# zbMATH — the first resource for mathematics

## Bott, Raoul Harry

Compute Distance To:
 Author ID: bott.raoul-h Published as: Bott, Raoul; Bott, R.; Bott, Raoul H.; Bott, Raoul Harry; Bott, Raul External Links: MGP · Wikidata · dblp · GND · MacTutor Awards: Wolf Prize (2000)
 Documents Indexed: 129 Publications since 1952, including 16 Books Biographic References: 20 Publications
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#### Co-Authors

 74 single-authored 19 Atiyah, Michael Francis 5 Samelson, Hans 4 Gårding, Lars 4 Jaffe, Arthur Michael 4 Singer, Isadore M. 4 Yau, Shing-Tung 3 Chern, Shiing-Shen 3 Jerison, David S. 3 Patodi, Vijay Kumar 3 Taubes, Clifford Henry 3 Tu, Loring W. 2 Baum, Paul Frank 2 Cattaneo, Alberto Sergio 2 Lusztig, George 1 Berger, Marcel 1 Duffin, Richard James 1 Earle, Clifford J. 1 Gitler Hammer, Samuel Carlos 1 Haefliger, André 1 Heitsch, James L. 1 Hejhal, Dennis A. 1 Hildebrandt, Theophil Henry 1 Hopkins, Michael Jerome 1 James, Ioan Mackenzie 1 Jenkis, James 1 Jørgensen, Troels 1 Krantz, Steven George 1 Marden, Albert 1 Mather, John N. 1 Mayberry, John P. 1 Milnor, John Willard 1 Osserman, Robert 1 Peixoto, Mauricio Matos 1 Ritt, Robert K. 1 Rothe, Erich Hans 1 Seeley, Robert Thomas 1 Segal, Graeme B. 1 Shapiro, Arnold S. 1 Shulman, Herbert 1 Stasheff, James D. 1 Stroock, Daniel W. 1 Thom, René 1 Tolman, Susan 1 Weitsman, Jonathan 1 Zeeman, Erik Christopher
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#### Serials

 7 Annals of Mathematics. Second Series 6 Contemporary Mathematicians 5 Topology 4 Acta Mathematica 4 Advances in Mathematics 4 Journal of Differential Geometry 4 Michigan Mathematical Journal 4 Bulletin of the American Mathematical Society 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Inventiones Mathematicae 3 L’Enseignement Mathématique. 2e Série 3 Proceedings of the National Academy of Sciences of the United States of America 2 Bulletin de la Société Mathématique de France 2 Commentarii Mathematici Helvetici 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 2 Turkish Journal of Mathematics 1 International Journal of Modern Physics A 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 American Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Fundamenta Mathematicae 1 Publications Mathématiques 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Portugaliae Mathematica 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 The Asian Journal of Mathematics 1 Colloques Internationaux du Centre National de la Recherche Scientifique 1 Graduate Texts in Mathematics 1 Lecture Notes in Mathematics
all top 5

#### Fields

 42 Manifolds and cell complexes (57-XX) 37 Global analysis, analysis on manifolds (58-XX) 24 Algebraic topology (55-XX) 18 History and biography (01-XX) 14 Differential geometry (53-XX) 12 Quantum theory (81-XX) 9 Algebraic geometry (14-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Partial differential equations (35-XX) 5 General and overarching topics; collections (00-XX) 4 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

97 Publications have been cited 4,796 times in 4,110 Documents Cited by Year
Differential forms in algebraic topology. Zbl 0496.55001
Bott, Raoul; Tu, Loring W.
1982
The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014
Atiyah, Michael F.; Bott, Raoul
1983
Clifford modules. Zbl 0146.19001
Atiyah, Michael F.; Bott, Raoul; Shapiro, A.
