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Gabai, David

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Author ID: gabai.david Recent zbMATH articles by "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

Publications by Year

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
136
1987
Shrinkwrapping and the taming of hyperbolic 3-manifolds. Zbl 1090.57010
Calegari, Danny; Gabai, David
98
2006
Foliations and the topology of 3-manifolds. Zbl 0533.57013
Gabai, David
97
1983
Convergence groups are Fuchsian groups. Zbl 0785.57004
Gabai, David
90
1992
Foliations and the topology of 3-manifolds. II. Zbl 0627.57012
Gabai, David
78
1987
Essential laminations in 3-manifolds. Zbl 0685.57007
Gabai, David; Oertel, Ulrich
67
1989
Detecting fibred links in \(S^ 3\). Zbl 0621.57003
Gabai, David
53
1986
Surgery on knots in solid tori. Zbl 0678.57004
Gabai, David
52
1989
The Murasugi sum is a natural geometric operation. Zbl 0524.57004
Gabai, David
49
1983
Minimum volume cusped hyperbolic three-manifolds. Zbl 1204.57013
Gabai, David; Meyerhoff, Robert; Milley, Peter
45
2009
Foliations and the topology of 3-manifolds. Zbl 0539.57013
Gabai, David
41
1983
Homotopy hyperbolic 3-manifolds are hyperbolic. Zbl 1052.57019
Gabai, David; Meyerhoff, G. Robert; Thurston, Nathaniel
41
2003
Foliations and genera of links. Zbl 0567.57021
Gabai, David
28
1984
On the geometric and topological rigidity of hyperbolic 3-manifolds. Zbl 0870.57014
Gabai, David
26
1997
1-bridge braids in solid tori. Zbl 0817.57006
Gabai, David
24
1990
Genera of the alternating links. Zbl 0631.57004
Gabai, David
23
1986
Problems in foliations and laminations. Zbl 0888.57025
Gabai, David
22
1997
Genera of the arborescent links. Zbl 0585.57003
Gabai, David
20
1986
Mom technology and volumes of hyperbolic 3-manifolds. Zbl 1207.57023
Gabai, David; Meyerhoff, Robert; Milley, Peter
17
2011
The simple loop conjecture. Zbl 0556.57007
Gabai, David
15
1985
Group negative curvature for 3-manifolds with genuine laminations. Zbl 0905.57011
Gabai, David; Kazez, William H.
15
1998
Almost filling laminations and the connectivity of ending lamination space. Zbl 1165.57015
Gabai, David
12
2009
Foliations and surgery on knots. Zbl 0606.57014
Gabai, David
11
1986
Genus is superadditive under band connected sum. Zbl 0621.57004
Gabai, David
11
1987
The Smale conjecture for hyperbolic 3-manifolds: \(\text{Isom}(M^3)\simeq\text{Diff}(M^3)\). Zbl 1030.57026
Gabai, David
11
2001
Foliations and 3-manifolds. Zbl 0754.57008
Gabai, David
10
1991
The Murasugi sum is a natural geometric operation. II. Zbl 0584.57003
Gabai, David
8
1985
Homotopy hyperbolic 3-manifolds are virtually hyperbolic. Zbl 0801.57009
Gabai, David
8
1994
Quasi-minimal semi-Euclidean laminations in 3-manifolds. Zbl 0964.57015
Gabai, David
8
1998
Convergence groups are Fuchsian groups. Zbl 0733.57022
Gabai, David
8
1991
The classification of maps of surfaces. Zbl 0633.57002
Gabai, David; Kazez, William H.
7
1987
Order trees and laminations of the plane. Zbl 0887.57031
Gabai, David; Kazez, William H.
7
1997
Volumes of tubes in hyperbolic 3-manifolds. Zbl 1029.57014
Gabai, David; Meyerhoff, G. Robert; Milley, Peter
7
2001
3 lectures on foliations and laminations on 3-manifolds. Zbl 0981.57008
Gabai, David
6
2001
Essential laminations and Kneser normal form. Zbl 1028.57012
Gabai, David
6
1999
Taut foliations of \(3\)-manifolds and suspensions of \(S^ 1\). Zbl 0736.57010
Gabai, David
6
1992
Homotopy, isotopy and genuine laminations of 3-manifolds. Zbl 0893.57012
