Raoul Bott | Academic Influence

Why Is Raoul Bott Influential?

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According to Wikipedia, Raoul Bott was a Hungarian-American mathematician known for numerous basic contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem, the Morse–Bott functions which he used in this context, and the Borel–Bott–Weil theorem.

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Raoul Bott's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

Differential forms in algebraic topology (1982) (2992)
The Yang-Mills equations over Riemann surfaces (1983) (2097)
The moment map and equivariant cohomology (1984) (1158)
On the heat equation and the index theorem (1973) (625)
A Lefschetz Fixed Point Formula for Elliptic Complexes: I (1967) (623)
A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications (1968) (437)
Homogeneous Vector Bundles (1957) (413)
Applications of the Theory of Morse to Symmetric Spaces (1958) (403)
Lectures on characteristic classes and foliations (1972) (341)
On the self‐linking of knots (1994) (300)
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections (1965) (291)
THE STABLE HOMOTOPY OF THE CLASSICAL GROUPS. (1957) (286)
An application of the Morse theory to the topology of Lie-groups (1956) (285)
The Stable Homotopy of the Classical Groups (1959) (279)
On the parallelizability of the spheres (1958) (271)
On the iteration of closed geodesics and the sturm intersection theory (1956) (267)
Lectures on Morse theory, old and new (1982) (265)
Lacunas for hyperbolic differential operators with constant coefficients I (1970) (263)
Impedance Synthesis without Use of Transformers (1949) (231)
The space of loops on a Lie group. (1958) (223)
Singularities of holomorphic foliations (1972) (209)
Nondegenerate Critical Manifolds (1954) (160)
On the rigidity theorems of Witten (1989) (160)
Vector fields and characteristic numbers. (1967) (150)
Some remarks on the paper of Callias (1978) (144)
A residue formula for holomorphic vector-fields (1967) (137)
Morse theory indomitable (1988) (129)
The Index Problem for Manifolds with Boundary (1994) (119)
A Celebration of the Mathematical Legacy of Raoul Bott (2010) (117)
On the algebra of networks (1953) (115)
Problems on invariants of knots and 3-manifolds (2004) (113)
On a theorem of Lefschetz. (1959) (110)
On the Pontryagin product in spaces of paths (1953) (109)
On the heat equation and the index theorem (1973) (107)
Integral Invariants of 3-Manifolds (1997) (106)
On the de Rham theory of certain classifying spaces (1976) (100)
On the Chern-Weil homomorphism and the continuous cohomology of Lie-groups (1973) (99)
The Index Theorem for Homogeneous Differential Operators (1965) (93)
On the Zeroes of Meromorphic Vector-Fields (1970) (92)
On the periodicity theorem for complex vector bundles (1964) (88)
A Lefschetz fixed point formula for elliptic differential operators (1966) (81)
Integral invariants of 3-manifolds. II (1998) (76)
Notes on the Lefschetz fixed point theorem for elliptic complexes (1964) (70)
A note on theSamelson product in the classical groups (1960) (69)
THE COHOMOLOGY RING OF G/T. (1955) (66)
On characteristic classes of $\Gamma $-foliations (1972) (64)
Lectures on Algebraic and Differential Topology (1972) (62)
ON TORSION IN LIE GROUPS. (1954) (61)
On the third symmetric potency of S1 (1952) (59)
Lectures on K(X) (1969) (52)
The cohomology of the vector fields on a manifold (1977) (48)
On some formulas for the characteristic classes of group-actions (1978) (47)
Representation Theory of Lie Groups (1980) (41)
On Manifolds All of Whose Geodesics are Closed (1954) (36)
Surjectivity for Hamiltonian loop group spaces (2002) (34)
Marston Morse and his mathematical works (1980) (29)
Lacunas for hyperbolic differential operators with constant coefficients. II (1973) (28)
18. Symmetric Solutions to Majority Games (1953) (28)
The periodicity theorem for the classical groups and some of its applications (1970) (27)
Representation Theory of Lie Groups: The geometry and representation theory of compact Lie groups (1980) (26)
On characteristic classes in the framework of Gel''fand-Fuks cohomology (1976) (26)
A remark on the integral cohomology of BΓq (1972) (26)
On Some Recent Interactions Between Mathematics and Physics (1985) (20)
ON THE IMMERSION PROBLEM FOR REAL PROJECTIVE SPACES (2007) (20)
From Minimal Geodesics to Supersymmetric Field Theories (2010) (19)