1964
The moment map and equivariant cohomology. Zbl 0521.58025
Atiyah, Michael F.; Bott, Raoul
1984
Homogeneous vector bundles. Zbl 0094.35701
Bott, Raoul
1957
A Lefschetz fixed point formula for elliptic complexes. II: Applications. Zbl 0167.21703
Atiyah, Michael F.; Bott, Raoul
1968
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
1973
A Lefschetz fixed point formula for elliptic complexes. I. Zbl 0161.43201
Atiyah, Michael F.; Bott, Raoul
1967
Applications of the theory of Morse to symmetric spaces. Zbl 0101.39702
Bott, Raoul; Samelson, Hans
1961
The stable homotopy of the classical groups. Zbl 0129.15601
Bott, Raoul
1959
On the iteration of closed geodesics and the Sturm intersection theory. Zbl 0074.17202
Bott, Raoul
1956
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section. Zbl 0148.31906
Bott, Raoul; Chern, Shiing-shen
1965
Lectures on Morse theory, old and new. Zbl 0505.58001
Bott, Raoul
1982
On the self-linking of knots. Zbl 0863.57004
Bott, Raoul; Taubes, Clifford
1994
Lacunas for hyperbolic differential operators with constant coefficients.I. Zbl 0191.11203
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
1970
Nondegenerate critical manifolds. Zbl 0058.09101
Bott, Raoul
1954
Singularities of holomorphic foliations. Zbl 0268.57011
Baum, Paul; Bott, Raoul
1972
Lectures on characteristic classes and foliations. Notes by Lawrence Conlon. Appendices by J. Stasheff. Zbl 0241.57010
Bott, Raoul
1972
On the parallelizability of the spheres. Zbl 0082.16602
Bott, Raoul; Milnor, John W.
1958
The space of loops on a Lie group. Zbl 0096.17701
Bott, Raoul
1958
An application of the Morse theory to the topology of Lie-groups. Zbl 0073.40001
Bott, Raoul
1956
Vector fields and characteristic numbers. Zbl 0145.43801
Bott, Raoul
1967
On characteristic classes of $$\Gamma$$-foliations. Zbl 0262.57010
Bott, Raoul; Haefliger, A.
1972
Some remarks on the paper of Callias. Zbl 0409.58019
Bott, Raoul; Seeley, R.
1978
On the rigidity theorems of Witten. Zbl 0667.57009
Bott, Raoul; Taubes, Clifford
1989
On the algebra of networks. Zbl 0050.25104
Bott, Raoul; Duffin, R. J.
1953
A note on the Samelson product in the classical groups. Zbl 0094.01503
Bott, Raoul
1960
On the Pontryagin product in spaces of paths. Zbl 0052.19301
Bott, Raoul; Samelson, H.
1953
A residue formula for holomorphic vector-fields. Zbl 0179.28801
Bott, Raoul
1967
On the characteristic classes of groups of diffeomorphisms. Zbl 0367.57004
Bott, Raoul
1977
On a theorem of Lefschetz. Zbl 0113.36502
Bott, Raoul
1959
Morse theory indomitable. Zbl 0685.58009
Bott, Raoul
1988
On the zeroes of meromorphic vector-fields. Zbl 0193.52201
Baum, Paul F.; Bott, Raoul
1970
On the Chern-Weil homomorphism and the continuous cohomology of Lie- groups. Zbl 0276.55011
Bott, Raoul
1973
On the de Rham theory of certain classifying spaces. Zbl 0342.57016
Bott, Raoul; Shulman, Herbert; Stasheff, James
1976
Lacunas for hyperbolic differential operators with constant coefficients. II. Zbl 0266.35045
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
1973
The index problem for manifolds with boundary. Zbl 0163.34603
Atiyah, Michael F.; Bott, Raoul
1964
Lectures on $$K(X)$$. Zbl 0194.23904
Bott, Raoul
1969
A Lefschetz fixed point formula for elliptic differential operators. Zbl 0151.31801
Atiyah, Michael F.; Bott, Raoul
1966
Integral invariants of 3-manifolds. Zbl 0953.57008
Bott, Raoul; Cattaneo, Alberto S.
1998
On manifolds all of whose geodesics are closed. Zbl 0058.15604
Bott, Raoul
1954
The cohomology ring of $$G/T$$. Zbl 0064.25903
Bott, Raoul; Samelson, H.
1955
On torsion in Lie groups. Zbl 0057.02201
Bott, Raoul
1954
On the periodicity theorem for complex vector bundles. Zbl 0131.38201
Atiyah, Michael F.; Bott, Raoul
1964
The index theorem for homogeneous differential operators. Zbl 0173.26001
Bott, Raoul
1965
The stable homotopy of the classical groups. Zbl 0093.03401
Bott, Raoul
1957
On a topological obstruction to integrability. Zbl 0206.50501
Bott, Raoul
1970
The cohomology of the vector fields on a manifold. Zbl 0387.57012
Bott, Raoul; Segal, G.
