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## Gabai, David

Compute Distance To:
 Author ID: gabai.david Published as: Gabai, David Homepage: https://www.math.princeton.edu/people/david-gabai External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr
 Documents Indexed: 63 Publications since 1983, including 1 Book Biographic References: 1 Publication
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#### Co-Authors

 38 single-authored 9 Kazez, William H. 5 Milley, Peter 4 Meyerhoff, Robert 2 Calegari, Danny Matthew Cornelius 2 Colding, Tobias Holck 2 Kerckhoff, Steve 2 Meyerhoff, G. Robert 1 Agol, Ian 1 Epstein, David Bernard Alper 1 Farb, Benson 1 Freedman, Michael Hartley 1 Haefliger, André 1 Ketover, Daniel 1 Lei, Tan 1 McMullen, Curtis Tracy 1 Minsky, Yair N. 1 Mosher, Lee 1 Oertel, Ulrich 1 Sullivan, Dennis Parnell 1 Thurston, Nathaniel 1 Thurston, William Paul 1 Trnková, Maria 1 Walsh, Genevieve S. 1 Weeks, Jeff 1 Wood, Carol 1 Yazdi, Mehdi
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#### Serials

 8 Journal of Differential Geometry 5 Journal of the American Mathematical Society 5 Bulletin of the American Mathematical Society. New Series 4 Commentarii Mathematici Helvetici 3 Duke Mathematical Journal 3 Topology 3 Geometry & Topology 3 Annals of Mathematics. Second Series 2 Topology and its Applications 2 Notices of the American Mathematical Society 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Communications in Analysis and Geometry 1 Mathematical Research Letters 1 Algebraic & Geometric Topology 1 Journal of Topology
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#### Fields

 63 Manifolds and cell complexes (57-XX) 6 Group theory and generalizations (20-XX) 6 Functions of a complex variable (30-XX) 6 Geometry (51-XX) 5 Algebraic topology (55-XX) 3 Differential geometry (53-XX) 2 History and biography (01-XX) 1 General and overarching topics; collections (00-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

