbl 0145.43801
Bott, Raoul
47
1967
Integral invariants of 3-manifolds. Zbl 0953.57008
Bott, Raoul; Cattaneo, Alberto S.
47
1998
On the zeroes of meromorphic vector-fields. Zbl 0193.52201
Baum, Paul F.; Bott, Raoul
46
1970
On the Pontryagin product in spaces of paths. Zbl 0052.19301
Bott, Raoul; Samelson, H.
46
1953
On the rigidity theorems of Witten. Zbl 0667.57009
Bott, Raoul; Taubes, Clifford
46
1989
A note on the Samelson product in the classical groups. Zbl 0094.01503
Bott, Raoul
41
1960
Lacunas for hyperbolic differential operators with constant coefficients. II. Zbl 0266.35045
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
40
1973
On a theorem of Lefschetz. Zbl 0113.36502
Bott, Raoul
38
1959
On the characteristic classes of groups of diffeomorphisms. Zbl 0367.57004
Bott, Raoul
38
1977
Morse theory indomitable. Zbl 0685.58009
Bott, Raoul
38
1988
A residue formula for holomorphic vector-fields. Zbl 0179.28801
Bott, Raoul
37
1967
On the de Rham theory of certain classifying spaces. Zbl 0342.57016
Bott, Raoul; Shulman, Herbert; Stasheff, James
35
1976
On the Chern-Weil homomorphism and the continuous cohomology of Lie- groups. Zbl 0276.55011
Bott, Raoul
33
1973
A Lefschetz fixed point formula for elliptic differential operators. Zbl 0151.31801
Atiyah, Michael F.; Bott, Raoul
31
1966
Lectures on \(K(X)\). Zbl 0194.23904
Bott, Raoul
30
1969
The index theorem for homogeneous differential operators. Zbl 0173.26001
Bott, Raoul
27
1965
On manifolds all of whose geodesics are closed. Zbl 0058.15604
Bott, Raoul
25
1954
On a topological obstruction to integrability. Zbl 0206.50501
Bott, Raoul
24
1970
On the periodicity theorem for complex vector bundles. Zbl 0131.38201
Atiyah, Michael F.; Bott, Raoul
22
1964
The cohomology ring of \(G/T\). Zbl 0064.25903
Bott, Raoul; Samelson, H.
22
1955
The cohomology of the vector fields on a manifold. Zbl 0387.57012
Bott, Raoul; Segal, G.
19
1977
The stable homotopy of the classical groups. Zbl 0093.03401
Bott, Raoul
19
1957
On torsion in Lie groups. Zbl 0057.02201
Bott, Raoul
17
1954
On some formulas for the characteristic classes of group-actions. (Appendix by Robert Brooks). Zbl 0393.57011
Bott, Raoul
16
1978
Symmetric solutions to majority games. Zbl 0050.14405
Bott, Raoul
15
1953
On the third symmetric potency of \(S_1\). Zbl 0050.17801
Bott, Raoul
14
1953
Lectures on algebraic and differential topology. Zbl 0233.00013
Bott, Raoul; Gitler, S.; James, I. M.
12
1972
Notes on the Lefschetz fixed point theorem for elliptic complexes. Zbl 0161.43101
Atiyah, Michael F.; Bott, Raoul
12
1964
Errata to the paper: On the heat equation and the index theorem. Zbl 0301.58018
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
12
1975
Integral invariants of 3-manifolds. II. Zbl 1036.57500
Bott, Raoul; Cattaneo, Alberto S.
11
1999
Equivariant characteristic classes in the Cartan model. Zbl 1016.53024
Bott, Raoul; Tu, Loring W.
11
2001
Marston Morse and his mathematical works. Zbl 0469.01012
Bott, Raoul
11
1980
Configuration spaces and imbedding invariants. Zbl 0880.57002
Bott, Raoul
10
1996
The periodicity theorem for the classical groups and some of its applications. Zbl 0231.55010
Bott, Raoul
10
1970
Sur les variétés à courbure strictement positive. Zbl 0112.13604
Berger, M.; Bott, Raoul
9
1962
Matrices and trees. Zbl 0057.12402
Bott, Raoul; Mayberry, J. P.
