Raoul Bott

18.8k citations
42 papers · 5.2k indexed · 2 hit papers · h-index 25

Impact in

    • Algebraic Geometry and Number Theory
    • Geometry and complex manifolds
    • Geometric and Algebraic Topology
    • Algebraic structures and combinatorial models
    • Homotopy and Cohomology in Algebraic Topology
    • Advanced Algebra and Geometry

Papers in

    • History and Theory of Mathematics 4
    • Algebraic Geometry and Number Theory 8
    • Geometric and Algebraic Topology 8
    • Geometry and complex manifolds 4
    • Advanced Differential Equations and Dynamical Systems 4

Raoul Bott

41 papers receiving 4.0k citations

Hit Papers

The Yang-Mills equations over Riemann surfaces 1983 · 998 citations
99819822026199620114008001.2k

Peers

Raoul Bott
Comparison fields: 5 of 95
  • Geometry and Topology 3.3k
  • Mathematical Physics 3.0k
  • Algebra and Number Theory 865
  • Discrete Mathematics and Combinatorics 382
  • Applied Mathematics 1.1k
Replace Dennis Sullivan with:
Dennis Sullivan France
Shlomo Sternberg United States
Friedrich Hirzebruch Germany
Norman Steenrod United States
Bertram Kostant United States
Yu. I. Manin Russia
Nolan R. Wallach United States
C. T. C. Wall United Kingdom
S. Sternberg United States
Harish-chandra Harish-Chandra United States
Raoul Bott relative to Dennis Sullivan France Dennis Sullivan's profile →
Citations per field
00.5×1.5×2.0×
Dennis Sullivan · 1×
Citations per year

Countries citing papers authored by Raoul Bott

Since Specialization
Citations

This map shows the geographic impact of Raoul Bott's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Raoul Bott with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Raoul Bott more than expected).

Fields of papers citing papers by Raoul Bott

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Raoul Bott. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Raoul Bott. The network helps show where Raoul Bott may publish in the future.

Co-authorship network

The 15 scholars most cited alongside Raoul Bott, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Raoul Bott Line = papers co-authored together Raoul Bott links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 200410
2
Current Developments in Mathematics, 1996
19976
3 1994114
4 19915
5 198921
6 19856
7
The Yang-Mills equations over Riemann surfaces
Hit paper breakdown →
1983998
8
Gel'fand-Fuks cohomology and foliations : proceedings of the eleventh annual Holiday Symposium at New Mexico State University, December 27-31, 1973
19752
9 19721
10 197214
11 197015
12 196780
13 196773
14 196436
15 19628
16 19617
17
Morse theory and its application to homotopy theory
19605
18 196051
19 195920
20 1956156

About Raoul Bott

Raoul Bott is a scholar working on Theoretical Computer Science, Geometry and Topology, Mathematical Physics, Discrete Mathematics and Combinatorics and Applied Mathematics, having authored 42 papers that have together received 5.2k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (16 papers), Algebraic Geometry and Number Theory (8 papers), Geometric and Algebraic Topology (8 papers), Advanced Algebra and Geometry (7 papers), Geometry and complex manifolds (4 papers), History and Theory of Mathematics (4 papers), Advanced Differential Equations and Dynamical Systems (4 papers) and Geometric Analysis and Curvature Flows (4 papers). The work is most often cited by research in Geometry and Topology (3.3k citations), Mathematical Physics (3.0k citations), Algebra and Number Theory (865 citations), Discrete Mathematics and Combinatorics (382 citations) and Applied Mathematics (1.1k citations). Raoul Bott has collaborated with scholars based in United States, Slovakia and Switzerland. Frequent co-authors include Loring W. Tu, Michael Atiyah, Hans Samelson, Clifford Henry Taubes, Shiing-Shen Chern, Paul Baum, Alberto S. Cattaneo, James L. Heitsch, S.-T. Yau and Various Various. Their work appears in journals such as Annals of Mathematics, Journal of Differential Geometry, The Michigan Mathematical Journal, Bulletin of the American Mathematical Society and American Journal of Mathematics.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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