#### Citations contained in zbMATH Open

54 Publications have been cited 1,216 times in 836 Documents Cited by Year
Foliations and the topology of 3-manifolds. III. Zbl 0639.57008
Gabai, David
1987
Shrinkwrapping and the taming of hyperbolic 3-manifolds. Zbl 1090.57010
Calegari, Danny; Gabai, David
2006
Foliations and the topology of 3-manifolds. Zbl 0533.57013
Gabai, David
1983
Convergence groups are Fuchsian groups. Zbl 0785.57004
Gabai, David
1992
Foliations and the topology of 3-manifolds. II. Zbl 0627.57012
Gabai, David
1987
Essential laminations in 3-manifolds. Zbl 0685.57007
Gabai, David; Oertel, Ulrich
1989
Detecting fibred links in $$S^ 3$$. Zbl 0621.57003
Gabai, David
1986
Surgery on knots in solid tori. Zbl 0678.57004
Gabai, David
1989
The Murasugi sum is a natural geometric operation. Zbl 0524.57004
Gabai, David
1983
Minimum volume cusped hyperbolic three-manifolds. Zbl 1204.57013
Gabai, David; Meyerhoff, Robert; Milley, Peter
2009
Foliations and the topology of 3-manifolds. Zbl 0539.57013
Gabai, David
1983
Homotopy hyperbolic 3-manifolds are hyperbolic. Zbl 1052.57019
Gabai, David; Meyerhoff, G. Robert; Thurston, Nathaniel
2003
Foliations and genera of links. Zbl 0567.57021
Gabai, David
1984
On the geometric and topological rigidity of hyperbolic 3-manifolds. Zbl 0870.57014
Gabai, David
1997
1-bridge braids in solid tori. Zbl 0817.57006
Gabai, David
1990
Genera of the alternating links. Zbl 0631.57004
Gabai, David
1986
Problems in foliations and laminations. Zbl 0888.57025
Gabai, David
1997
Genera of the arborescent links. Zbl 0585.57003
Gabai, David
1986
Mom technology and volumes of hyperbolic 3-manifolds. Zbl 1207.57023
Gabai, David; Meyerhoff, Robert; Milley, Peter
2011
The simple loop conjecture. Zbl 0556.57007
Gabai, David
1985
Group negative curvature for 3-manifolds with genuine laminations. Zbl 0905.57011
Gabai, David; Kazez, William H.
1998
Almost filling laminations and the connectivity of ending lamination space. Zbl 1165.57015
Gabai, David
2009
Foliations and surgery on knots. Zbl 0606.57014
Gabai, David
1986
Genus is superadditive under band connected sum. Zbl 0621.57004
Gabai, David
1987
The Smale conjecture for hyperbolic 3-manifolds: $$\text{Isom}(M^3)\simeq\text{Diff}(M^3)$$. Zbl 1030.57026
Gabai, David
2001
Foliations and 3-manifolds. Zbl 0754.57008
Gabai, David
1991
The Murasugi sum is a natural geometric operation. II. Zbl 0584.57003
Gabai, David
1985
Homotopy hyperbolic 3-manifolds are virtually hyperbolic. Zbl 0801.57009
Gabai, David
1994
Quasi-minimal semi-Euclidean laminations in 3-manifolds. Zbl 0964.57015
Gabai, David
1998
Convergence groups are Fuchsian groups. Zbl 0733.57022
Gabai, David
1991
The classification of maps of surfaces. Zbl 0633.57002
Gabai, David; Kazez, William H.
1987
Order trees and laminations of the plane. Zbl 0887.57031
Gabai, David; Kazez, William H.
1997
Volumes of tubes in hyperbolic 3-manifolds. Zbl 1029.57014
Gabai, David; Meyerhoff, G. Robert; Milley, Peter
2001
3 lectures on foliations and laminations on 3-manifolds. Zbl 0981.57008
Gabai, David
2001
Essential laminations and Kneser normal form. Zbl 1028.57012
Gabai, David
1999
Taut foliations of $$3$$-manifolds and suspensions of $$S^ 1$$. Zbl 0736.57010
Gabai, David
1992
Homotopy, isotopy and genuine laminations of 3-manifolds. Zbl 0893.57012
Gabai, David; Kazez, William H.
1997
Pseudo-Anosov maps and surgery on fibred 2-bridge knots. Zbl 0714.57004
Gabai, David; Kazez, William H.
1990
Mom technology and hyperbolic 3-manifolds. Zbl 1241.57001
Gabai, David; Meyerhoff, Robert; Milley, Peter
2010
On the topology of ending lamination space. Zbl 1307.57012
Gabai, David
2014
The Whitehead manifold is a union of two Euclidean spaces. Zbl 1238.57025
Gabai, David
2011
Two papers: Genera of the arborescent links and A norm for the homology of 3-manifolds. Zbl 1415.57001
Gabai, David; Thurston, William P.
1986
On 3-manifolds finitely covered by surface bundles. Zbl 0624.57011
Gabai, David
1986
3-manifolds with essential laminations are covered by solid tori. Zbl 0789.57010
Gabai, David; Kazez, William H.
1993
The finiteness of the mapping class group for atoroidal $$3$$-manifolds with genuine laminations. Zbl 0931.57013
Gabai, David; Kazez, William H.
1998
Combinatorial volume preserving flows and taut foliations. Zbl 0964.57021
Gabai, David
2000
The classification of maps of surfaces. Zbl 0598.57006
Gabai, David; Kazez, William H.
1986
On the classification of Heegaard splittings. Zbl 1403.57013
Colding, Tobias Holck; Gabai, David; Ketover, Daniel
2018
Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds. Zbl 1403.57012
Colding, Tobias Holck; Gabai, David
2018
The classification of maps of nonorientable surfaces. Zbl 0656.57001
Gabai, David; Kazez, William H.
1988
Valentin Poénaru’s program for the Poincaré conjecture. Zbl 0866.57010
Gabai, David
1995
Covering a nontaming knot by the unlink. Zbl 1158.57024
Freedman, Michael H.; Gabai, David
2007
Exceptional hyperbolic 3-manifolds. Zbl 1331.57021
Gabai, David; Trnkova, Maria
2015