Current Developments in Mathematics 1995 (1996) (18)
ON SYMMETRIC PRODUCTS AND THE STEENROD SQUARES (1953) (16)
A note on the $KO$-theory of sphere-bundles (1962) (16)
On Induced Representations (1988) (15)
MICROBIOLOGY OF RECLAIMED WATER FROM SEWAGE FOR RECREATIONAL USE. (1965) (15)
An Introduction to Equivariant Cohomology (1999) (13)
Some Aspects of Invariant Theory in Differential Geometry (2010) (12)
Morse theory and its application to homotopy theory (1960) (12)
Stable bundles revisited (1990) (12)
Yang-Mills and bundles over algebraic curves (1981) (11)
Correction to "Applications of the Theory of Morse to Symmetric Spaces" (1961) (10)
Some Formulas Related to Complex Transgression (1970) (10)
Morse Theoretic Aspects of Yang-Mills Theory (1980) (10)
On E. Verlinde’s Formula in the Context of Stable Bundles (1991) (9)
Topics in Topology and Differential Geometry (1994) (9)
Invariant differential operators and eigenspace representations (1980) (9)
On the shape of a curve (1975) (8)
The Harish-Chandra character (1980) (7)
Gel'fand-Fuks cohomology and foliations : proceedings of the eleventh annual Holiday Symposium at New Mexico State University, December 27-31, 1973 (1975) (7)
ON INVARIANTS OF MANIFOLDS (1996) (6)
Equivariant Morse Theory and the Yang-Mills Equation on Riemann Surfaces· (1980) (6)
Morse theory and the yang-mills equations (1980) (6)
On the Fixed Point Formula and the Rigidity Theorems of Witten Lectures at Cargése 1987 (1988) (5)
An Elementary Theorem in Geometric Invariant Theory (1961) (5)
On Topology and Other Things (1985) (4)
An Equivariant Setting of the Morse Theory (1995) (4)
On the Fixed Point Formula and the Rigidity Theorems of Witten (1987) (3)
Some Recollections from 30 Years Ago (1995) (2)
LARS VALERIAN AHLFORS (1907-1996) (1998) (2)
Integral geometry and representation theory (1980) (1)
The Čech-de Rham Complex (1982) (1)
Equivariant cohomology and equivariant characteristic numbers of a homogeneous space (2001) (1)
On Mathematics and Physics (1995) (1)
Book Review: The geometry and physics of knots (1992) (1)
On Characteristic Classes and Continuous Cohomology (1986) (1)
APPLICATIONS OF AFFINE ROOT SYSTEMS TO THE THEORY OF SYMMETRIC SPACES 1 (2007) (0)
Integral Invariants of 3-manifolds. Ii Integral Invariants of 3-manifolds. Ii Integral Invariants of 3-manifolds. Ii (0)
Integral Invariants of 3-manifolds. Ii Integral Invariants of 3-manifolds. Ii Integral Invariants of 3-manifolds. Ii (0)
Book Reviews (1929) (0)
On Knot and Manifold Invariants (1992) (0)
Ahlfors ( 1907 – 1996 ) (1997) (0)
Differenstial forms in algebraic topology / Raoul Bott, Loring W.Tu (1986) (0)
Marston Morse Selected Papers (1981) (0)
A Fixed Point Theorem for Elliptic Complexes (1994) (0)
Remarks Upon Receiving the Steele Career Prize at the Columbus Meeting of the A.M.S. (1995) (0)
On Some Recent Developments in Yang—Mills Theory (1995) (0)
Design and construction of Big Dee poloidal coils and their support structure (1983) (0)
Book reviews (2001) (0)
Cross‐Connection Control and Backflow Prevention in San Diego, Calif. (1965) (0)
6 F eb 2 00 1 EQUIVARIANT CHARACTERISTIC CLASSES IN THE CARTAN MODEL (0)
ALGEBRAIC TOPOLOGY AT THE STEKLOV MATHEMATICAL INSTITUTE OF THE ACADEMY OF SCIENCES OF THE USSR (2008) (0)
Topology and Lie groups (1994) (0)
The topological constraints on analysis (1989) (0)
AN ELEMENTARY THEOREM IN GEOMETRIC INVARIANT THEORY (2007) (0)
THE SUMMER MEETING IN ANN ARBOR (2007) (0)
Bericht über das Symposium «Solids/liquids separation practice and the influence of new techniques» 1984 (1984) (0)
Variational methods in topology (published in Russian in 1982) based on a course which he taught to undergraduate and graduate students at Moscow State (2010) (0)
Spectral Sequences and Applications (1982) (0)
WASTE WATER RECLAIMED FOR RECREATIONAL USE AT SANTEE, CALIFORNIA. (1965) (0)
THE ANNUAL MEETING OF THE SOCIETY The fifty-eighth Annual Meeting of the American Mathematical (2007) (0)
Equivariant characteristic classes in the Cartan model (2001) (0)
Lectures on algebraic and differential topology, delivered at the II. ELAM (1972) (0)
COMMITTEE ON PROFESSIONAL EDUCATION; REPORT OF THE CHAIRMAN, 1964. (1965) (0)
MICROBIOLOGYOF RECLAIMEDWATER FROM SEWAGE FOR RECREATIONALUSE (1965) (0)
Collected papers. Volume 1, Topology and Lie groups (1994) (0)
Mathematics related to physics (1995) (0)
Dirac operators and K-theory for discrere groups (2008) (0)

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