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## Gompf, Robert E.

Compute Distance To:
 Author ID: gompf.robert-e Published as: Gompf, Robert; Gompf, Robert E. External Links: MGP · Wikidata · GND
 Documents Indexed: 50 Publications since 1983, including 1 Book
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#### Co-Authors

 37 single-authored 3 Calcut, Jack S. 2 Freed, Daniel Stuart 1 Bižaca, Žarko 1 Cochran, Thomas (Tim) Daniel 1 Freedman, Michael Hartley 1 McCarthy, John D. 1 Miyazaki, Katura 1 Morrison, Scott 1 Mrowka, Tomasz S. 1 Scharlemann, Martin G. 1 Singh, Sukhjit 1 Stipsicz, András I. 1 Thompson, Abigail A. 1 Walker, Kevin
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#### Serials

 5 Journal of Differential Geometry 5 Topology 5 Topology and its Applications 4 Geometry & Topology 3 Annals of Mathematics. Second Series 3 Algebraic & Geometric Topology 2 Inventiones Mathematicae 2 Turkish Journal of Mathematics 2 The Journal of Symplectic Geometry 1 Communications in Mathematical Physics 1 Mathematische Annalen 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Ergodic Theory and Dynamical Systems 1 Notices of the American Mathematical Society 1 Journal of Knot Theory and its Ramifications 1 Communications in Analysis and Geometry 1 Topology Proceedings 1 Mathematical Research Letters 1 Physical Review Letters 1 Graduate Studies in Mathematics 1 Journal of Topology 1 Quantum Topology
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#### Fields

