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Gompf, Robert E.

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Author ID: gompf.robert-e Recent zbMATH articles by "Gompf, Robert E."
Published as: Gompf, Robert E.; Gompf, Robert
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 50 Publications since 1983, including 1 Book

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 1,009 times in 756 Documents Cited by Year
4-manifolds and Kirby calculus. Zbl 0933.57020
Gompf, Robert E.; Stipsicz, András I.
327
1999
A new construction of symplectic manifolds. Zbl 0849.53027
Gompf, Robert E.
151
1995
Handlebody construction of Stein surfaces. Zbl 0919.57012
Gompf, Robert E.
115
1998
Computer calculation of Witten’s 3-manifold invariant. Zbl 0739.53065
Freed, Daniel S.; Gompf, Robert E.
57
1991
Applications of Donaldson’s theorems to classical knot concordance, homology 3-spheres and property P. Zbl 0669.57003
Cochran, Tim D.; Gompf, Robert E.
45
1988
Nuclei of elliptic surfaces. Zbl 0732.57010
Gompf, Robert E.
32
1991
Irreducible 4-manifolds need not be complex. Zbl 0805.57012
Gompf, Robert E.; Mrowka, Tomasz S.
27
1993
Smooth concordance of topologically slice knots. Zbl 0596.57005
Gompf, Robert E.
22
1986
Man and machine thinking about the smooth 4-dimensional Poincaré conjecture. Zbl 1236.57043
Freedman, Michael H.; Gompf, Robert E.; Morrison, Scott; Walker, Kevin
21
2010
An infinite set of exotic \({\mathbb{R}}^ 4\)’s. Zbl 0562.57009
Gompf, Robert E.
18
1985
Toward a topological characterization of symplectic manifolds. Zbl 1084.53072
Gompf, Robert E.
17
2004
Three exotic \(R^ 4\)’s and other anomalies. Zbl 0496.57007
Gompf, Robert E.
16
1983
Killing the Akbulut-Kirby 4-sphere, with relevance to the Andrews-Curtis and Schoenflies problems. Zbl 0715.57016
Gompf, Robert E.
15
1991
More Cappell-Shaneson spheres are standard. Zbl 1244.57061
Gompf, Robert E.
13
2010
An exotic menagerie. Zbl 0808.57012
Gompf, Robert E.
10
1993
Elliptic surfaces and some simple exotic \(\mathbb{R}^ 4\)’s. Zbl 0868.57023
Bižaca, Žarko; Gompf, Robert E.
9
1996
Sums of elliptic surfaces. Zbl 0751.14024
Gompf, Robert E.
9
1991
Symplectically aspherical manifolds with nontrivial \(\pi_2\). Zbl 0943.53049
Gompf, Robert E.
8
1998
The topology of symplectic manifolds. Zbl 0989.53054
Gompf, Robert E.
8
2001
Infinite order corks. Zbl 1420.57058
Gompf, Robert
8
2017
Fibered knots and potential counterexamples to the property 2R and slice-ribbon conjectures. Zbl 1214.57008
Gompf, Robert E.; Scharlemann, Martin; Thompson, Abigail
8
2010
\(\text{Spin}^ c\)-structures and homotopy equivalences. Zbl 0886.57021
Gompf, Robert E.
7
1997
On fundamental groups of quotient spaces. Zbl 1233.54003
Calcut, Jack S.; Gompf, Robert E.; McCarthy, John D.
7
2012
Some well-disguised ribbon knots. Zbl 0844.57004
Gompf, Robert E.; Miyazaki, Katura
6
1995
Stein surfaces as open subsets of \(\mathbb C^2\). Zbl 1118.32011
Gompf, Robert E.
6
2005
Stable diffeomorphism of compact 4-manifolds. Zbl 0589.57017
Gompf, Robert E.
6
1984
Minimal genera of open 4-manifolds. Zbl 1369.57028
Gompf, Robert E.
5
2017
Infinite families of Casson handles and topological disks. Zbl 0534.57007
Gompf, Robert E.
5
1984
Infinite order corks via handle diagrams. Zbl 1380.57024
Gompf, Robert E.
4
2017
Some new symplectic 4-manifolds. Zbl 0863.53025
Gompf, Robert E.
4
1994
On Cappell-Shaneson 4-spheres. Zbl 0783.57016
Gompf, Robert E.
4
1991
Periodic ends and knot concordance. Zbl 0687.57004
Gompf, Robert E.
4
1989
Smooth embeddings with Stein surface images. Zbl 1286.32011
Gompf, Robert E.
3
2013
Symplectic structures from Lefschetz pencils in high dimensions. Zbl 1083.57035
Gompf, Robert E.
2
2004
Orbit spaces of gradient vector fields. Zbl 1286.37019
Calcut, Jack S.; Gompf, Robert E.
2
2013
Quotient manifolds of flows. Zbl 1408.37037
Gompf, Robert E.
1
2017
A moduli space of exotic \({\mathbb{R}}^ 4\)’s. Zbl 0683.57006
Gompf, Robert E.
1
1989
Smooth 4-manifolds and symplectic topology. Zbl 0849.57017
Gompf, Robert E.
1
1995
On Freedman’s reimbedding theorems. Zbl 0575.57006
Gompf, Robert E.; Singh, Sukhjit
1
1984
Locally holomorphic maps yield symplectic structures. Zbl 1085.53078
Gompf, Robert E.
1
2005
Computer tests of Witten’s Chern-Simons theory against the theory of three-manifolds. Zbl 0968.57502