9
1954
A note on the KO-theory of sphere-bundles. Zbl 0115.17301
Bott, Raoul
8
1962
On characteristic classes in the framework of Gelfand-Fuks cohomology. Zbl 0328.57005
Bott, Raoul
8
1976
The geometry and representation theory of compact Lie groups (Notes by G. L. Luke). Zbl 0435.22015
Bott, Raoul
7
1979
Some formulas related to complex transgression. Zbl 0203.54202
Bott, Raoul; Chern, S. S.
7
1970
A remark on the integral cohomology of \(B\Gamma_q\). Zbl 0236.55015
Bott, Raoul; Heitsch, James
7
1972
Surjectivity for Hamiltonian loop group spaces. Zbl 1067.53067
Bott, Raoul; Tolman, Susan; Weitsman, Jonathan
7
2004
On topological obstructions to integrability. Zbl 0225.57010
Bott, Raoul
6
1971
Quelques remarques sur les théorèmes de périodicité. Zbl 0124.38203
Bott, Raoul
6
1959
On the Lefschetz formula and exotic characteristic classes. Zbl 0254.57013
Bott, Raoul
6
1972
On induced representations. Zbl 0657.22020
Bott, Raoul
6
1988
On symmetric products and the Steenrod squares. Zbl 0053.30104
Bott, Raoul
5
1953
An application of the Morse theory to the topology of Lie groups. Zbl 0116.40204
Bott, Raoul
5
1960
Two new combinatorial invariants for polyhedra. Zbl 0047.42003
Bott, Raoul
5
1952
On some recent interactions between mathematics and physics. Zbl 0569.58019
Bott, Raoul
5
1985
Stable bundles revisited. Zbl 0757.32013
Bott, Raoul
4
1991
A report on the unitary group. Zbl 0117.40301
Bott, Raoul
4
1961
An introduction to equivariant cohomology. Zbl 0970.55003
Bott, R.
4
1999
On the shape of a curve. Zbl 0308.55011
Bott, Raoul
4
1975
Yang-Mills and bundles over algebraic curves. Zbl 0499.14005
Atiyah, Michael F.; Bott, Raoul
4
1981
On E. Verlinde’s formula in the context of stable bundles. Zbl 0820.14024
Bott, Raoul
3
1991
Topics in topology and differential geometry. Zbl 0177.26001
Bott, Raoul; Mather, J.
3
1968
Applications of Morse theory to symmetric spaces. Zbl 0101.39701
Bott, Raoul; Samelson, H.
3
1958
On the heat equation and the index theorem. Zbl 0364.58016
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
3
1973
Critical point theory in mathematics and in mathematical physics. Zbl 0889.58021
Bott, Raoul
2
1997
Current developments in mathematics, 1995. Lectures of a seminar, held in Boston, MA, USA, May 7-8, 1995. Zbl 0833.00016
Bott, Raoul
2
1995
The invariants of manifolds. Zbl 0846.57016
Bott, Raoul
2
1995
Woods Hole mathematics. Zbl 1065.00007
2
2004
Lacunas for hyperbolic differential operators with constant coefficients. I. Zbl 0208.13201
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
2
1971
Quelques remarques sur les théoremes de périodicité. Zbl 0108.35903
Bott, Raoul
2
1960
Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections. Zbl 0208.35101
Bott, Raoul; Chern, S. S.
2
1970
Some remarks on continuous cohomology. Zbl 0306.57013
Bott, Raoul
2
1975
Equivariant Morse theory and the Yang-Mills equation on Riemann surfaces. Zbl 0492.58011
Bott, Raoul
2
1980
Lectures on Morse theory, old and new. Zbl 0521.58019
Bott, Raoul
2
1982
Georges de Rham: 1901–1990. Zbl 1194.01069
Bott, Raoul
1
1991
Reflections on the theme of the poster. Zbl 0817.57003
Bott, Raoul
1
1993
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциальные формы в алгебраической топологии.) Zbl 0675.55002
Bott, Raoul; Tu, Loring W.
1
1989
Morse theory and the Yang-Mills equations. Zbl 0486.58009
Bott, Raoul
1
1980
Lars Valerian Ahlfors (1907-1996). Zbl 0908.01015
Bott, Raoul; Earle, Clifford; Hejhal, Dennis; Jenkis, James; Jorgensen, Troels; Krantz, Steven G.; Marden, Albert; Osserman, Robert
1
1998
On the Gelfand-Fuks cohomology. Zbl 0324.57013
Bott, Raoul
1
1975
Surjectivity for Hamiltonian loop group spaces. Zbl 1067.53067
Bott, Raoul; Tolman, Susan; Weitsman, Jonathan
7
2004
Woods Hole mathematics. Zbl 1065.00007
2
2004
Equivariant characteristic classes in the Cartan model. Zbl 1016.53024
Bott, Raoul; Tu, Loring W.