1977
Notes on the Lefschetz fixed point theorem for elliptic complexes. Zbl 0161.43101
Atiyah, Michael F.; Bott, Raoul
1964
Symmetric solutions to majority games. Zbl 0050.14405
Bott, Raoul
1953
On the third symmetric potency of $$S_1$$. Zbl 0050.17801
Bott, Raoul
1953
Equivariant characteristic classes in the Cartan model. Zbl 1016.53024
Bott, Raoul; Tu, Loring W.
2001
Sur les variétés à courbure strictement positive. Zbl 0112.13604
Berger, M.; Bott, Raoul
1962
Marston Morse and his mathematical works. Zbl 0469.01012
Bott, Raoul
1980
On characteristic classes in the framework of Gelfand-Fuks cohomology. Zbl 0328.57005
Bott, Raoul
1976
A remark on the integral cohomology of $$B\Gamma_q$$. Zbl 0236.55015
Bott, Raoul; Heitsch, James
1972
Errata to the paper: On the heat equation and the index theorem. Zbl 0301.58018
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
1975
Configuration spaces and imbedding invariants. Zbl 0880.57002
Bott, Raoul
1996
Surjectivity for Hamiltonian loop group spaces. Zbl 1067.53067
Bott, Raoul; Tolman, Susan; Weitsman, Jonathan
2004
Some formulas related to complex transgression. Zbl 0203.54202
Bott, Raoul; Chern, S. S.
1970
The periodicity theorem for the classical groups and some of its applications. Zbl 0231.55010
Bott, Raoul
1970
Lectures on algebraic and differential topology. Zbl 0233.00013
Bott, Raoul; Gitler, S.; James, I. M.
1972
On the Lefschetz formula and exotic characteristic classes. Zbl 0254.57013
Bott, Raoul
1972
Matrices and trees. Zbl 0057.12402
Bott, Raoul; Mayberry, J. P.
1954
A note on the KO-theory of sphere-bundles. Zbl 0115.17301
Bott, Raoul
1962
Integral invariants of 3-manifolds. II. Zbl 1036.57500
Bott, Raoul; Cattaneo, Alberto S.
1999
On some formulas for the characteristic classes of group-actions. (Appendix by Robert Brooks). Zbl 0393.57011
Bott, Raoul
1978
On topological obstructions to integrability. Zbl 0225.57010
Bott, Raoul
1971
On symmetric products and the Steenrod squares. Zbl 0053.30104
Bott, Raoul
1953
Quelques remarques sur les théorèmes de périodicité. Zbl 0124.38203
Bott, Raoul
1959
Stable bundles revisited. Zbl 0757.32013
Bott, Raoul
1991
The geometry and representation theory of compact Lie groups (Notes by G. L. Luke). Zbl 0435.22015
Bott, Raoul
1979
On some recent interactions between mathematics and physics. Zbl 0569.58019
Bott, Raoul
1985
Two new combinatorial invariants for polyhedra. Zbl 0047.42003
Bott, Raoul
1952
An application of the Morse theory to the topology of Lie groups. Zbl 0116.40204
Bott, Raoul
1960
On E. Verlinde’s formula in the context of stable bundles. Zbl 0820.14024
Bott, Raoul
1991
On the shape of a curve. Zbl 0308.55011
Bott, Raoul
1975
Applications of Morse theory to symmetric spaces. Zbl 0101.39701
Bott, Raoul; Samelson, H.
1958
A report on the unitary group. Zbl 0117.40301
Bott, Raoul
1961
Lacunas for hyperbolic differential operators with constant coefficients. I. Zbl 0208.13201
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
1971
Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections. Zbl 0208.35101
Bott, Raoul; Chern, S. S.
1970
Some remarks on continuous cohomology. Zbl 0306.57013
Bott, Raoul
1975
Lectures on Morse theory, old and new. Zbl 0521.58019
Bott, Raoul
1982
Critical point theory in mathematics and in mathematical physics. Zbl 0889.58021
Bott, Raoul
1997
An introduction to equivariant cohomology. Zbl 0970.55003
Bott, R.
