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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
Awards: Clay Research Award (2009)
Documents Indexed: 65 Publications since 1983, including 1 Book
7 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 18 Co-Authors with 33 Joint Publications
243 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

59 Publications have been cited 1,393 times in 950 Documents Cited by Year
Foliations and the topology of 3-manifolds. III. Zbl 0639.57008
Gabai, David
145
1987
Foliations and the topology of 3-manifolds. Zbl 0533.57013
Gabai, David
125
1983
Shrinkwrapping and the taming of hyperbolic 3-manifolds. Zbl 1090.57010
Calegari, Danny; Gabai, David
112
2006
Convergence groups are Fuchsian groups. Zbl 0785.57004
Gabai, David
98
1992
Foliations and the topology of 3-manifolds. II. Zbl 0627.57012
Gabai, David
87
1987
Essential laminations in 3-manifolds. Zbl 0685.57007
Gabai, David; Oertel, Ulrich
77
1989
Detecting fibred links in \(S^ 3\). Zbl 0621.57003
Gabai, David
59
1986
The Murasugi sum is a natural geometric operation. Zbl 0524.57004
Gabai, David
57
1983
Minimum volume cusped hyperbolic three-manifolds. Zbl 1204.57013
Gabai, David; Meyerhoff, Robert; Milley, Peter
57
2009
Surgery on knots in solid tori. Zbl 0678.57004
Gabai, David
55
1989
Homotopy hyperbolic 3-manifolds are hyperbolic. Zbl 1052.57019
Gabai, David; Meyerhoff, G. Robert; Thurston, Nathaniel
47
2003
Foliations and the topology of 3-manifolds. Zbl 0539.57013
Gabai, David
43
1983
Foliations and genera of links. Zbl 0567.57021
Gabai, David
30
1984
On the geometric and topological rigidity of hyperbolic 3-manifolds. Zbl 0870.57014
Gabai, David
27
1997
1-bridge braids in solid tori. Zbl 0817.57006
Gabai, David
25
1990
Genera of the alternating links. Zbl 0631.57004
Gabai, David
25
1986
Genera of the arborescent links. Zbl 0585.57003
Gabai, David
23
1986
Problems in foliations and laminations. Zbl 0888.57025
Gabai, David
23
1997
Group negative curvature for 3-manifolds with genuine laminations. Zbl 0905.57011
Gabai, David; Kazez, William H.
18
1998
Mom technology and volumes of hyperbolic 3-manifolds. Zbl 1207.57023
Gabai, David; Meyerhoff, Robert; Milley, Peter
18
2011
Almost filling laminations and the connectivity of ending lamination space. Zbl 1165.57015
Gabai, David
16
2009
The simple loop conjecture. Zbl 0556.57007
Gabai, David
16
1985
The Smale conjecture for hyperbolic 3-manifolds: \(\text{Isom}(M^3)\simeq\text{Diff}(M^3)\). Zbl 1030.57026
Gabai, David
15
2001
Genus is superadditive under band connected sum. Zbl 0621.57004
Gabai, David
13
1987
Two papers: Genera of the arborescent links and A norm for the homology of 3-manifolds. Zbl 1415.57001
Gabai, David; Thurston, William P.
13
1986
Foliations and surgery on knots. Zbl 0606.57014
Gabai, David
11
1986
Foliations and 3-manifolds. Zbl 0754.57008
Gabai, David
10
1991
The classification of maps of surfaces. Zbl 0633.57002
Gabai, David; Kazez, William H.
9
1987
Order trees and laminations of the plane. Zbl 0887.57031
Gabai, David; Kazez, William H.
9
1997
The Murasugi sum is a natural geometric operation. II. Zbl 0584.57003
Gabai, David
9
1985
Volumes of tubes in hyperbolic 3-manifolds. Zbl 1029.57014
Gabai, David; Meyerhoff, G. Robert; Milley, Peter
8
2001
Quasi-minimal semi-Euclidean laminations in 3-manifolds. Zbl 0964.57015
Gabai, David
8
1998
Pseudo-Anosov maps and surgery on fibred 2-bridge knots. Zbl 0714.57004
Gabai, David; Kazez, William H.