 48 Manifolds and cell complexes (57-XX) 12 Differential geometry (53-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Algebraic geometry (14-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Group theory and generalizations (20-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 994 times in 739 Documents Cited by Year
4-manifolds and Kirby calculus. Zbl 0933.57020
Gompf, Robert E.; Stipsicz, András I.
1999
A new construction of symplectic manifolds. Zbl 0849.53027
Gompf, Robert E.
1995
Handlebody construction of Stein surfaces. Zbl 0919.57012
Gompf, Robert E.
1998
Computer calculation of Witten’s 3-manifold invariant. Zbl 0739.53065
Freed, Daniel S.; Gompf, Robert E.
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.
1988
Nuclei of elliptic surfaces. Zbl 0732.57010
Gompf, Robert E.
1991
Irreducible 4-manifolds need not be complex. Zbl 0805.57012
Gompf, Robert E.; Mrowka, Tomasz S.
1993
Smooth concordance of topologically slice knots. Zbl 0596.57005
Gompf, Robert E.
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
2010
An infinite set of exotic $${\mathbb{R}}^ 4$$’s. Zbl 0562.57009
Gompf, Robert E.
1985
Toward a topological characterization of symplectic manifolds. Zbl 1084.53072
Gompf, Robert E.
2004
Three exotic $$R^ 4$$’s and other anomalies. Zbl 0496.57007
Gompf, Robert E.
1983
Killing the Akbulut-Kirby 4-sphere, with relevance to the Andrews-Curtis and Schoenflies problems. Zbl 0715.57016
Gompf, Robert E.
1991
More Cappell-Shaneson spheres are standard. Zbl 1244.57061
Gompf, Robert E.
2010
An exotic menagerie. Zbl 0808.57012
Gompf, Robert E.
1993
Elliptic surfaces and some simple exotic $$\mathbb{R}^ 4$$’s. Zbl 0868.57023
Bižaca, Žarko; Gompf, Robert E.
1996
Sums of elliptic surfaces. Zbl 0751.14024
Gompf, Robert E.
1991
Infinite order corks. Zbl 1420.57058
Gompf, Robert
2017
The topology of symplectic manifolds. Zbl 0989.53054
Gompf, Robert E.
2001
Symplectically aspherical manifolds with nontrivial $$\pi_2$$. Zbl 0943.53049
Gompf, Robert E.
1998
$$\text{Spin}^ c$$-structures and homotopy equivalences. Zbl 0886.57021
Gompf, Robert E.
1997
On fundamental groups of quotient spaces. Zbl 1233.54003
Calcut, Jack S.; Gompf, Robert E.; McCarthy, John D.
2012
Fibered knots and potential counterexamples to the property 2R and slice-ribbon conjectures. Zbl 1214.57008
Gompf, Robert E.; Scharlemann, Martin; Thompson, Abigail
2010
Stein surfaces as open subsets of $$\mathbb C^2$$. Zbl 1118.32011
Gompf, Robert E.
2005
Some well-disguised ribbon knots. Zbl 0844.57004
Gompf, Robert E.; Miyazaki, Katura
1995
Stable diffeomorphism of compact 4-manifolds. Zbl 0589.57017
Gompf, Robert E.
1984
Minimal genera of open 4-manifolds. Zbl 1369.57028
Gompf, Robert E.
2017
Infinite families of Casson handles and topological disks. Zbl 0534.57007
Gompf, Robert E.
1984
Some new symplectic 4-manifolds. Zbl 0863.53025
Gompf, Robert E.
1994
On Cappell-Shaneson 4-spheres. Zbl 0783.57016
Gompf, Robert E.
1991
Periodic ends and knot concordance. Zbl 0687.57004
Gompf, Robert E.
1989
Infinite order corks via handle diagrams. Zbl 1380.57024
Gompf, Robert E.
2017
Smooth embeddings with Stein surface images. Zbl 1286.32011
Gompf, Robert E.
2013
Orbit spaces of gradient vector fields. Zbl 1286.37019
Calcut, Jack S.; Gompf, Robert E.
2013
Symplectic structures from Lefschetz pencils in high dimensions. Zbl 1083.57035
Gompf, Robert E.
2004
Group actions, corks and exotic smoothings of $$\mathbb{R}^4$$. Zbl 1406.57017
Gompf, Robert E.
2018
Quotient manifolds of flows. Zbl 1408.37037
Gompf, Robert E.
2017
Locally holomorphic maps yield symplectic structures. Zbl 1085.53078
Gompf, Robert E.
2005
Kirby calculus for Stein surfaces. Zbl 0948.57021
Gompf, Robert E.
1998
Smooth 4-manifolds and symplectic topology. Zbl 0849.57017
Gompf, Robert E.
1995
Computer tests of Witten’s Chern-Simons theory against the theory of three-manifolds. Zbl 0968.57502
Freed, Daniel S.; Gompf, Robert E.
1991
A moduli space of exotic $${\mathbb{R}}^ 4$$’s. Zbl 0683.57006
Gompf, Robert E.
1989
On Freedman’s reimbedding theorems. Zbl 0575.57006
Gompf, Robert E.; Singh, Sukhjit
1984
Group actions, corks and exotic smoothings of $$\mathbb{R}^4$$. Zbl 1406.57017
Gompf, Robert E.
2018
Infinite order corks. Zbl 1420.57058
Gompf, Robert
2017
Minimal genera of open 4-manifolds. Zbl 1369.57028
Gompf, Robert E.
2017
Infinite order corks via handle diagrams. Zbl 1380.57024
Gompf, Robert E.
2017
Quotient manifolds of flows. Zbl 1408.37037
Gompf, Robert E.
2017
Smooth embeddings with Stein surface images. Zbl 1286.32011
Gompf, Robert E.
2013
Orbit spaces of gradient vector fields. Zbl 1286.37019
Calcut, Jack S.; Gompf, Robert E.
2013
On fundamental groups of quotient spaces. Zbl 1233.54003
Calcut, Jack S.; Gompf, Robert E.; McCarthy, John D.
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
2010
More Cappell-Shaneson spheres are standard. Zbl 1244.57061
Gompf, Robert E.
2010
Fibered knots and potential counterexamples to the property 2R and slice-ribbon conjectures. Zbl 1214.57008
Gompf, Robert E.; Scharlemann, Martin; Thompson, Abigail
2010
Stein surfaces as open subsets of $$\mathbb C^2$$. Zbl 1118.32011
Gompf, Robert E.
2005
Locally holomorphic maps yield symplectic structures. Zbl 1085.53078
Gompf, Robert E.
2005
Toward a topological characterization of symplectic manifolds. Zbl 1084.53072
Gompf, Robert E.
2004
Symplectic structures from Lefschetz pencils in high dimensions. Zbl 1083.57035
Gompf, Robert E.
2004
The topology of symplectic manifolds. Zbl 0989.53054
Gompf, Robert E.
2001
4-manifolds and Kirby calculus. Zbl 0933.57020
Gompf, Robert E.; Stipsicz, András I.
1999
Handlebody construction of Stein surfaces. Zbl 0919.57012
Gompf, Robert E.
1998
Symplectically aspherical manifolds with nontrivial $$\pi_2$$. Zbl 0943.53049
Gompf, Robert E.
1998
Kirby calculus for Stein surfaces. Zbl 0948.57021
Gompf, Robert E.
1998
$$\text{Spin}^ c$$-structures and homotopy equivalences. Zbl 0886.57021
Gompf, Robert E.
1997
Elliptic surfaces and some simple exotic $$\mathbb{R}^ 4$$’s. Zbl 0868.57023
Bižaca, Žarko; Gompf, Robert E.
1996
A new construction of symplectic manifolds. Zbl 0849.53027
Gompf, Robert E.
1995
Some well-disguised ribbon knots. Zbl 0844.57004
Gompf, Robert E.; Miyazaki, Katura
1995
Smooth 4-manifolds and symplectic topology. Zbl 0849.57017
Gompf, Robert E.
1995
Some new symplectic 4-manifolds. Zbl 0863.53025
Gompf, Robert E.
1994
Irreducible 4-manifolds need not be complex. Zbl 0805.57012
Gompf, Robert E.; Mrowka, Tomasz S.
1993
An exotic menagerie. Zbl 0808.57012
Gompf, Robert E.
1993
Computer calculation of Witten’s 3-manifold invariant. Zbl 0739.53065
Freed, Daniel S.; Gompf, Robert E.
1991
Nuclei of elliptic surfaces. Zbl 0732.57010
Gompf, Robert E.
1991
Killing the Akbulut-Kirby 4-sphere, with relevance to the Andrews-Curtis and Schoenflies problems. Zbl 0715.57016
Gompf, Robert E.
1991
Sums of elliptic surfaces. Zbl 0751.14024
Gompf, Robert E.
1991
On Cappell-Shaneson 4-spheres. Zbl 0783.57016
Gompf, Robert E.
1991
Computer tests of Witten’s Chern-Simons theory against the theory of three-manifolds. Zbl 0968.57502
Freed, Daniel S.; Gompf, Robert E.
1991
Periodic ends and knot concordance. Zbl 0687.57004
Gompf, Robert E.
1989
A moduli space of exotic $${\mathbb{R}}^ 4$$’s. Zbl 0683.57006
Gompf, Robert E.
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.
1988
Smooth concordance of topologically slice knots. Zbl 0596.57005
Gompf, Robert E.
1986
An infinite set of exotic $${\mathbb{R}}^ 4$$’s. Zbl 0562.57009
Gompf, Robert E.
1985
Stable diffeomorphism of compact 4-manifolds. Zbl 0589.57017
Gompf, Robert E.
1984
Infinite families of Casson handles and topological disks. Zbl 0534.57007
Gompf, Robert E.
1984
On Freedman’s reimbedding theorems. Zbl 0575.57006
Gompf, Robert E.; Singh, Sukhjit
1984
Three exotic $$R^ 4$$’s and other anomalies. Zbl 0496.57007
Gompf, Robert E.
1983
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#### Cited by 631 Authors