The 4-dimensional light bulb theorem. Zbl 07225787
Gabai, David
2020
The 4-dimensional light bulb theorem. Zbl 07225787
Gabai, David
2020
On the classification of Heegaard splittings. Zbl 1403.57013
Colding, Tobias Holck; Gabai, David; Ketover, Daniel
2018
Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds. Zbl 1403.57012
Colding, Tobias Holck; Gabai, David
2018
Exceptional hyperbolic 3-manifolds. Zbl 1331.57021
Gabai, David; Trnkova, Maria
2015
On the topology of ending lamination space. Zbl 1307.57012
Gabai, David
2014
Mom technology and volumes of hyperbolic 3-manifolds. Zbl 1207.57023
Gabai, David; Meyerhoff, Robert; Milley, Peter
2011
The Whitehead manifold is a union of two Euclidean spaces. Zbl 1238.57025
Gabai, David
2011
Mom technology and hyperbolic 3-manifolds. Zbl 1241.57001
Gabai, David; Meyerhoff, Robert; Milley, Peter
2010
Minimum volume cusped hyperbolic three-manifolds. Zbl 1204.57013
Gabai, David; Meyerhoff, Robert; Milley, Peter
2009
Almost filling laminations and the connectivity of ending lamination space. Zbl 1165.57015
Gabai, David
2009
Covering a nontaming knot by the unlink. Zbl 1158.57024
Freedman, Michael H.; Gabai, David
2007
Shrinkwrapping and the taming of hyperbolic 3-manifolds. Zbl 1090.57010
Calegari, Danny; Gabai, David
2006
Homotopy hyperbolic 3-manifolds are hyperbolic. Zbl 1052.57019
Gabai, David; Meyerhoff, G. Robert; Thurston, Nathaniel
2003
The Smale conjecture for hyperbolic 3-manifolds: $$\text{Isom}(M^3)\simeq\text{Diff}(M^3)$$. Zbl 1030.57026
Gabai, David
2001
Volumes of tubes in hyperbolic 3-manifolds. Zbl 1029.57014
Gabai, David; Meyerhoff, G. Robert; Milley, Peter
2001
3 lectures on foliations and laminations on 3-manifolds. Zbl 0981.57008
Gabai, David
2001
Combinatorial volume preserving flows and taut foliations. Zbl 0964.57021
Gabai, David
2000
Essential laminations and Kneser normal form. Zbl 1028.57012
Gabai, David
1999
Group negative curvature for 3-manifolds with genuine laminations. Zbl 0905.57011
Gabai, David; Kazez, William H.
1998
Quasi-minimal semi-Euclidean laminations in 3-manifolds. Zbl 0964.57015
Gabai, David
1998
The finiteness of the mapping class group for atoroidal $$3$$-manifolds with genuine laminations. Zbl 0931.57013
Gabai, David; Kazez, William H.
1998
On the geometric and topological rigidity of hyperbolic 3-manifolds. Zbl 0870.57014
Gabai, David
1997
Problems in foliations and laminations. Zbl 0888.57025
Gabai, David
1997
Order trees and laminations of the plane. Zbl 0887.57031
Gabai, David; Kazez, William H.
1997
Homotopy, isotopy and genuine laminations of 3-manifolds. Zbl 0893.57012
Gabai, David; Kazez, William H.
1997
Valentin Poénaru’s program for the Poincaré conjecture. Zbl 0866.57010
Gabai, David
1995
Homotopy hyperbolic 3-manifolds are virtually hyperbolic. Zbl 0801.57009
Gabai, David
1994
3-manifolds with essential laminations are covered by solid tori. Zbl 0789.57010
Gabai, David; Kazez, William H.
1993
Convergence groups are Fuchsian groups. Zbl 0785.57004
Gabai, David
1992
Taut foliations of $$3$$-manifolds and suspensions of $$S^ 1$$. Zbl 0736.57010
Gabai, David
1992
Foliations and 3-manifolds. Zbl 0754.57008
Gabai, David
1991
Convergence groups are Fuchsian groups. Zbl 0733.57022
Gabai, David
1991
1-bridge braids in solid tori. Zbl 0817.57006
Gabai, David
1990
Pseudo-Anosov maps and surgery on fibred 2-bridge knots. Zbl 0714.57004
Gabai, David; Kazez, William H.
1990
Essential laminations in 3-manifolds. Zbl 0685.57007
Gabai, David; Oertel, Ulrich
1989
Surgery on knots in solid tori. Zbl 0678.57004
Gabai, David
1989
The classification of maps of nonorientable surfaces. Zbl 0656.57001
Gabai, David; Kazez, William H.
1988
Foliations and the topology of 3-manifolds. III. Zbl 0639.57008
Gabai, David
1987
Foliations and the topology of 3-manifolds. II. Zbl 0627.57012
Gabai, David
1987
Genus is superadditive under band connected sum. Zbl 0621.57004
Gabai, David
1987
The classification of maps of surfaces. Zbl 0633.57002
Gabai, David; Kazez, William H.
1987
Detecting fibred links in $$S^ 3$$. Zbl 0621.57003
Gabai, David
1986
Genera of the alternating links. Zbl 0631.57004
Gabai, David
1986
Genera of the arborescent links. Zbl 0585.57003
Gabai, David
1986
Foliations and surgery on knots. Zbl 0606.57014
Gabai, David
1986
Two papers: Genera of the arborescent links and A norm for the homology of 3-manifolds. Zbl 1415.57001
Gabai, David; Thurston, William P.
1986
On 3-manifolds finitely covered by surface bundles. Zbl 0624.57011
Gabai, David
1986
The classification of maps of surfaces. Zbl 0598.57006
Gabai, David; Kazez, William H.
1986
The simple loop conjecture. Zbl 0556.57007
Gabai, David
1985
The Murasugi sum is a natural geometric operation. II. Zbl 0584.57003
Gabai, David
1985
Foliations and genera of links. Zbl 0567.57021
Gabai, David
1984
Foliations and the topology of 3-manifolds. Zbl 0533.57013
Gabai, David
1983
The Murasugi sum is a natural geometric operation. Zbl 0524.57004
Gabai, David
1983
Foliations and the topology of 3-manifolds. Zbl 0539.57013
Gabai, David
1983
all top 5