8
1990
Convergence groups are Fuchsian groups. Zbl 0733.57022
Gabai, David
8
1991
Homotopy hyperbolic 3-manifolds are virtually hyperbolic. Zbl 0801.57009
Gabai, David
8
1994
Essential laminations and Kneser normal form. Zbl 1028.57012
Gabai, David
7
1999
Taut foliations of \(3\)-manifolds and suspensions of \(S^ 1\). Zbl 0736.57010
Gabai, David
7
1992
On the topology of ending lamination space. Zbl 1307.57012
Gabai, David
7
2014
3 lectures on foliations and laminations on 3-manifolds. Zbl 0981.57008
Gabai, David
6
2001
On the classification of Heegaard splittings. Zbl 1403.57013
Colding, Tobias Holck; Gabai, David; Ketover, Daniel
5
2018
Mom technology and hyperbolic 3-manifolds. Zbl 1241.57001
Gabai, David; Meyerhoff, Robert; Milley, Peter
5
2010
Combinatorial volume preserving flows and taut foliations. Zbl 0964.57021
Gabai, David
5
2000
Homotopy, isotopy and genuine laminations of 3-manifolds. Zbl 0893.57012
Gabai, David; Kazez, William H.
5
1997
The Whitehead manifold is a union of two Euclidean spaces. Zbl 1238.57025
Gabai, David
5
2011
The 4-dimensional light bulb theorem. Zbl 1479.57048
Gabai, David
4
2020
3-manifolds with essential laminations are covered by solid tori. Zbl 0789.57010
Gabai, David; Kazez, William H.
3
1993
On 3-manifolds finitely covered by surface bundles. Zbl 0624.57011
Gabai, David
3
1986
The finiteness of the mapping class group for atoroidal \(3\)-manifolds with genuine laminations. Zbl 0931.57013
Gabai, David; Kazez, William H.
3
1998
The classification of maps of surfaces. Zbl 0598.57006
Gabai, David; Kazez, William H.
3
1986
Collected Works of William P. Thurston with Commentary: IV. The geometry and topology of three-manifolds: with a preface by Steven P. Kerckhoff. Edited by Benson Farb, David Gabai and Steven P. Kerckhoff. Zbl 1507.57005
Thurston, William P.
3
2022
Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds. Zbl 1403.57012
Colding, Tobias Holck; Gabai, David
2
2018
William P. Thurston, 1946–2012. Zbl 1338.55002
Haefliger, André; Epstein, David; Sullivan, Dennis P.
2
2015
Valentin Poénaru’s program for the Poincaré conjecture. Zbl 0866.57010
Gabai, David
2
1995
Exceptional hyperbolic 3-manifolds. Zbl 1331.57021
Gabai, David; Trnkova, Maria
2
2015
The fully marked surface theorem. Zbl 1464.57023
Gabai, David; Yazdi, Mehdi
1
2020
Self-referential discs and the light bulb lemma. Zbl 1483.57018
Gabai, David
1
2021
Covering a nontaming knot by the unlink. Zbl 1158.57024
Freedman, Michael H.; Gabai, David
1
2007
Volumes of hyperbolic 3-manifolds. Zbl 1304.57005
Gabai, David; Meyerhoff, Robert; Milley, Peter
1
2014
The classification of maps of nonorientable surfaces. Zbl 0656.57001
Gabai, David; Kazez, William H.
1
1988
Collected Works of William P. Thurston with Commentary: IV. The geometry and topology of three-manifolds: with a preface by Steven P. Kerckhoff. Edited by Benson Farb, David Gabai and Steven P. Kerckhoff. Zbl 1507.57005
Thurston, William P.