Freed, Daniel S.; Gompf, Robert E.
1
1991
Kirby calculus for Stein surfaces. Zbl 0948.57021
Gompf, Robert E.
1
1998
Group actions, corks and exotic smoothings of \(\mathbb{R}^4\). Zbl 1406.57017
Gompf, Robert E.
1
2018
Group actions, corks and exotic smoothings of \(\mathbb{R}^4\). Zbl 1406.57017
Gompf, Robert E.
1
2018
Infinite order corks. Zbl 1420.57058
Gompf, Robert
8
2017
Minimal genera of open 4-manifolds. Zbl 1369.57028
Gompf, Robert E.
5
2017
Infinite order corks via handle diagrams. Zbl 1380.57024
Gompf, Robert E.
4
2017
Quotient manifolds of flows. Zbl 1408.37037
Gompf, Robert E.
1
2017
Smooth embeddings with Stein surface images. Zbl 1286.32011
Gompf, Robert E.
3
2013
Orbit spaces of gradient vector fields. Zbl 1286.37019
Calcut, Jack S.; Gompf, Robert E.
2
2013
On fundamental groups of quotient spaces. Zbl 1233.54003
Calcut, Jack S.; Gompf, Robert E.; McCarthy, John D.
7
2012
Man and machine thinking about the smooth 4-dimensional Poincaré conjecture. Zbl 1236.57043
Freedman, Michael H.; Gompf, Robert E.; Morrison, Scott; Walker, Kevin
21
2010
More Cappell-Shaneson spheres are standard. Zbl 1244.57061
Gompf, Robert E.
13
2010
Fibered knots and potential counterexamples to the property 2R and slice-ribbon conjectures. Zbl 1214.57008
Gompf, Robert E.; Scharlemann, Martin; Thompson, Abigail
8
2010
Stein surfaces as open subsets of \(\mathbb C^2\). Zbl 1118.32011
Gompf, Robert E.
6
2005
Locally holomorphic maps yield symplectic structures. Zbl 1085.53078
Gompf, Robert E.
1
2005
Toward a topological characterization of symplectic manifolds. Zbl 1084.53072
Gompf, Robert E.
17
2004
Symplectic structures from Lefschetz pencils in high dimensions. Zbl 1083.57035
Gompf, Robert E.
2
2004
The topology of symplectic manifolds. Zbl 0989.53054
Gompf, Robert E.
8
2001
4-manifolds and Kirby calculus. Zbl 0933.57020
Gompf, Robert E.; Stipsicz, András I.
327
1999
Handlebody construction of Stein surfaces. Zbl 0919.57012
Gompf, Robert E.
115
1998
Symplectically aspherical manifolds with nontrivial \(\pi_2\). Zbl 0943.53049
Gompf, Robert E.
8
1998
Kirby calculus for Stein surfaces. Zbl 0948.57021
Gompf, Robert E.
1
1998
\(\text{Spin}^ c\)-structures and homotopy equivalences. Zbl 0886.57021
Gompf, Robert E.
7
1997
Elliptic surfaces and some simple exotic \(\mathbb{R}^ 4\)’s. Zbl 0868.57023
Bižaca, Žarko; Gompf, Robert E.
9
1996
A new construction of symplectic manifolds. Zbl 0849.53027
Gompf, Robert E.
151
1995
Some well-disguised ribbon knots. Zbl 0844.57004
Gompf, Robert E.; Miyazaki, Katura
6
1995
Smooth 4-manifolds and symplectic topology. Zbl 0849.57017
Gompf, Robert E.
1
1995
Some new symplectic 4-manifolds. Zbl 0863.53025
Gompf, Robert E.
4
1994
Irreducible 4-manifolds need not be complex. Zbl 0805.57012
Gompf, Robert E.; Mrowka, Tomasz S.
27
1993
An exotic menagerie. Zbl 0808.57012
Gompf, Robert E.
10
1993
Computer calculation of Witten’s 3-manifold invariant. Zbl 0739.53065
Freed, Daniel S.; Gompf, Robert E.
57
1991
Nuclei of elliptic surfaces. Zbl 0732.57010
Gompf, Robert E.
32
1991
Killing the Akbulut-Kirby 4-sphere, with relevance to the Andrews-Curtis and Schoenflies problems. Zbl 0715.57016
Gompf, Robert E.
15
1991
Sums of elliptic surfaces. Zbl 0751.14024
Gompf, Robert E.
9
1991
On Cappell-Shaneson 4-spheres. Zbl 0783.57016
Gompf, Robert E.
4
1991
Computer tests of Witten’s Chern-Simons theory against the theory of three-manifolds. Zbl 0968.57502
Freed, Daniel S.; Gompf, Robert E.
1
1991
Periodic ends and knot concordance. Zbl 0687.57004
Gompf, Robert E.
4
1989
A moduli space of exotic \({\mathbb{R}}^ 4\)’s. Zbl 0683.57006
Gompf, Robert E.
1
1989
Applications of Donaldson’s theorems to classical knot concordance, homology 3-spheres and property P. Zbl 0669.57003
Cochran, Tim D.; Gompf, Robert E.
45
1988
Smooth concordance of topologically slice knots. Zbl 0596.57005
Gompf, Robert E.
22
1986
An infinite set of exotic \({\mathbb{R}}^ 4\)’s. Zbl 0562.57009
Gompf, Robert E.
18
1985
Stable diffeomorphism of compact 4-manifolds. Zbl 0589.57017
Gompf, Robert E.
6
1984
Infinite families of Casson handles and topological disks. Zbl 0534.57007
Gompf, Robert E.
5
1984
On Freedman’s reimbedding theorems. Zbl 0575.57006
Gompf, Robert E.; Singh, Sukhjit
1
1984
Three exotic \(R^ 4\)’s and other anomalies. Zbl 0496.57007
Gompf, Robert E.
16
1983
all top 5