11
2001
Integral invariants of 3-manifolds. II. Zbl 1036.57500
Bott, Raoul; Cattaneo, Alberto S.
11
1999
An introduction to equivariant cohomology. Zbl 0970.55003
Bott, R.
4
1999
Integral invariants of 3-manifolds. Zbl 0953.57008
Bott, Raoul; Cattaneo, Alberto S.
47
1998
Lars Valerian Ahlfors (1907-1996). Zbl 0908.01015
Bott, Raoul; Earle, Clifford; Hejhal, Dennis; Jenkis, James; Jorgensen, Troels; Krantz, Steven G.; Marden, Albert; Osserman, Robert
1
1998
Critical point theory in mathematics and in mathematical physics. Zbl 0889.58021
Bott, Raoul
2
1997
Configuration spaces and imbedding invariants. Zbl 0880.57002
Bott, Raoul
10
1996
Current developments in mathematics, 1995. Lectures of a seminar, held in Boston, MA, USA, May 7-8, 1995. Zbl 0833.00016
Bott, Raoul
2
1995
The invariants of manifolds. Zbl 0846.57016
Bott, Raoul
2
1995
On the self-linking of knots. Zbl 0863.57004
Bott, Raoul; Taubes, Clifford
102
1994
Reflections on the theme of the poster. Zbl 0817.57003
Bott, Raoul
1
1993
Stable bundles revisited. Zbl 0757.32013
Bott, Raoul
4
1991
On E. Verlinde’s formula in the context of stable bundles. Zbl 0820.14024
Bott, Raoul
3
1991
Georges de Rham: 1901–1990. Zbl 1194.01069
Bott, Raoul
1
1991
On the rigidity theorems of Witten. Zbl 0667.57009
Bott, Raoul; Taubes, Clifford
46
1989
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциальные формы в алгебраической топологии.) Zbl 0675.55002
Bott, Raoul; Tu, Loring W.
1
1989
Morse theory indomitable. Zbl 0685.58009
Bott, Raoul
38
1988
On induced representations. Zbl 0657.22020
Bott, Raoul
6
1988
On some recent interactions between mathematics and physics. Zbl 0569.58019
Bott, Raoul
5
1985
The moment map and equivariant cohomology. Zbl 0521.58025
Atiyah, Michael F.; Bott, Raoul
351
1984
The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014
Atiyah, Michael F.; Bott, Raoul
733
1983
Differential forms in algebraic topology. Zbl 0496.55001
Bott, Raoul; Tu, Loring W.
955
1982
Lectures on Morse theory, old and new. Zbl 0505.58001
Bott, Raoul
97
1982
Lectures on Morse theory, old and new. Zbl 0521.58019
Bott, Raoul
2
1982
Yang-Mills and bundles over algebraic curves. Zbl 0499.14005
Atiyah, Michael F.; Bott, Raoul
4
1981
Marston Morse and his mathematical works. Zbl 0469.01012
Bott, Raoul
11
1980
Equivariant Morse theory and the Yang-Mills equation on Riemann surfaces. Zbl 0492.58011
Bott, Raoul
2
1980
Morse theory and the Yang-Mills equations. Zbl 0486.58009
Bott, Raoul
1
1980
An equivariant setting of the Morse theory. Zbl 0481.58015
Bott, Raoul
1
1980
The geometry and representation theory of compact Lie groups (Notes by G. L. Luke). Zbl 0435.22015
Bott, Raoul
7
1979
Some remarks on the paper of Callias. Zbl 0409.58019
Bott, Raoul; Seeley, R.
62
1978
On some formulas for the characteristic classes of group-actions. (Appendix by Robert Brooks). Zbl 0393.57011
Bott, Raoul
16
1978
On the characteristic classes of groups of diffeomorphisms. Zbl 0367.57004
Bott, Raoul
38
1977
The cohomology of the vector fields on a manifold. Zbl 0387.57012
Bott, Raoul; Segal, G.