3
2022
Self-referential discs and the light bulb lemma. Zbl 1483.57018
Gabai, David
1
2021
The 4-dimensional light bulb theorem. Zbl 1479.57048
Gabai, David
4
2020
The fully marked surface theorem. Zbl 1464.57023
Gabai, David; Yazdi, Mehdi
1
2020
On the classification of Heegaard splittings. Zbl 1403.57013
Colding, Tobias Holck; Gabai, David; Ketover, Daniel
5
2018
Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds. Zbl 1403.57012
Colding, Tobias Holck; Gabai, David
2
2018
William P. Thurston, 1946–2012. Zbl 1338.55002
Haefliger, André; Epstein, David; Sullivan, Dennis P.
2
2015
Exceptional hyperbolic 3-manifolds. Zbl 1331.57021
Gabai, David; Trnkova, Maria
2
2015
On the topology of ending lamination space. Zbl 1307.57012
Gabai, David
7
2014
Volumes of hyperbolic 3-manifolds. Zbl 1304.57005
Gabai, David; Meyerhoff, Robert; Milley, Peter
1
2014
Mom technology and volumes of hyperbolic 3-manifolds. Zbl 1207.57023
Gabai, David; Meyerhoff, Robert; Milley, Peter
18
2011
The Whitehead manifold is a union of two Euclidean spaces. Zbl 1238.57025
Gabai, David
5
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
57
2009
Almost filling laminations and the connectivity of ending lamination space. Zbl 1165.57015
Gabai, David
16
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
112
2006
Homotopy hyperbolic 3-manifolds are hyperbolic. Zbl 1052.57019
Gabai, David; Meyerhoff, G. Robert; Thurston, Nathaniel
47
2003
The Smale conjecture for hyperbolic 3-manifolds: \(\text{Isom}(M^3)\simeq\text{Diff}(M^3)\). Zbl 1030.57026
Gabai, David
15
2001
Volumes of tubes in hyperbolic 3-manifolds. Zbl 1029.57014
Gabai, David; Meyerhoff, G. Robert; Milley, Peter
8
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
5
2000
Essential laminations and Kneser normal form. Zbl 1028.57012
Gabai, David
7
1999
Group negative curvature for 3-manifolds with genuine laminations. Zbl 0905.57011
Gabai, David; Kazez, William H.
18
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
27
1997
Problems in foliations and laminations. Zbl 0888.57025
Gabai, David
23
1997
Order trees and laminations of the plane. Zbl 0887.57031
Gabai, David; Kazez, William H.
9
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
2
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
98
1992
Taut foliations of \(3\)-manifolds and suspensions of \(S^ 1\). Zbl 0736.57010
Gabai, David
7
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
25
1990
Pseudo-Anosov maps and surgery on fibred 2-bridge knots. Zbl 0714.57004
Gabai, David; Kazez, William H.
8
1990
Essential laminations in 3-manifolds. Zbl 0685.57007
Gabai, David; Oertel, Ulrich
77
1989
Surgery on knots in solid tori. Zbl 0678.57004
Gabai, David
55
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
145
1987
Foliations and the topology of 3-manifolds. II. Zbl 0627.57012
Gabai, David
87
1987
Genus is superadditive under band connected sum. Zbl 0621.57004
Gabai, David
13
1987
The classification of maps of surfaces. Zbl 0633.57002
Gabai, David; Kazez, William H.
9
1987
Detecting fibred links in \(S^ 3\). Zbl 0621.57003
Gabai, David
59
1986
Genera of the alternating links. Zbl 0631.57004
Gabai, David
25
1986
Genera of the arborescent links. Zbl 0585.57003
Gabai, David
23
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.