Cited by 631 Authors

17 Stipsicz, András I.
16 Lisca, Paolo
16 Park, B. Doug
15 Akhmedov, Anar
15 Ozbagci, Burak
12 Gompf, Robert E.
11 Park, Jongil
11 Szabo, Zoltan
10 Geiges, Hansjörg
10 Ruberman, Daniel
9 Akbulut, Selman
9 Hedden, Matthew
8 Calcut, Jack S.
8 Cochran, Thomas (Tim) Daniel
8 Etnyre, John B.
8 Li, Tian-Jun
8 Livingston, Charles
8 Monden, Naoyuki
8 Rozansky, Lev
8 Stoimenow, Alexander
8 Torres, Rafael
7 Baykur, Refik İnanç
7 Ghiggini, Paolo
7 Melvin, Paul M.
7 Muñoz Velázquez, Vicente
7 Ozsváth, Peter Steven
7 Ray, Arunima
7 Tralle, Aleksy E.
7 Yasui, Kouichi
6 Aßelmeyer-Maluga, Torsten
6 Etgü, Tolga
6 Hamilton, Mark J. D.
6 Kamada, Seiichi
6 Tange, Motoo
6 Zinger, Aleksey
5 Auckly, David R.
5 Bazzoni, Giovanni
5 Ding, Fan
5 Endo, Hisaaki
5 Farajzadeh Tehrani, Mohammad
5 Fernández Rodríguez, Marisa
5 Friedl, Stefan
5 Hayano, Kenta
5 Honda, Ko
5 Kim, Hee Jung
5 Kirby, Robion Cromwell
5 Korkmaz, Mustafa
5 Mark, Thomas E.
5 Némethi, András
4 Abe, Tetsuya
4 Borodzik, Maciej
4 Costantino, Francesco
4 Davis, Christopher William
4 Dorfmeister, Josef Gerhard
4 Feehan, Paul M. N.
4 Forstnerič, Franc
4 Freedman, Michael Hartley
4 Gukov, Sergei
4 Hillman, Jonathan Arthur
4 Katzarkov, Ludmil
4 Kȩdra, Jarek
4 Kirk, Paul A.
4 Krol, Jerzy
4 László, Tamás
4 Lecuona, Ana G.
4 Lekili, Yankı
4 Leness, Thomas G.
4 Li, Youlin
4 Matsumoto, Yukio
4 Meier, Jeffrey
4 Oba, Takahiro
4 Plamenevskaya, Olga
4 Powell, Mark
4 Rudyak, Yuli B.
4 Stern, Ronald John
4 Vidussi, Stefano
4 Wu, Weiwei
4 Yun, Ki-Heon
3 Auroux, Denis
3 Catanese, Fabrizio M. E.
3 Cavalcanti, Gil Ramos
3 Cha, Jae Choon
3 Chen, Weimin
3 Cho, Yong Seung
3 Chrisman, Micah Whitney
3 Durst, Sebastian
3 Fintushel, Ronald
3 Gay, David T.
3 Golla, Marco
3 Hamada, Noriyuki
3 Harvey, Shelly L.
3 Hikami, Kazuhiro
3 Horn, Peter D.
3 Kauffman, Louis Hirsch
3 Kegel, Marc
3 Kotschick, Dieter
3 Larson, Kyle
3 Lee, Yongnam
3 Lewark, Lukas
3 Lin, Francesco
...and 531 more Authors
all top 5