1999
Quelques remarques sur les théoremes de périodicité. Zbl 0108.35903
Bott, Raoul
1960
Yang-Mills and bundles over algebraic curves. Zbl 0499.14005
Atiyah, Michael F.; Bott, Raoul
1981
On induced representations. Zbl 0657.22020
Bott, Raoul
1988
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциалъные формы в алгебраической топологии.) Zbl 0675.55002
Bott, Raoul; Tu, Loring W.
1989
On the Gelfand-Fuks cohomology. Zbl 0324.57013
Bott, Raoul
1975
Reflections on the theme of the poster. Zbl 0817.57003
Bott, Raoul
1993
The invariants of manifolds. Zbl 0846.57016
Bott, Raoul
1995
On the heat equation and the index theorem. Zbl 0364.58016
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
1973
Topics in topology and differential geometry. Zbl 0177.26001
Bott, Raoul; Mather, J.
1968
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
1998
An equivariant setting of the Morse theory. Zbl 0481.58015
Bott, Raoul
1980
Morse theory and the Yang-Mills equations. Zbl 0486.58009
Bott, Raoul
1980
Surjectivity for Hamiltonian loop group spaces. Zbl 1067.53067
Bott, Raoul; Tolman, Susan; Weitsman, Jonathan
2004
Equivariant characteristic classes in the Cartan model. Zbl 1016.53024
Bott, Raoul; Tu, Loring W.
2001
Integral invariants of 3-manifolds. II. Zbl 1036.57500
Bott, Raoul; Cattaneo, Alberto S.
1999
An introduction to equivariant cohomology. Zbl 0970.55003
Bott, R.
1999
Integral invariants of 3-manifolds. Zbl 0953.57008
Bott, Raoul; Cattaneo, Alberto S.
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
1998
Critical point theory in mathematics and in mathematical physics. Zbl 0889.58021
Bott, Raoul
1997
Configuration spaces and imbedding invariants. Zbl 0880.57002
Bott, Raoul
1996
The invariants of manifolds. Zbl 0846.57016
Bott, Raoul
1995
On the self-linking of knots. Zbl 0863.57004
Bott, Raoul; Taubes, Clifford
1994
Reflections on the theme of the poster. Zbl 0817.57003
Bott, Raoul
1993
Stable bundles revisited. Zbl 0757.32013
Bott, Raoul
1991
On E. Verlinde’s formula in the context of stable bundles. Zbl 0820.14024
Bott, Raoul
1991
On the rigidity theorems of Witten. Zbl 0667.57009
Bott, Raoul; Taubes, Clifford
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. (Дифференциалъные формы в алгебраической топологии.) Zbl 0675.55002
Bott, Raoul; Tu, Loring W.
1989
Morse theory indomitable. Zbl 0685.58009
Bott, Raoul
1988
On induced representations. Zbl 0657.22020
Bott, Raoul
1988
On some recent interactions between mathematics and physics. Zbl 0569.58019
Bott, Raoul
1985
The moment map and equivariant cohomology. Zbl 0521.58025
Atiyah, Michael F.; Bott, Raoul
1984
The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014
Atiyah, Michael F.; Bott, Raoul
1983
Differential forms in algebraic topology. Zbl 0496.55001
Bott, Raoul; Tu, Loring W.
1982
Lectures on Morse theory, old and new. Zbl 0505.58001
Bott, Raoul
1982
Lectures on Morse theory, old and new. Zbl 0521.58019
Bott, Raoul
1982
Yang-Mills and bundles over algebraic curves. Zbl 0499.14005
Atiyah, Michael F.; Bott, Raoul
1981
Marston Morse and his mathematical works. Zbl 0469.01012
Bott, Raoul
1980
An equivariant setting of the Morse theory. Zbl 0481.58015
Bott, Raoul
1980
Morse theory and the Yang-Mills equations. Zbl 0486.58009
Bott, Raoul
1980
The geometry and representation theory of compact Lie groups (Notes by G. L. Luke). Zbl 0435.22015
Bott, Raoul
1979
Some remarks on the paper of Callias. Zbl 0409.58019
Bott, Raoul; Seeley, R.