13
1986
Foliations and surgery on knots. Zbl 0606.57014
Gabai, David
11
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
16
1985
The Murasugi sum is a natural geometric operation. II. Zbl 0584.57003
Gabai, David
9
1985
Foliations and genera of links. Zbl 0567.57021
Gabai, David
30
1984
Foliations and the topology of 3-manifolds. Zbl 0533.57013
Gabai, David
125
1983
The Murasugi sum is a natural geometric operation. Zbl 0524.57004
Gabai, David
57
1983
Foliations and the topology of 3-manifolds. Zbl 0539.57013
Gabai, David
43
1983
all top 5

Cited by 825 Authors

19 Gabai, David
17 Stoimenow, Alexander
16 Ni, Yi
15 Boyer, Steven
13 Zhang, Xingru
11 Agol, Ian
11 Juhász, András
11 Kazez, William H.
11 Lackenby, Marc
11 Leininger, Christopher J.
11 Ohshika, Ken’ichi
11 Reid, Alan W.
10 Calegari, Danny Matthew Cornelius
10 Fenley, Sérgio R.
10 Friedl, Stefan
10 Scharlemann, Martin G.
10 Shalen, Peter B.
10 Taylor, Scott A.
10 Tomova, Maggy
9 Baker, Kenneth L.
9 Dunfield, Nathan M.
9 Gordon, Cameron McA.
9 Honda, Ko
9 Li, Tao
9 Minsky, Yair N.
9 Motegi, Kimihiko
9 Teragaito, Masakazu
8 Coskunuzer, Baris
8 Ozawa, Makoto
8 Roberts, Rachel
8 Souto, Juan
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 Schleimer, Saul
6 Boileau, Michel Charles
6 Futer, David
6 Hedden, Matthew
6 Ichihara, Kazuhiro
6 Kalfagianni, Efstratia
6 Kim, Dongseok
6 Kim, Inkang
6 Kleiner, Bruce
6 Li, Zhenkun
6 Miyazaki, Katura
6 Mj, Mahan
6 Purcell, Jessica Shepherd
6 Szabo, Zoltan
6 Zupan, Alexander
5 Baader, Sebastian
5 Bowditch, Brian H.
5 Canary, Richard D.
5 Deruelle, Arnaud
5 Hidalgo, Rubén Antonio
5 Lidman, Tye
5 Luecke, John
5 Markovic, Vladimir
5 Murasugi, Kunio
5 Namazi, Hossein
5 Oertel, Ulrich
5 Ozsváth, Peter Steven
5 Ruberman, Daniel
5 Rudolph, Lee Norman
5 Saito, Toshio
5 Soma, Teruhiko
5 Zemke, Ian
4 Adams, Colin C.
4 Bachman, David
4 Biringer, Ian
4 Domergue, Michel
4 Eudave-Muñoz, Mario
4 Hatcher, Allen Edward
4 Hayashi, Chuichiro
4 Hillman, Jonathan Arthur
4 Hirasawa, Mikami
4 Ito, Tetsuya
4 Jeon, Woojin
4 Kapovich, Michael
4 Mark, Thomas E.
4 Meier, Jeffrey
4 Meyerhoff, Robert
4 Ozbagci, Burak
4 Repovš, Dušan D.
4 Schultens, Jennifer
4 Song, Hyun-Jong
4 Stein, Melanie I.
4 Vafaee, Faramarz
4 Van Quach Hongler, Cam
3 Atkinson, Christopher K.
3 Baik, Hyungryul
3 Baldwin, John A.
3 Barbot, Thierry
3 Ben Aribi, Fathi
3 Bestvina, Mladen
...and 725 more Authors
all top 5

Cited in 144 Serials

103 Algebraic & Geometric Topology
92 Topology and its Applications
86 Geometry & Topology
71 Transactions of the American Mathematical Society
62 Journal of Knot Theory and its Ramifications
44 Proceedings of the American Mathematical Society
27 Geometriae Dedicata
23 Mathematische Annalen
22 Inventiones Mathematicae
20 Advances in Mathematics
20 Journal of the American Mathematical Society
13 Duke Mathematical Journal
12 Mathematical Proceedings of the Cambridge Philosophical Society
12 Bulletin of the American Mathematical Society. New Series
12 Groups, Geometry, and Dynamics
11 Annales de l’Institut Fourier
11 Journal of Topology
10 Mathematische Zeitschrift
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Annals of Mathematics. Second Series
9 Geometric and Functional Analysis. GAFA
8 Osaka Journal of Mathematics
8 Pacific Journal of Mathematics
7 Israel Journal of Mathematics
7 Conformal Geometry and Dynamics
6 Compositio Mathematica
6 Journal für die Reine und Angewandte Mathematik
6 Ergodic Theory and Dynamical Systems
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Tokyo Journal of Mathematics
5 Winter Braids Lecture Notes
4 Chaos, Solitons and Fractals
4 Commentarii Mathematici Helvetici