 18 Stipsicz, András I. 16 Lisca, Paolo 15 Ozbagci, Burak 15 Park, B. Doug 13 Akhmedov, Anar 12 Gompf, Robert E. 11 Park, Jongil 11 Szabo, Zoltan 10 Geiges, Hansjörg 10 Ruberman, Daniel 9 Akbulut, Selman 8 Calcut, Jack S. 8 Cochran, Thomas (Tim) Daniel 8 Etnyre, John B. 8 Hedden, Matthew 8 Li, Tian-Jun 8 Rozansky, Lev 8 Stoimenow, Alexander 8 Torres, Rafael 7 Baykur, Refik İnanç 7 Ghiggini, Paolo 7 Livingston, Charles 7 Melvin, Paul M. 7 Monden, Naoyuki 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 Kim, Hee Jung 6 Muñoz Velázquez, Vicente 5 Auckly, David R. 5 Bazzoni, Giovanni 5 Ding, Fan 5 Endo, Hisaaki 5 Fernández Rodríguez, Marisa 5 Friedl, Stefan 5 Hayano, Kenta 5 Honda, Ko 5 Korkmaz, Mustafa 5 Mark, Thomas E. 5 Némethi, András 5 Zinger, Aleksey 4 Abe, Tetsuya 4 Borodzik, Maciej 4 Chen, Weimin 4 Costantino, Francesco 4 Davis, Christopher William 4 Dorfmeister, Josef Gerhard 4 Farajzadeh Tehrani, Mohammad 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 Kirby, Robion Cromwell 4 Kirk, Paul A. 4 Krol, Jerzy 4 László, Tamás 4 Lecuona, Ana G. 4 Lekili, Yankı 4 Leness, Thomas G. 4 Matsumoto, Yukio 4 Meier, Jeffrey 4 Oba, Takahiro 4 Plamenevskaya, Olga 4 Rudyak, Yuli B. 4 Stern, Ronald John 4 Tange, Motoo 4 Vidussi, Stefano 4 Wu, Weiwei 4 Yamada, Yuichi 4 Yun, Ki-Heon 3 Auroux, Denis 3 Catanese, Fabrizio M. E. 3 Cavalcanti, Gil Ramos 3 Cha, Jae Choon 3 Cho, Yong Seung 3 Dittrich, Bianca 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 Lee, Yongnam 3 Lewark, Lukas 3 Li, Youlin 3 Lipshitz, Robert 3 Liu, Ximin ...and 531 more Authors
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#### Cited in 124 Serials