#### Cited by 710 Authors

 17 Stoimenow, Alexander 16 Gabai, David 15 Boyer, Steven 14 Ni, Yi 12 Zhang, Xingru 11 Agol, Ian 11 Kazez, William H. 11 Lackenby, Marc 11 Leininger, Christopher J. 10 Calegari, Danny Matthew Cornelius 10 Scharlemann, Martin G. 10 Shalen, Peter B. 9 Baker, Kenneth L. 9 Friedl, Stefan 9 Gordon, Cameron McA. 9 Honda, Ko 9 Juhász, András 9 Li, Tao 9 Minsky, Yair N. 9 Motegi, Kimihiko 9 Taylor, Scott A. 9 Tomova, Maggy 8 Coskunuzer, Baris 8 Dunfield, Nathan M. 8 Fenley, Sérgio R. 8 Ohshika, Ken’ichi 8 Ozawa, Makoto 8 Reid, Alan W. 8 Souto, Juan 8 Teragaito, Masakazu 8 Thompson, Abigail A. 8 Wu, Yingqing 7 Blair, Ryan C. 7 Brock, Jeffrey F. 7 Colin, Vincent 7 Culler, Marc 7 Goda, Hiroshi 7 Martin, Gaven J. 7 Matignon, Daniel 7 Roberts, Rachel 6 Boileau, Michel Charles 6 Hedden, Matthew 6 Ichihara, Kazuhiro 6 Kalfagianni, Efstratia 6 Kim, Inkang 6 Miyazaki, Katura 6 Mj, Mahan 5 Bowditch, Brian H. 5 Canary, Richard D. 5 Deruelle, Arnaud 5 Hidalgo, Rubén Antonio 5 Kim, Dongseok 5 Kleiner, Bruce 5 Luecke, John 5 Markovic, Vladimir 5 Murasugi, Kunio 5 Namazi, Hossein 5 Oertel, Ulrich 5 Rudolph, Lee Norman 5 Saito, Toshio 5 Zupan, Alexander 4 Adams, Colin C. 4 Baader, Sebastian 4 Bachman, David 4 Domergue, Michel 4 Eudave-Muñoz, Mario 4 Futer, David 4 Hatcher, Allen Edward 4 Hayashi, Chuichiro 4 Hillman, Jonathan Arthur 4 Hirasawa, Mikami 4 Jeon, Woojin 4 Kapovich, Michael 4 Lidman, Tye 4 Mark, Thomas E. 4 Ozsváth, Peter Steven 4 Repovš, Dušan D. 4 Ruberman, Daniel 4 Schleimer, Saul 4 Schultens, Jennifer 4 Soma, Teruhiko 4 Song, Hyun-Jong 4 Stein, Melanie I. 4 Szabo, Zoltan 4 Vafaee, Faramarz 4 Van Quach Hongler, Cam 3 Atkinson, Christopher K. 3 Baldwin, John A. 3 Biringer, Ian 3 Brittenham, Mark 3 Bromberg, Kenneth W. 3 Campisi, Marion Moore 3 Cantwell, John C. 3 Cheng, Xiaosheng 3 Conlon, Lawrence 3 Freedman, Michael Hartley 3 Gehring, Frederick William 3 Gompf, Robert E. 3 Gonçalves, Daciberg Lima 3 Ito, Tetsuya ...and 610 more Authors
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#### Cited in 126 Serials