Gabai, David; Kazez, William H.
5
1997
Pseudo-Anosov maps and surgery on fibred 2-bridge knots. Zbl 0714.57004
Gabai, David; Kazez, William H.
5
1990
Mom technology and hyperbolic 3-manifolds. Zbl 1241.57001
Gabai, David; Meyerhoff, Robert; Milley, Peter
5
2010
On the topology of ending lamination space. Zbl 1307.57012
Gabai, David
5
2014
The Whitehead manifold is a union of two Euclidean spaces. Zbl 1238.57025
Gabai, David
4
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.
4
1986
On 3-manifolds finitely covered by surface bundles. Zbl 0624.57011
Gabai, David
3
1986
3-manifolds with essential laminations are covered by solid tori. Zbl 0789.57010
Gabai, David; Kazez, William H.
3
1993
The finiteness of the mapping class group for atoroidal \(3\)-manifolds with genuine laminations. Zbl 0931.57013
Gabai, David; Kazez, William H.
3
1998
Combinatorial volume preserving flows and taut foliations. Zbl 0964.57021
Gabai, David
3
2000
The classification of maps of surfaces. Zbl 0598.57006
Gabai, David; Kazez, William H.
3
1986
On the classification of Heegaard splittings. Zbl 1403.57013
Colding, Tobias Holck; Gabai, David; Ketover, Daniel
3
2018
Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds. Zbl 1403.57012
Colding, Tobias Holck; Gabai, David
2
2018
The classification of maps of nonorientable surfaces. Zbl 0656.57001
Gabai, David; Kazez, William H.
1
1988
Valentin Poénaru’s program for the Poincaré conjecture. Zbl 0866.57010
Gabai, David
1
1995
Covering a nontaming knot by the unlink. Zbl 1158.57024
Freedman, Michael H.; Gabai, David
1
2007
Exceptional hyperbolic 3-manifolds. Zbl 1331.57021
Gabai, David; Trnkova, Maria
1
2015
The 4-dimensional light bulb theorem. Zbl 07225787
Gabai, David
1
2020
The 4-dimensional light bulb theorem. Zbl 07225787
Gabai, David
1
2020
On the classification of Heegaard splittings. Zbl 1403.57013
Colding, Tobias Holck; Gabai, David; Ketover, Daniel
3
2018
Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds. Zbl 1403.57012
Colding, Tobias Holck; Gabai, David
2
2018
Exceptional hyperbolic 3-manifolds. Zbl 1331.57021
Gabai, David; Trnkova, Maria
1
2015
On the topology of ending lamination space. Zbl 1307.57012
Gabai, David
5
2014
Mom technology and volumes of hyperbolic 3-manifolds. Zbl 1207.57023
Gabai, David; Meyerhoff, Robert; Milley, Peter
17
2011
The Whitehead manifold is a union of two Euclidean spaces. Zbl 1238.57025
Gabai, David
4
2011
Mom technology and hyperbolic 3-manifolds. Zbl 1241.57001
Gabai, David; Meyerhoff, Robert; Milley, Peter
5
2010
Minimum volume cusped hyperbolic three-manifolds. Zbl 1204.57013
Gabai, David; Meyerhoff, Robert; Milley, Peter
45
2009
Almost filling laminations and the connectivity of ending lamination space. Zbl 1165.57015
Gabai, David
12
2009
Covering a nontaming knot by the unlink. Zbl 1158.57024
Freedman, Michael H.; Gabai, David
1
2007
Shrinkwrapping and the taming of hyperbolic 3-manifolds. Zbl 1090.57010
Calegari, Danny; Gabai, David
98
2006
Homotopy hyperbolic 3-manifolds are hyperbolic. Zbl 1052.57019
Gabai, David; Meyerhoff, G. Robert; Thurston, Nathaniel
41
2003
The Smale conjecture for hyperbolic 3-manifolds: \(\text{Isom}(M^3)\simeq\text{Diff}(M^3)\). Zbl 1030.57026
Gabai, David
11
2001
Volumes of tubes in hyperbolic 3-manifolds. Zbl 1029.57014
Gabai, David; Meyerhoff, G. Robert; Milley, Peter
7
2001
3 lectures on foliations and laminations on 3-manifolds. Zbl 0981.57008
Gabai, David
6
2001
Combinatorial volume preserving flows and taut foliations. Zbl 0964.57021