1978
On some formulas for the characteristic classes of group-actions. (Appendix by Robert Brooks). Zbl 0393.57011
Bott, Raoul
1978
On the characteristic classes of groups of diffeomorphisms. Zbl 0367.57004
Bott, Raoul
1977
The cohomology of the vector fields on a manifold. Zbl 0387.57012
Bott, Raoul; Segal, G.
1977
On the de Rham theory of certain classifying spaces. Zbl 0342.57016
Bott, Raoul; Shulman, Herbert; Stasheff, James
1976
On characteristic classes in the framework of Gelfand-Fuks cohomology. Zbl 0328.57005
Bott, Raoul
1976
Errata to the paper: On the heat equation and the index theorem. Zbl 0301.58018
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
1975
On the shape of a curve. Zbl 0308.55011
Bott, Raoul
1975
Some remarks on continuous cohomology. Zbl 0306.57013
Bott, Raoul
1975
On the Gelfand-Fuks cohomology. Zbl 0324.57013
Bott, Raoul
1975
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
1973
On the Chern-Weil homomorphism and the continuous cohomology of Lie- groups. Zbl 0276.55011
Bott, Raoul
1973
Lacunas for hyperbolic differential operators with constant coefficients. II. Zbl 0266.35045
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
1973
On the heat equation and the index theorem. Zbl 0364.58016
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
1973
Singularities of holomorphic foliations. Zbl 0268.57011
Baum, Paul; Bott, Raoul
1972
Lectures on characteristic classes and foliations. Notes by Lawrence Conlon. Appendices by J. Stasheff. Zbl 0241.57010
Bott, Raoul
1972
On characteristic classes of $$\Gamma$$-foliations. Zbl 0262.57010
Bott, Raoul; Haefliger, A.
1972
A remark on the integral cohomology of $$B\Gamma_q$$. Zbl 0236.55015
Bott, Raoul; Heitsch, James
1972
Lectures on algebraic and differential topology. Zbl 0233.00013
Bott, Raoul; Gitler, S.; James, I. M.
1972
On the Lefschetz formula and exotic characteristic classes. Zbl 0254.57013
Bott, Raoul
1972
On topological obstructions to integrability. Zbl 0225.57010
Bott, Raoul
1971
Lacunas for hyperbolic differential operators with constant coefficients. I. Zbl 0208.13201
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
1971
Lacunas for hyperbolic differential operators with constant coefficients.I. Zbl 0191.11203
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
1970
On the zeroes of meromorphic vector-fields. Zbl 0193.52201
Baum, Paul F.; Bott, Raoul
1970
On a topological obstruction to integrability. Zbl 0206.50501
Bott, Raoul
1970
Some formulas related to complex transgression. Zbl 0203.54202
Bott, Raoul; Chern, S. S.
1970
The periodicity theorem for the classical groups and some of its applications. Zbl 0231.55010
Bott, Raoul
1970
Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections. Zbl 0208.35101
Bott, Raoul; Chern, S. S.
1970
Lectures on $$K(X)$$. Zbl 0194.23904
Bott, Raoul
1969
A Lefschetz fixed point formula for elliptic complexes. II: Applications. Zbl 0167.21703
Atiyah, Michael F.; Bott, Raoul
1968
Topics in topology and differential geometry. Zbl 0177.26001
Bott, Raoul; Mather, J.
1968
A Lefschetz fixed point formula for elliptic complexes. I. Zbl 0161.43201
Atiyah, Michael F.; Bott, Raoul
1967
Vector fields and characteristic numbers. Zbl 0145.43801
Bott, Raoul
1967
A residue formula for holomorphic vector-fields. Zbl 0179.28801
Bott, Raoul
1967
A Lefschetz fixed point formula for elliptic differential operators. Zbl 0151.31801
Atiyah, Michael F.; Bott, Raoul
1966
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section. Zbl 0148.31906
Bott, Raoul; Chern, Shiing-shen
1965
The index theorem for homogeneous differential operators. Zbl 0173.26001
Bott, Raoul
1965
Clifford modules. Zbl 0146.19001
Atiyah, Michael F.; Bott, Raoul; Shapiro, A.