19
1977
On the de Rham theory of certain classifying spaces. Zbl 0342.57016
Bott, Raoul; Shulman, Herbert; Stasheff, James
35
1976
On characteristic classes in the framework of Gelfand-Fuks cohomology. Zbl 0328.57005
Bott, Raoul
8
1976
Errata to the paper: On the heat equation and the index theorem. Zbl 0301.58018
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
12
1975
On the shape of a curve. Zbl 0308.55011
Bott, Raoul
4
1975
Some remarks on continuous cohomology. Zbl 0306.57013
Bott, Raoul
2
1975
On the Gelfand-Fuks cohomology. Zbl 0324.57013
Bott, Raoul
1
1975
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
214
1973
Lacunas for hyperbolic differential operators with constant coefficients. II. Zbl 0266.35045
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
40
1973
On the Chern-Weil homomorphism and the continuous cohomology of Lie- groups. Zbl 0276.55011
Bott, Raoul
33
1973
On the heat equation and the index theorem. Zbl 0364.58016
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
3
1973
Lectures on characteristic classes and foliations. Notes by Lawrence Conlon. Appendices by J. Stasheff. Zbl 0241.57010
Bott, Raoul
101
1972
Singularities of holomorphic foliations. Zbl 0268.57011
Baum, Paul; Bott, Raoul
90
1972
On characteristic classes of \(\Gamma\)-foliations. Zbl 0262.57010
Bott, Raoul; Haefliger, A.
48
1972
Lectures on algebraic and differential topology. Zbl 0233.00013
Bott, Raoul; Gitler, S.; James, I. M.
12
1972
A remark on the integral cohomology of \(B\Gamma_q\). Zbl 0236.55015
Bott, Raoul; Heitsch, James
7
1972
On the Lefschetz formula and exotic characteristic classes. Zbl 0254.57013
Bott, Raoul
6
1972
On topological obstructions to integrability. Zbl 0225.57010
Bott, Raoul
6
1971
Lacunas for hyperbolic differential operators with constant coefficients. I. Zbl 0208.13201
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
2
1971
Lacunas for hyperbolic differential operators with constant coefficients.I. Zbl 0191.11203
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
91
1970
On the zeroes of meromorphic vector-fields. Zbl 0193.52201
Baum, Paul F.; Bott, Raoul
46
1970
On a topological obstruction to integrability. Zbl 0206.50501
Bott, Raoul
24
1970
The periodicity theorem for the classical groups and some of its applications. Zbl 0231.55010
Bott, Raoul
10
1970
Some formulas related to complex transgression. Zbl 0203.54202
Bott, Raoul; Chern, S. S.
7
1970
Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections. Zbl 0208.35101
Bott, Raoul; Chern, S. S.
2
1970
Lectures on \(K(X)\). Zbl 0194.23904
Bott, Raoul
30
1969
A Lefschetz fixed point formula for elliptic complexes. II: Applications. Zbl 0167.21703
Atiyah, Michael F.; Bott, Raoul
219
1968
Topics in topology and differential geometry. Zbl 0177.26001
Bott, Raoul; Mather, J.
3
1968
A Lefschetz fixed point formula for elliptic complexes. I. Zbl 0161.43201
Atiyah, Michael F.; Bott, Raoul
161
1967
Vector fields and characteristic numbers. Zbl 0145.43801
Bott, Raoul
47
1967
A residue formula for holomorphic vector-fields. Zbl 0179.28801
Bott, Raoul
37
1967
A Lefschetz fixed point formula for elliptic differential operators. Zbl 0151.31801
Atiyah, Michael F.; Bott, Raoul
31
1966
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section. Zbl 0148.31906
Bott, Raoul; Chern, Shiing-shen
128
1965
The index theorem for homogeneous differential operators. Zbl 0173.26001
Bott, Raoul
27
1965
Clifford modules. Zbl 0146.19001
Atiyah, Michael F.; Bott, Raoul; Shapiro, A.