Gabai, David
3
2000
Essential laminations and Kneser normal form. Zbl 1028.57012
Gabai, David
6
1999
Group negative curvature for 3-manifolds with genuine laminations. Zbl 0905.57011
Gabai, David; Kazez, William H.
15
1998
Quasi-minimal semi-Euclidean laminations in 3-manifolds. Zbl 0964.57015
Gabai, David
8
1998
The finiteness of the mapping class group for atoroidal \(3\)-manifolds with genuine laminations. Zbl 0931.57013
Gabai, David; Kazez, William H.
3
1998
On the geometric and topological rigidity of hyperbolic 3-manifolds. Zbl 0870.57014
Gabai, David
26
1997
Problems in foliations and laminations. Zbl 0888.57025
Gabai, David
22
1997
Order trees and laminations of the plane. Zbl 0887.57031
Gabai, David; Kazez, William H.
7
1997
Homotopy, isotopy and genuine laminations of 3-manifolds. Zbl 0893.57012
Gabai, David; Kazez, William H.
5
1997
Valentin Poénaru’s program for the Poincaré conjecture. Zbl 0866.57010
Gabai, David
1
1995
Homotopy hyperbolic 3-manifolds are virtually hyperbolic. Zbl 0801.57009
Gabai, David
8
1994
3-manifolds with essential laminations are covered by solid tori. Zbl 0789.57010
Gabai, David; Kazez, William H.
3
1993
Convergence groups are Fuchsian groups. Zbl 0785.57004
Gabai, David
90
1992
Taut foliations of \(3\)-manifolds and suspensions of \(S^ 1\). Zbl 0736.57010
Gabai, David
6
1992
Foliations and 3-manifolds. Zbl 0754.57008
Gabai, David
10
1991
Convergence groups are Fuchsian groups. Zbl 0733.57022
Gabai, David
8
1991
1-bridge braids in solid tori. Zbl 0817.57006
Gabai, David
24
1990
Pseudo-Anosov maps and surgery on fibred 2-bridge knots. Zbl 0714.57004
Gabai, David; Kazez, William H.
5
1990
Essential laminations in 3-manifolds. Zbl 0685.57007
Gabai, David; Oertel, Ulrich
67
1989
Surgery on knots in solid tori. Zbl 0678.57004
Gabai, David
52
1989
The classification of maps of nonorientable surfaces. Zbl 0656.57001
Gabai, David; Kazez, William H.
1
1988
Foliations and the topology of 3-manifolds. III. Zbl 0639.57008
Gabai, David
136
1987
Foliations and the topology of 3-manifolds. II. Zbl 0627.57012
Gabai, David
78
1987
Genus is superadditive under band connected sum. Zbl 0621.57004
Gabai, David
11
1987
The classification of maps of surfaces. Zbl 0633.57002
Gabai, David; Kazez, William H.
7
1987
Detecting fibred links in \(S^ 3\). Zbl 0621.57003
Gabai, David
53
1986
Genera of the alternating links. Zbl 0631.57004
Gabai, David
23
1986
Genera of the arborescent links. Zbl 0585.57003
Gabai, David
20
1986
Foliations and surgery on knots. Zbl 0606.57014
Gabai, David
11
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.
4
1986
On 3-manifolds finitely covered by surface bundles. Zbl 0624.57011
Gabai, David
3
1986
The classification of maps of surfaces. Zbl 0598.57006
Gabai, David; Kazez, William H.
3
1986
The simple loop conjecture. Zbl 0556.57007
Gabai, David
15
1985
The Murasugi sum is a natural geometric operation. II. Zbl 0584.57003
Gabai, David
8
1985
Foliations and genera of links. Zbl 0567.57021
Gabai, David
28
1984
Foliations and the topology of 3-manifolds. Zbl 0533.57013
Gabai, David
97
1983
The Murasugi sum is a natural geometric operation. Zbl 0524.57004
Gabai, David
49
1983
Foliations and the topology of 3-manifolds. Zbl 0539.57013
Gabai, David
41
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
all top 5

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
all top 5

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)

Citations by Year

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