 65 Algebraic & Geometric Topology 63 Topology and its Applications 61 Geometry & Topology 44 Proceedings of the American Mathematical Society 44 Transactions of the American Mathematical Society 33 Journal of Knot Theory and its Ramifications 26 Advances in Mathematics 24 Communications in Mathematical Physics 18 Duke Mathematical Journal 17 Inventiones Mathematicae 17 Mathematische Annalen 15 International Journal of Mathematics 14 Mathematische Zeitschrift 14 Journal of Topology 13 Geometriae Dedicata 12 Journal of Mathematical Physics 12 Michigan Mathematical Journal 11 Journal of Geometry and Physics 7 Manuscripta Mathematica 7 Osaka Journal of Mathematics 7 Journal of High Energy Physics 6 Bulletin of the London Mathematical Society 6 Bulletin of the American Mathematical Society. New Series 6 Communications in Contemporary Mathematics 5 Israel Journal of Mathematics 5 Mathematical Proceedings of the Cambridge Philosophical Society 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 5 Quantum Topology 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 Differential Geometry and its Applications 4 Journal of the European Mathematical Society (JEMS) 3 International Journal of Modern Physics A 3 Journal of the London Mathematical Society. Second Series 3 Journal of the Mathematical Society of Japan 3 Pacific Journal of Mathematics 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 Nuclear Physics. B 2 The Mathematical Intelligencer 2 Acta Mathematica Vietnamica 2 Annales de l’Institut Fourier 2 Archiv der Mathematik 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 Ergodic Theory and Dynamical Systems 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 Reviews of Modern Physics 1 Ukrainian Mathematical Journal 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 Canadian Mathematical Bulletin 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 Annals of Physics 1 Elemente der Mathematik 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Chinese Science Bulletin ...and 24 more Serials
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#### Cited in 34 Fields

 604 Manifolds and cell complexes (57-XX) 236 Differential geometry (53-XX) 72 Algebraic geometry (14-XX) 65 Several complex variables and analytic spaces (32-XX) 52 Quantum theory (81-XX) 45 Algebraic topology (55-XX) 44 Global analysis, analysis on manifolds (58-XX) 32 Group theory and generalizations (20-XX) 25 Relativity and gravitational theory (83-XX) 18 Dynamical systems and ergodic theory (37-XX) 13 Nonassociative rings and algebras (17-XX) 11 Category theory; homological algebra (18-XX) 11 General topology (54-XX) 9 Number theory (11-XX) 7 Combinatorics (05-XX) 5 History and biography (01-XX) 4 Associative rings and algebras (16-XX) 4 Mechanics of particles and systems (70-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 $$K$$-theory (19-XX) 3 Functional analysis (46-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX)

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