404
1964
The index problem for manifolds with boundary. Zbl 0163.34603
Atiyah, Michael F.; Bott, Raoul
48
1964
On the periodicity theorem for complex vector bundles. Zbl 0131.38201
Atiyah, Michael F.; Bott, Raoul
22
1964
Notes on the Lefschetz fixed point theorem for elliptic complexes. Zbl 0161.43101
Atiyah, Michael F.; Bott, Raoul
12
1964
Sur les variétés à courbure strictement positive. Zbl 0112.13604
Berger, M.; Bott, Raoul
9
1962
A note on the KO-theory of sphere-bundles. Zbl 0115.17301
Bott, Raoul
8
1962
Applications of the theory of Morse to symmetric spaces. Zbl 0101.39702
Bott, Raoul; Samelson, Hans
151
1961
A report on the unitary group. Zbl 0117.40301
Bott, Raoul
4
1961
A note on the Samelson product in the classical groups. Zbl 0094.01503
Bott, Raoul
41
1960
An application of the Morse theory to the topology of Lie groups. Zbl 0116.40204
Bott, Raoul
5
1960
Quelques remarques sur les théoremes de périodicité. Zbl 0108.35903
Bott, Raoul
2
1960
The stable homotopy of the classical groups. Zbl 0129.15601
Bott, Raoul
148
1959
On a theorem of Lefschetz. Zbl 0113.36502
Bott, Raoul
38
1959
Quelques remarques sur les théorèmes de périodicité. Zbl 0124.38203
Bott, Raoul
6
1959
On the parallelizability of the spheres. Zbl 0082.16602
Bott, Raoul; Milnor, John W.
89
1958
The space of loops on a Lie group. Zbl 0096.17701
Bott, Raoul
75
1958
Applications of Morse theory to symmetric spaces. Zbl 0101.39701
Bott, Raoul; Samelson, H.
3
1958
Homogeneous vector bundles. Zbl 0094.35701
Bott, Raoul
306
1957
The stable homotopy of the classical groups. Zbl 0093.03401
Bott, Raoul
19
1957
On the iteration of closed geodesics and the Sturm intersection theory. Zbl 0074.17202
Bott, Raoul
134
1956
An application of the Morse theory to the topology of Lie-groups. Zbl 0073.40001
Bott, Raoul
67
1956
The cohomology ring of \(G/T\). Zbl 0064.25903
Bott, Raoul; Samelson, H.
22
1955
Nondegenerate critical manifolds. Zbl 0058.09101
Bott, Raoul
87
1954
On manifolds all of whose geodesics are closed. Zbl 0058.15604
Bott, Raoul
25
1954
On torsion in Lie groups. Zbl 0057.02201
Bott, Raoul
17
1954
Matrices and trees. Zbl 0057.12402
Bott, Raoul; Mayberry, J. P.
9
1954
On the algebra of networks. Zbl 0050.25104
Bott, Raoul; Duffin, R. J.
55
1953
On the Pontryagin product in spaces of paths. Zbl 0052.19301
Bott, Raoul; Samelson, H.
46
1953
Symmetric solutions to majority games. Zbl 0050.14405
Bott, Raoul
15
1953
On the third symmetric potency of \(S_1\). Zbl 0050.17801
Bott, Raoul
14
1953
On symmetric products and the Steenrod squares. Zbl 0053.30104
Bott, Raoul
5
1953
...and 1 more Documents
all top 5

Cited by 4,924 Authors