Cited in 130 Serials

65 Algebraic & Geometric Topology
61 Geometry & Topology
60 Topology and its Applications
44 Proceedings of the American Mathematical Society
44 Transactions of the American Mathematical Society
34 Journal of Knot Theory and its Ramifications
28 Advances in Mathematics
24 Communications in Mathematical Physics
18 Duke Mathematical Journal
18 Inventiones Mathematicae
17 Mathematische Annalen
15 Michigan Mathematical Journal
15 International Journal of Mathematics
14 Geometriae Dedicata
14 Mathematische Zeitschrift
14 Journal of Topology
11 Journal of Mathematical Physics
10 Journal of Geometry and Physics
8 Osaka Journal of Mathematics
7 Manuscripta Mathematica
7 Communications in Contemporary Mathematics
7 Journal of High Energy Physics
6 Bulletin of the London Mathematical Society
6 Bulletin of the American Mathematical Society. New Series
6 Quantum Topology
5 Israel Journal of Mathematics
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Differential Geometry and its Applications
5 The Journal of Geometric Analysis
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Selecta Mathematica. New Series
5 Journal of Gökova Geometry Topology GGT
4 Rocky Mountain Journal of Mathematics
4 Journal für die Reine und Angewandte Mathematik
4 Annals of Global Analysis and Geometry
4 Forum Mathematicum
4 Journal of the European Mathematical Society (JEMS)
3 International Journal of Modern Physics A
3 Nuclear Physics. B
3 Journal of the London Mathematical Society. Second Series
3 Journal of the Mathematical Society of Japan
3 Pacific Journal of Mathematics
3 Ergodic Theory and Dynamical Systems
3 Acta Mathematica Hungarica
3 L’Enseignement Mathématique. 2e Série
3 Expositiones Mathematicae
3 Revista Matemática Complutense
3 Qualitative Theory of Dynamical Systems
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 General Relativity and Gravitation
2 Letters in Mathematical Physics
2 The Mathematical Intelligencer
2 Acta Mathematica Vietnamica
2 Annales de l’Institut Fourier
2 Archiv der Mathematik
2 Canadian Mathematical Bulletin
2 Compositio Mathematica
2 Glasgow Mathematical Journal
2 Kodai Mathematical Journal
2 Memoirs of the American Mathematical Society
2 Proceedings of the London Mathematical Society. Third Series
2 Siberian Mathematical Journal
2 Tohoku Mathematical Journal. Second Series
2 Annals of Mathematics. Second Series
2 Central European Journal of Mathematics
2 International Journal of Geometric Methods in Modern Physics
2 Journal of Fixed Point Theory and Applications
2 Kyoto Journal of Mathematics
2 Complex Manifolds
2 Winter Braids Lecture Notes
1 Bulletin of the Australian Mathematical Society
1 International Journal of Theoretical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Physics Letters. B
1 Reviews of Modern Physics
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Beiträge zur Algebra und Geometrie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Bulletin de la Société Mathématique de France
1 Commentarii Mathematici Helvetici
1 Czechoslovak Mathematical Journal
1 Hiroshima Mathematical Journal
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Publications Mathématiques
1 Journal of Algebra
1 Journal of Differential Equations
1 Journal of Geometry
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Japan Academy. Series A
1 Rendiconti del Seminario Matematico della Università di Padova
1 Tokyo Journal of Mathematics
1 Advances in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Journal of the American Mathematical Society
1 Publicacions Matemàtiques
1 Annals of Physics
...and 30 more Serials

Citations by Year

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