4 Journal of the London Mathematical Society. Second Series
4 Journal of the Mathematical Society of Japan
4 International Journal of Mathematics
4 Expositiones Mathematicae
4 Indagationes Mathematicae. New Series
4 Selecta Mathematica. New Series
4 Boletín de la Sociedad Matemática Mexicana. Third Series
4 Communications in Contemporary Mathematics
3 Bulletin of the Australian Mathematical Society
3 Bulletin de la Société Mathématique de France
3 Journal of Algebra
3 Journal of Differential Geometry
3 The Journal of Geometric Analysis
3 Journal of the European Mathematical Society (JEMS)
3 Journal of High Energy Physics
3 Journal of the Australian Mathematical Society
3 Computational Methods and Function Theory
3 Journal of Topology and Analysis
3 Quantum Topology
3 Science China. Mathematics
3 Korean Journal of Mathematics
2 Communications in Algebra
2 Mathematics of Computation
2 The Mathematical Intelligencer
2 Acta Mathematica
2 Archiv der Mathematik
2 Bulletin of the London Mathematical Society
2 Canadian Mathematical Bulletin
2 Illinois Journal of Mathematics
2 Memoirs of the American Mathematical Society
2 Acta Mathematica Hungarica
2 Discrete & Computational Geometry
2 Sugaku Expositions
2 International Journal of Algebra and Computation
2 Experimental Mathematics
2 Revista Matemática Complutense
2 Advances in Geometry
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Central European Journal of Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 International Journal of Modern Physics A
1 Letters in Mathematical Physics
1 Lithuanian Mathematical Journal
1 Nuclear Physics. B
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Journal of Geometry and Physics
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 Canadian Journal of Mathematics
1 Fundamenta Mathematicae
1 Glasgow Mathematical Journal
1 Publications Mathématiques
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 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 Bulletin of the Korean Mathematical Society
...and 44 more Serials
all top 5

Cited in 41 Fields

843 Manifolds and cell complexes (57-XX)
159 Group theory and generalizations (20-XX)
101 Differential geometry (53-XX)
86 Functions of a complex variable (30-XX)
70 Dynamical systems and ergodic theory (37-XX)
22 Topological groups, Lie groups (22-XX)
21 Several complex variables and analytic spaces (32-XX)
21 Algebraic topology (55-XX)
19 Global analysis, analysis on manifolds (58-XX)
18 Geometry (51-XX)
15 Combinatorics (05-XX)
15 Algebraic geometry (14-XX)
14 General topology (54-XX)
11 Number theory (11-XX)
11 Computer science (68-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Quantum theory (81-XX)
7 Measure and integration (28-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Convex and discrete geometry (52-XX)
5 Associative rings and algebras (16-XX)
5 Biology and other natural sciences (92-XX)
4 History and biography (01-XX)
4 Ordinary differential equations (34-XX)
4 Partial differential equations (35-XX)
4 Numerical analysis (65-XX)
4 Relativity and gravitational theory (83-XX)
2 General and overarching topics; collections (00-XX)
2 Commutative algebra (13-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 Functional analysis (46-XX)
2 Mechanics of particles and systems (70-XX)
1 Mathematical logic and foundations (03-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Potential theory (31-XX)
1 Operator theory (47-XX)
1 Probability theory and stochastic processes (60-XX)
1 Fluid mechanics (76-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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