38 Biswas, Indranil
33 Bismut, Jean-Michel
23 Atiyah, Michael Francis
23 Mathai, Varghese
21 Kishimoto, Daisuke
21 Kono, Akira
20 Gilkey, Peter B.
19 Theriault, Stephen D.
16 Jeffrey, Lisa Claire
15 Bott, Raoul Harry
15 Freed, Daniel Stuart
15 Long, Yiming
15 Schulze, Bert-Wolfgang
14 Savin, Anton Yur’evich
14 Witten, Edward
13 Cattaneo, Alberto Sergio
13 García-Prada, Oscar
13 Gomi, Kiyonori
13 Nakazato, Hiroshi
13 Sengupta, Ambar N.
12 Chien, Mao-Ting
12 Sati, Hisham
12 Spera, Mauro
12 Suwa, Tatsuo
11 Huebschmann, Johannes
11 Ryan, John
11 Yau, Shing-Tung
10 Carey, Alan L.
10 Corrêa Barros, Maurício Jun.
10 Dessai, Anand Naique
10 Duan, Huagui
10 Kirwan, Frances Clare
10 Lehmann, Daniel
10 Mazzucchelli, Marco
10 Vergne, Michèle
10 Wakabayashi, Seiichiro
10 Wang, Wei
10 Wentworth, Richard A.
10 Zhang, Xi
10 Zinger, Aleksey
9 Angella, Daniele
9 Furutani, Kenro
9 Guillemin, Victor W.
9 Gukov, Sergei
9 Hübsch, Tristan
9 Karoubi, Max
9 Liu, Kefeng
9 Markina, Irina
9 Moore, Gregory Winthrop
9 Rimányi, Richárd
9 Sternin, Boris Yur’evich
9 Szabo, Richard J.
9 Zabzine, Maxim
9 Zhang, Weiping
8 Alekseev, Anton Yur’evich
8 Asuke, Taro
8 Bah, Ibrahima
8 Duan, Haibao
8 Feĭgin, Boris L’vovich
8 Fernández-Pérez, Arturo
8 Frenkel, Edward V.
8 Goertsches, Oliver
8 Herrera, Rafael
8 Hurtubise, Jacques C.
8 Latushkin, Yuri
8 Lawton, Sean
8 Minasian, Ruben
8 Mnëv, Pavel
8 Nekrasov, Nikita Alexandrovich
8 Teleman, Constantin
8 Tsukuda, Shuichi
8 Vaisman, Izu
8 Weinstein, Alan David
8 Wilkin, Graeme
8 Woodward, Christopher T.
8 Xu, Ping
7 Baird, Thomas John
7 Baum, Paul Frank
7 Benameur, Moulay-Tahar
7 Benini, Marco
7 Bonetti, Federico
7 Bouwknegt, Peter G.
7 Boyer, Charles P.
7 Cohen, Frederick Ronald
7 De Nittis, Giuseppe
7 Dieterich, Ernst
7 Fuchs, Dmitry Borisovich
7 Hermann, Robert
7 Hochs, Peter
7 Holm, Tara S.
7 Hopkins, Michael Jerome
7 Kamber, Franz W.
7 Kannan, Senthamarai
7 Kholodenko, Arkady L.
7 Landweber, Gregory D.
7 Li, Ping
7 Liu, Hui
7 Manivel, Laurent
7 Moscovici, Henri
7 Muñoz Velázquez, Vicente
...and 4,824 more Authors
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Cited in 444 Serials

280 Communications in Mathematical Physics
193 Journal of Geometry and Physics
189 Advances in Mathematics
187 Transactions of the American Mathematical Society
148 Mathematische Annalen
140 Journal of High Energy Physics
129 Journal of Mathematical Physics
120 Inventiones Mathematicae
119 Mathematische Zeitschrift
106 Topology and its Applications
95 Proceedings of the American Mathematical Society
87 Nuclear Physics. B
81 Duke Mathematical Journal
74 Annales de l’Institut Fourier
69 Journal of Functional Analysis
63 Differential Geometry and its Applications
62 Journal of Algebra
60 Bulletin of the American Mathematical Society
59 International Journal of Mathematics
51 Geometriae Dedicata
48 Algebraic & Geometric Topology
44 Compositio Mathematica
44 Journal of Pure and Applied Algebra
43 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
42 Geometry & Topology
40 Manuscripta Mathematica
40 Annals of Global Analysis and Geometry
39 Letters in Mathematical Physics
37 Bulletin of the American Mathematical Society. New Series
34 Linear Algebra and its Applications
34 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
33 Mathematical Proceedings of the Cambridge Philosophical Society
33 Tôhoku Mathematical Journal. Second Series
31 Annali di Matematica Pura ed Applicata. Serie Quarta
31 Publications of the Research Institute for Mathematical Sciences, Kyoto University
30 Communications in Algebra
29 Journal of the American Mathematical Society
29 The Journal of Geometric Analysis
28 Journal of Mathematical Sciences (New York)
27 Israel Journal of Mathematics
27 Journal für die Reine und Angewandte Mathematik
26 Advances in Applied Clifford Algebras
25 Reviews in Mathematical Physics
24 Functional Analysis and its Applications
24 Comptes Rendus. Mathématique. Académie des Sciences, Paris
23 Selecta Mathematica. New Series
22 Annales Henri Poincaré
21 Acta Mathematica
21 Publications Mathématiques
21 Journal of Soviet Mathematics
21 Annals of Physics
21 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
20 Reports on Mathematical Physics
20 Proceedings of the Japan Academy. Series A
20 Calculus of Variations and Partial Differential Equations
19 Bulletin de la Société Mathématique de France
18 Nagoya Mathematical Journal