1964
The index problem for manifolds with boundary. Zbl 0163.34603
Atiyah, Michael F.; Bott, Raoul
1964
On the periodicity theorem for complex vector bundles. Zbl 0131.38201
Atiyah, Michael F.; Bott, Raoul
1964
Notes on the Lefschetz fixed point theorem for elliptic complexes. Zbl 0161.43101
Atiyah, Michael F.; Bott, Raoul
1964
Sur les variétés à courbure strictement positive. Zbl 0112.13604
Berger, M.; Bott, Raoul
1962
A note on the KO-theory of sphere-bundles. Zbl 0115.17301
Bott, Raoul
1962
Applications of the theory of Morse to symmetric spaces. Zbl 0101.39702
Bott, Raoul; Samelson, Hans
1961
A report on the unitary group. Zbl 0117.40301
Bott, Raoul
1961
A note on the Samelson product in the classical groups. Zbl 0094.01503
Bott, Raoul
1960
An application of the Morse theory to the topology of Lie groups. Zbl 0116.40204
Bott, Raoul
1960
Quelques remarques sur les théoremes de périodicité. Zbl 0108.35903
Bott, Raoul
1960
The stable homotopy of the classical groups. Zbl 0129.15601
Bott, Raoul
1959
On a theorem of Lefschetz. Zbl 0113.36502
Bott, Raoul
1959
Quelques remarques sur les théorèmes de périodicité. Zbl 0124.38203
Bott, Raoul
1959
On the parallelizability of the spheres. Zbl 0082.16602
Bott, Raoul; Milnor, John W.
1958
The space of loops on a Lie group. Zbl 0096.17701
Bott, Raoul
1958
Applications of Morse theory to symmetric spaces. Zbl 0101.39701
Bott, Raoul; Samelson, H.
1958
Homogeneous vector bundles. Zbl 0094.35701
Bott, Raoul
1957
The stable homotopy of the classical groups. Zbl 0093.03401
Bott, Raoul
1957
On the iteration of closed geodesics and the Sturm intersection theory. Zbl 0074.17202
Bott, Raoul
1956
An application of the Morse theory to the topology of Lie-groups. Zbl 0073.40001
Bott, Raoul
1956
The cohomology ring of $$G/T$$. Zbl 0064.25903
Bott, Raoul; Samelson, H.
1955
Nondegenerate critical manifolds. Zbl 0058.09101
Bott, Raoul
1954
On manifolds all of whose geodesics are closed. Zbl 0058.15604
Bott, Raoul
1954
On torsion in Lie groups. Zbl 0057.02201
Bott, Raoul
1954
Matrices and trees. Zbl 0057.12402
Bott, Raoul; Mayberry, J. P.
1954
On the algebra of networks. Zbl 0050.25104
Bott, Raoul; Duffin, R. J.
1953
On the Pontryagin product in spaces of paths. Zbl 0052.19301
Bott, Raoul; Samelson, H.
1953
Symmetric solutions to majority games. Zbl 0050.14405
Bott, Raoul
1953
On the third symmetric potency of $$S_1$$. Zbl 0050.17801
Bott, Raoul
1953
On symmetric products and the Steenrod squares. Zbl 0053.30104
Bott, Raoul
1953
Two new combinatorial invariants for polyhedra. Zbl 0047.42003
Bott, Raoul
1952
all top 5

#### Cited by 3,944 Authors

 31 Bismut, Jean-Michel 26 Biswas, Indranil 23 Atiyah, Michael Francis 21 Kono, Akira 18 Mathai, Varghese 17 Gilkey, Peter B. 17 Kishimoto, Daisuke 15 Long, Yiming 15 Theriault, Stephen D. 14 Bott, Raoul Harry 13 Freed, Daniel Stuart 13 García-Prada, Oscar 13 Witten, Edward 12 Sengupta, Ambar N. 11 Jeffrey, Lisa C. 10 Gomi, Kiyonori 10 Huebschmann, Johannes 10 Spera, Mauro 10 Vergne, Michèle 10 Wakabayashi, Seiichiro 10 Yau, Shing-Tung 9 Angella, Daniele 9 Carey, Alan L. 9 Cattaneo, Alberto Sergio 9 Chien, Mao-Ting 9 Dessai, Anand Naique 9 Duan, Huagui 9 Furutani, Kenro 9 Markina, Irina 9 Nakazato, Hiroshi 9 Rimányi, Richárd 9 Schulze, Bert-Wolfgang 9 Wang, Wei 9 Wentworth, Richard A. 9 Zinger, Aleksey 8 Corrêa Barros, Maurício Jun. 8 Duan, Haibao 8 Feĭgin, Boris L’vovich 8 Frenkel, Edward V. 8 Guillemin, Victor W. 8 Herrera, Rafael 8 Liu, Kefeng 8 Mazzucchelli, Marco 8 Moore, Gregory Winthrop 8 Suwa, Tatsuo 8 Tsukuda, Shuichi 8 Wilkin, Graeme 8 Zhang, Weiping 7 Asuke, Taro 7 Baum, Paul Frank 7 Dieterich, Ernst 7 Fuchs, Dmitry Borisovich 