Robert E. Gompf

3.8k total citations · 1 hit paper
42 papers, 1.6k citations indexed

About

Robert E. Gompf is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Robert E. Gompf has authored 42 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Geometry and Topology, 35 papers in Mathematical Physics and 9 papers in Computational Theory and Mathematics. Recurrent topics in Robert E. Gompf's work include Geometric and Algebraic Topology (39 papers), Homotopy and Cohomology in Algebraic Topology (31 papers) and Advanced Operator Algebra Research (11 papers). Robert E. Gompf is often cited by papers focused on Geometric and Algebraic Topology (39 papers), Homotopy and Cohomology in Algebraic Topology (31 papers) and Advanced Operator Algebra Research (11 papers). Robert E. Gompf collaborates with scholars based in United States and Hungary. Robert E. Gompf's co-authors include András I. Stipsicz, Daniel S. Freed, Tim D. Cochran, Tomasz Mrowka, Scott Morrison, Michael Freedman, Kevin Walker, Abigail Thompson, Martin Scharlemann and John D. McCarthy and has published in prestigious journals such as Physical Review Letters, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Robert E. Gompf

38 papers receiving 1.4k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

4-Manifolds and Kirby Calculus

1999 584 citations Robert E. Gompf, András I. Stipsicz Graduate studies in mathematics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Robert E. Gompf United States	16	1.5k	1.2k	365	231	185	42	1.6k
Tomasz Mrowka United States	20	1.4k 0.9×	1.2k 1.0×	266 0.7×	221 1.0×	165 0.9×	31	1.5k
András I. Stipsicz Hungary	17	1.2k 0.8×	916 0.8×	365 1.0×	193 0.8×	156 0.8×	67	1.3k
Ronald Fintushel United States	19	1.1k 0.7×	876 0.7×	137 0.4×	228 1.0×	100 0.5×	46	1.2k
Peter Scott United States	14	1.5k 1.0×	1.0k 0.9×	321 0.9×	523 2.3×	241 1.3×	33	1.6k
Carlo Petronio Italy	14	709 0.5×	525 0.4×	259 0.7×	205 0.9×	139 0.8×	50	868
Selman Akbulut United States	18	887 0.6×	666 0.6×	222 0.6×	134 0.6×	149 0.8×	73	969
Vladimir Turaev France	17	773 0.5×	677 0.6×	217 0.6×	47 0.2×	137 0.7×	48	878
Paul Kirk United States	13	522 0.3×	501 0.4×	130 0.4×	85 0.4×	98 0.5×	43	631
Dan Margalit United States	12	779 0.5×	626 0.5×	177 0.5×	84 0.4×	149 0.8×	36	851
Ib Madsen Denmark	19	1.1k 0.7×	1.1k 1.0×	70 0.2×	80 0.3×	131 0.7×	57	1.3k

Countries citing papers authored by Robert E. Gompf

Since Specialization

Citations

This map shows the geographic impact of Robert E. Gompf'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 Robert E. Gompf with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Robert E. Gompf more than expected).

Fields of papers citing papers by Robert E. Gompf

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Robert E. Gompf. 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 Robert E. Gompf. The network helps show where Robert E. Gompf may publish in the future.

Co-authorship network of co-authors of Robert E. Gompf

This figure shows the co-authorship network connecting the top 25 collaborators of Robert E. Gompf. A scholar is included among the top collaborators of Robert E. Gompf based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Robert E. Gompf. Robert E. Gompf is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

1.

Gompf, Robert E.. (2023). Creating Stein surfaces by topological isotopy. Journal of Differential Geometry. 125(1).

2.

Gompf, Robert E.. (2022). Topological convexity in complex surfaces. Asian Journal of Mathematics. 26(5). 709–736. 1 indexed citations

3.

Gompf, Robert E.. (2010). More Cappell–Shaneson spheres are standard. Algebraic & Geometric Topology. 10(3). 1665–1681. 15 indexed citations

4.

Gompf, Robert E., Martin Scharlemann, & Abigail Thompson. (2010). Fibered knots and potential counterexamples to the Property 2R and Slice-Ribbon Conjectures. Geometry & Topology. 14(4). 2305–2347. 11 indexed citations

5.

Gompf, Robert E.. (2004). Symplectic structures from Lefschetz pencils in high dimensions. Geometry and topology monographs. 267–290. 4 indexed citations

6.

Gompf, Robert E.. (2002). A topological characterization of symplectic manifolds. arXiv (Cornell University). 3 indexed citations

7.

Gompf, Robert E.. (2001). The topology of symplectic manifolds. TURKISH JOURNAL OF MATHEMATICS. 25(1). 43–60. 15 indexed citations

8.

Gompf, Robert E. & András I. Stipsicz. (1999). 4-Manifolds and Kirby Calculus. Graduate studies in mathematics. 584 indexed citations breakdown →

9.

Gompf, Robert E.. (1997). Spin^c–structures and homotopy equivalences. Geometry & Topology. 1(1). 41–50. 7 indexed citations

10.

Gompf, Robert E., et al.. (1996). Elliptic surfaces and some simple exotic ${\bf R}\sp 4$'s. Journal of Differential Geometry. 43(3). 13 indexed citations

11.

Gompf, Robert E.. (1991). Nuclei of elliptic surfaces. Topology. 30(3). 479–511. 52 indexed citations

12.

Gompf, Robert E.. (1991). Killing the Akbulut-Kirby 4-sphere, with relevance to the Andrews-Curtis and Schoenflies problems. Topology. 30(1). 97–115. 23 indexed citations

13.

Gompf, Robert E.. (1991). Sums of elliptic surfaces. Journal of Differential Geometry. 34(1). 15 indexed citations

14.

Freed, Daniel S. & Robert E. Gompf. (1991). Computer calculation of Witten's 3-manifold invariant. Communications in Mathematical Physics. 141(1). 79–117. 87 indexed citations

15.

Gompf, Robert E.. (1991). On Cappell-Shaneson 4-spheres. Topology and its Applications. 38(2). 123–136. 6 indexed citations

16.

Gompf, Robert E.. (1989). Periodic ends and knot concordance. Topology and its Applications. 32(2). 141–148. 4 indexed citations

17.

Gompf, Robert E.. (1986). Smooth concordance of topologically slice knots. Topology. 25(3). 353–373. 25 indexed citations

18.

Gompf, Robert E.. (1985). An infinite set of exotic $\mathbf{R}^4$'s. Journal of Differential Geometry. 21(2). 30 indexed citations

19.

Gompf, Robert E.. (1984). Infinite families of casson handles and topological disks. Topology. 23(4). 395–400. 11 indexed citations

20.

Gompf, Robert E.. (1983). Three exotic $\mathbf{R}^4$'s and other anomalies. Journal of Differential Geometry. 18(2). 38 indexed citations

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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