 91 Topology and its Applications 87 Algebraic & Geometric Topology 73 Geometry & Topology 66 Transactions of the American Mathematical Society 56 Journal of Knot Theory and its Ramifications 41 Proceedings of the American Mathematical Society 25 Geometriae Dedicata 22 Mathematische Annalen 21 Inventiones Mathematicae 19 Advances in Mathematics 18 Journal of the American Mathematical Society 12 Mathematical Proceedings of the Cambridge Philosophical Society 12 Duke Mathematical Journal 11 Bulletin of the American Mathematical Society. New Series 11 Groups, Geometry, and Dynamics 11 Journal of Topology 10 Mathematische Zeitschrift 9 Annales de l’Institut Fourier 9 Geometric and Functional Analysis. GAFA 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Annals of Mathematics. Second Series 8 Osaka Journal of Mathematics 7 Conformal Geometry and Dynamics 6 Israel Journal of Mathematics 6 Ergodic Theory and Dynamical Systems 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Compositio Mathematica 5 Tokyo Journal of Mathematics 4 Chaos, Solitons and Fractals 4 Journal of the London Mathematical Society. Second Series 4 Journal of the Mathematical Society of Japan 4 Journal für die Reine und Angewandte Mathematik 4 Expositiones Mathematicae 4 Indagationes Mathematicae. New Series 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Communications in Contemporary Mathematics 4 Winter Braids Lecture Notes 3 Bulletin of the Australian Mathematical Society 3 Bulletin de la Société Mathématique de France 3 Journal of Algebra 3 International Journal of Mathematics 3 The Journal of Geometric Analysis 3 Selecta Mathematica. New Series 3 Journal of the European Mathematical Society (JEMS) 3 Journal of the Australian Mathematical Society 3 Computational Methods and Function Theory 2 Communications in Algebra 2 Mathematics of Computation 2 Acta Mathematica 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics 2 Pacific Journal of Mathematics 2 Acta Mathematica Hungarica 2 Discrete & Computational Geometry 2 International Journal of Algebra and Computation 2 Experimental Mathematics 2 Revista Matemática Complutense 2 Journal of High Energy Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Central European Journal of Mathematics 2 Journal of Topology and Analysis 2 Quantum Topology 2 Science China. Mathematics 2 Korean Journal of Mathematics 1 International Journal of Modern Physics A 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 ACM Transactions on Mathematical Software 1 Acta Mathematica Vietnamica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 BIT 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 Acta Mathematicae Applicatae Sinica. English Series 1 Forum Mathematicum 1 Sugaku Expositions 1 Differential Geometry and its Applications 1 L’Enseignement Mathématique. 2e Série ...and 26 more Serials
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#### Cited in 38 Fields

 747 Manifolds and cell complexes (57-XX) 138 Group theory and generalizations (20-XX) 89 Differential geometry (53-XX) 77 Functions of a complex variable (30-XX) 57 Dynamical systems and ergodic theory (37-XX) 20 Topological groups, Lie groups (22-XX) 19 Several complex variables and analytic spaces (32-XX) 19 Algebraic topology (55-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Combinatorics (05-XX) 14 Geometry (51-XX) 14 General topology (54-XX) 11 Computer science (68-XX) 10 Algebraic geometry (14-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Measure and integration (28-XX) 7 Quantum theory (81-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Convex and discrete geometry (52-XX) 5 Number theory (11-XX) 5 Biology and other natural sciences (92-XX) 4 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 4 Relativity and gravitational theory (83-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 $$K$$-theory (19-XX) 2 Partial differential equations (35-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)

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