7 Gukov, Sergei 7 Hermann, Robert 7 Holm, Tara S. 7 Hübsch, Tristan 7 Kamber, Franz W. 7 Karoubi, Max 7 Kholodenko, Arkady L. 7 Kirwan, Frances Clare 7 Landweber, Gregory D. 7 Latushkin, Yuri 7 Lawton, Sean 7 Manivel, Laurent 7 Moscovici, Henri 7 Muñoz Velázquez, Vicente 7 Sati, Hisham 7 Savin, Anton Yur’evich 7 Singer, Isadore M. 7 Sjamaar, Reyer 7 Soulé, Christophe 7 Sternin, Boris Yur’evich 7 Taubes, Clifford Henry 7 Teleman, Constantin 7 Vaisman, Izu 7 Volić, Ismar 7 Weinstein, Alan David 7 Weitsman, Jonathan 7 Woodward, Christopher T. 7 Wu, Siye 7 Zabzine, Maxim 7 Zhang, Ruibin 7 Zhang, Xi 6 Alekseev, Anton Yu. 6 Bouwknegt, Peter G. 6 Bradlow, Steven B. 6 Brion, Michel 6 Cohen, Frederick Ronald 6 Cotta-Ramusino, Paolo 6 De Nittis, Giuseppe 6 Ferreiro Pérez, Roberto 6 Fried, David 6 Gillet, Henri A. 6 Ginzburg, Viktor L’vovich 6 Goertsches, Oliver 6 Grove, Karsten 6 Hamanaka, Hiroaki 6 Herrera, Haydeé 6 Hurtubise, David E. 6 Karshon, Yael ...and 3,844 more Authors
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#### Cited in 373 Serials

 257 Communications in Mathematical Physics 181 Transactions of the American Mathematical Society 165 Journal of Geometry and Physics 146 Advances in Mathematics 136 Mathematische Annalen 119 Journal of Mathematical Physics 113 Inventiones Mathematicae 103 Mathematische Zeitschrift 95 Topology and its Applications 86 Proceedings of the American Mathematical Society 78 Duke Mathematical Journal 76 Journal of High Energy Physics 66 Annales de l’Institut Fourier 60 Bulletin of the American Mathematical Society 59 Journal of Functional Analysis 55 Differential Geometry and its Applications 53 Journal of Algebra 52 International Journal of Mathematics 48 Nuclear Physics. B 45 Geometriae Dedicata 41 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 38 Algebraic & Geometric Topology 35 Compositio Mathematica 35 Annals of Global Analysis and Geometry 35 Geometry & Topology 34 Journal of Pure and Applied Algebra 34 Manuscripta Mathematica 33 Tohoku Mathematical Journal. Second Series 33 Bulletin of the American Mathematical Society. New Series 31 Mathematical Proceedings of the Cambridge Philosophical Society 31 Publications of the Research Institute for Mathematical Sciences, Kyoto University 30 Letters in Mathematical Physics 30 Linear Algebra and its Applications 28 Journal of the American Mathematical Society 26 Annali di Matematica Pura ed Applicata. Serie Quarta 25 Israel Journal of Mathematics 25 Journal of Mathematical Sciences (New York) 25 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 24 Functional Analysis and its Applications 23 Communications in Algebra 22 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 21 Acta Mathematica 21 Journal of Soviet Mathematics 21 The Journal of Geometric Analysis 21 Comptes Rendus. Mathématique. Académie des Sciences, Paris 20 Publications Mathématiques 20 Proceedings of the Japan Academy. Series A 19 Calculus of Variations and Partial Differential Equations 18 Journal für die Reine und Angewandte Mathematik 18 Nagoya Mathematical Journal 18 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 18 Advances in Applied Clifford Algebras 17 Bulletin de la Société Mathématique de France 16 Journal of Knot Theory and its Ramifications 16 Annals of Mathematics. Second Series 15 Journal of Differential Equations 15 $$K$$-Theory 15 Geometric and Functional Analysis. GAFA 15 Annales Henri Poincaré 14 Theoretical and Mathematical Physics 13 Archive for Rational Mechanics and Analysis 13 Journal of Algebraic Geometry 13 Selecta Mathematica. New Series 13 Transformation Groups 13 Acta Mathematica Sinica. English Series 13 