18 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
18 Transformation Groups
18 Journal of Noncommutative Geometry
17 Journal of Differential Equations
17 Acta Mathematica Sinica. English Series
16 Physics Letters. B
16 Geometric and Functional Analysis. GAFA
16 Journal of Knot Theory and its Ramifications
16 Annals of Mathematics. Second Series
16 Science China. Mathematics
15 Theoretical and Mathematical Physics
15 Journal of the Mathematical Society of Japan
15 \(K\)-Theory
15 Expositiones Mathematicae
15 International Journal of Geometric Methods in Modern Physics
15 Journal of Fixed Point Theory and Applications
15 Journal of Topology
14 Archive for Rational Mechanics and Analysis
14 Linear and Multilinear Algebra
14 Indagationes Mathematicae. New Series
13 Journal of Mathematical Analysis and Applications
13 Pacific Journal of Mathematics
13 Journal of Algebraic Geometry
13 Bulletin des Sciences Mathématiques
13 Proceedings of the Japan Academy
13 Journal of Physics A: Mathematical and Theoretical
13 Journal of Topology and Analysis
12 International Journal of Modern Physics A
12 Journal of Differential Geometry
12 Journal of the London Mathematical Society. Second Series
12 Memoirs of the American Mathematical Society
12 Communications in Partial Differential Equations
12 Journal of Homotopy and Related Structures
11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
11 Michigan Mathematical Journal
11 Osaka Journal of Mathematics
11 Chinese Annals of Mathematics. Series B
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Journal of the European Mathematical Society (JEMS)
11 Bulletin of the Brazilian Mathematical Society. New Series
10 Mathematical Notes
10 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
10 Glasgow Mathematical Journal
...and 344 more Serials
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Cited in 62 Fields

1,417 Differential geometry (53-XX)
1,232 Global analysis, analysis on manifolds (58-XX)
1,077 Manifolds and cell complexes (57-XX)
1,043 Algebraic geometry (14-XX)
880 Quantum theory (81-XX)
793 Algebraic topology (55-XX)
630 Several complex variables and analytic spaces (32-XX)
361 Dynamical systems and ergodic theory (37-XX)
292 Topological groups, Lie groups (22-XX)
288 Nonassociative rings and algebras (17-XX)
288 Partial differential equations (35-XX)
210 Group theory and generalizations (20-XX)
207 Relativity and gravitational theory (83-XX)
194 \(K\)-theory (19-XX)
180 Linear and multilinear algebra; matrix theory (15-XX)
158 Functional analysis (46-XX)
116 Number theory (11-XX)
116 Associative rings and algebras (16-XX)
115 Combinatorics (05-XX)
112 Operator theory (47-XX)
108 Category theory; homological algebra (18-XX)
92 Mechanics of particles and systems (70-XX)
85 Functions of a complex variable (30-XX)
74 Convex and discrete geometry (52-XX)
68 General topology (54-XX)
68 Statistical mechanics, structure of matter (82-XX)
63 Commutative algebra (13-XX)
59 Ordinary differential equations (34-XX)
43 Probability theory and stochastic processes (60-XX)
39 Numerical analysis (65-XX)
37 Geometry (51-XX)
32 Calculus of variations and optimal control; optimization (49-XX)
25 Optics, electromagnetic theory (78-XX)
24 Mechanics of deformable solids (74-XX)
22 History and biography (01-XX)
22 Fluid mechanics (76-XX)
21 Abstract harmonic analysis (43-XX)
21 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
19 Operations research, mathematical programming (90-XX)
18 Special functions (33-XX)
16 Computer science (68-XX)
14 Field theory and polynomials (12-XX)
14 Statistics (62-XX)
13 Measure and integration (28-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
13 Information and communication theory, circuits (94-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
11 Potential theory (31-XX)
10 General and overarching topics; collections (00-XX)
10 Systems theory; control (93-XX)
9 Real functions (26-XX)
9 Integral transforms, operational calculus (44-XX)
5 Mathematical logic and foundations (03-XX)
5 Approximations and expansions (41-XX)
4 Difference and functional equations (39-XX)
4 Astronomy and astrophysics (85-XX)
4 Biology and other natural sciences (92-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Sequences, series, summability (40-XX)
2 Integral equations (45-XX)
1 General algebraic systems (08-XX)
1 Geophysics (86-XX)

Citations by Year

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