International Journal of Geometric Methods in Modern Physics 13 Proceedings of the Japan Academy 13 Journal of Noncommutative Geometry 13 Science China. Mathematics 12 Reviews in Mathematical Physics 12 Indagationes Mathematicae. New Series 11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 11 Journal of the Mathematical Society of Japan 11 Journal of Topology and Analysis 10 International Journal of Modern Physics A 10 Journal of Mathematical Analysis and Applications 10 Mathematical Notes 10 Physics Letters. B 10 Reports on Mathematical Physics 10 Ergodic Theory and Dynamical Systems 10 Communications in Partial Differential Equations 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Bulletin des Sciences Mathématiques 10 Journal of Homotopy and Related Structures 10 Journal of $$K$$-Theory 9 General Relativity and Gravitation 9 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 9 Archiv der Mathematik 9 Glasgow Mathematical Journal 9 Kodai Mathematical Journal 9 Memoirs of the American Mathematical Society 9 Osaka Journal of Mathematics 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Chinese Annals of Mathematics. Series B 9 Journal of the European Mathematical Society (JEMS) 9 Journal of Fixed Point Theory and Applications 8 International Journal of Theoretical Physics 8 Linear and Multilinear Algebra 8 International Journal of Game Theory 8 Journal of Combinatorial Theory. Series A ...and 273 more Serials
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#### Cited in 60 Fields

 1,160 Differential geometry (53-XX) 1,036 Global analysis, analysis on manifolds (58-XX) 911 Manifolds and cell complexes (57-XX) 808 Algebraic geometry (14-XX) 654 Algebraic topology (55-XX) 641 Quantum theory (81-XX) 507 Several complex variables and analytic spaces (32-XX) 298 Dynamical systems and ergodic theory (37-XX) 238 Topological groups, Lie groups (22-XX) 226 Partial differential equations (35-XX) 223 Nonassociative rings and algebras (17-XX) 163 Group theory and generalizations (20-XX) 153 $$K$$-theory (19-XX) 150 Relativity and gravitational theory (83-XX) 134 Linear and multilinear algebra; matrix theory (15-XX) 125 Functional analysis (46-XX) 91 Operator theory (47-XX) 90 Number theory (11-XX) 84 Associative rings and algebras (16-XX) 83 Combinatorics (05-XX) 81 Category theory; homological algebra (18-XX) 72 Mechanics of particles and systems (70-XX) 71 Functions of a complex variable (30-XX) 59 Convex and discrete geometry (52-XX) 55 General topology (54-XX) 50 Commutative algebra (13-XX) 49 Statistical mechanics, structure of matter (82-XX) 48 Ordinary differential equations (34-XX) 29 Numerical analysis (65-XX) 28 Probability theory and stochastic processes (60-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 23 Geometry (51-XX) 19 Mechanics of deformable solids (74-XX) 19 Optics, electromagnetic theory (78-XX) 18 Fluid mechanics (76-XX) 17 History and biography (01-XX) 16 Abstract harmonic analysis (43-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Special functions (33-XX) 12 Operations research, mathematical programming (90-XX) 11 Computer science (68-XX) 10 Field theory and polynomials (12-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Measure and integration (28-XX) 9 Potential theory (31-XX) 9 Statistics (62-XX) 9 Information and communication theory, circuits (94-XX) 8 Systems theory; control (93-XX) 7 Integral transforms, operational calculus (44-XX) 6 Real functions (26-XX) 4 Mathematical logic and foundations (03-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 Sequences, series, summability (40-XX)

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