David Gabai

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All published works

Action	Title	Year	Authors
+	Enumerating Kleinian Groups	2023	David Gabai Robert Meyerhoff Nathaniel Thurston Andrew Yarmola
+	On the automorphism groups of hyperbolic manifolds	2023	Ryan Budney David Gabai
+	Doubles of Gluck twists: a five dimensional approach	2023	David Gabai Patrick Naylor Hannah Schwartz
+	Pseudo-isotopies of simply connected 4-manifolds	2023	David Gabai David Gay Daniel A. Hartman Vyacheslav Krushkal Mark Powell
+	The Two-Eyes Lemma: A Linking Problem for Table-Top Necklaces	2022	David Gabai Robert Meyerhoff Andrew Yarmola
+	3-Spheres in the 4-Sphere and Pseudo-Isotopies of $S^1\times S^3$	2022	David Gabai
+ PDF Chat	Self-referential discs and the light bulb lemma	2021	David Gabai
+	Hyperbolic 3-manifolds of low cusp volume	2021	David Gabai Robert C. Haraway Robert Meyerhoff Nathaniel Thurston Andrew Yarmola
+	The fully marked surface theorem	2020	David Gabai Mehdi Yazdi
+	Self-Referential Discs and the Light Bulb Lemma	2020	David Gabai
+ PDF Chat	Geometric methods in Heegaard theory	2020	Tobias Colding David Gabai Daniel Ketover
+ PDF Chat	The fully marked surface theorem	2020	David Gabai Mehdi Yazdi
+	Geometric Methods In Heegaard Theory	2020	Tobias Colding David Gabai Daniel Ketover
+	The fully marked surface theorem	2020	David Gabai Mehdi Yazdi
+	Self-Referential Discs and the Light Bulb Lemma	2020	David Gabai
+	Knotted 3-balls in S^4	2019	Ryan Budney David Gabai
+	The 4-dimensional light bulb theorem	2019	David Gabai
+	Knotted 3-balls in S^4	2019	Ryan Budney David Gabai
+ PDF Chat	Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds	2018	Tobias Colding David Gabai
+ PDF Chat	On the classification of Heegaard splittings	2018	Tobias Colding David Gabai Daniel Ketover
+	The Two Eyes Lemma: a linking problem for horoball necklaces	2018	David Gabai Robert Meyerhoff Andrew Yarmola
+	The 4-Dimensional Light Bulb Theorem	2017	David Gabai
+	The 4-Dimensional Light Bulb Theorem	2017	David Gabai
+	D. Gabai - Maximal cusps of low volume	2016	David Gabai Fanny Bastien Pauline Martinet
+ PDF Chat	Exceptional hyperbolic 3-manifolds	2015	David Gabai Maria Trnková
+ PDF Chat	On the topology of ending lamination space	2014	David Gabai
+	The Whitehead manifold is a union of two Euclidean spaces	2011	David Gabai
+	Hyperbolic 3-manifolds in the 2000's	2011	David Gabai
+ PDF Chat	Mom technology and volumes of hyperbolic 3-manifolds	2010	David Gabai Robert Meyerhoff Peter Milley
+	Mom technology and hyperbolic 3-manifolds	2010	David Gabai Robert Meyerhoff Peter Milley
+	Minimum volume cusped hyperbolic three-manifolds	2009	David Gabai Robert Meyerhoff Peter Milley
+	Hyperbolic geometry and 3-manifold topology	2009	David Gabai
+ PDF Chat	Almost filling laminations and the connectivity of ending lamination space	2009	David Gabai
+	Mom technology and hyperbolic 3-manifolds	2009	David Gabai Robert Meyerhoff Peter Milley
+	Almost filling laminations and the connectivity of ending lamination space	2008	David Gabai
+ PDF Chat	Covering a nontaming knot by the unlink	2007	Michael Freedman David Gabai
+	Minimum volume cusped hyperbolic three-manifolds	2007	David Gabai Robert Meyerhoff Peter Milley
+	Mom technology and volumes of hyperbolic 3-manifolds	2006	David Gabai Robert Meyerhoff Peter Milley
+ PDF Chat	Shrinkwrapping and the taming of hyperbolic 3-manifolds	2005	Danny Calegari David Gabai
+	Shrinkwrapping and the taming of hyperbolic 3-manifolds	2004	Danny Calegari David Gabai
+ PDF Chat	Homotopy hyperbolic 3-manifolds are hyperbolic	2003	David Gabai G. Robert Meyerhoff Nathaniel Thurston
+ PDF Chat	The Smale Conjecture for Hyperbolic 3-Manifolds: Isom (M3) ≃ Diff (M3)	2001	David Gabai
+ PDF Chat	On Brittenham’s theorem	2001	David Gabai
+ PDF Chat	Volumes of Tubes in Hyperbolic 3-Manifolds	2001	David Gabai G. Robert Meyerhoff Peter Milley
+	3 lectures on foliations and laminations on 3-manifolds	2001	David Gabai
+ PDF Chat	Combinatorial volume preserving flows and taut foliations	2000	David Gabai
+ PDF Chat	Essential laminations and Kneser normal form	1999	David Gabai
+ PDF Chat	Group negative curvature for 3–manifolds with genuine laminations	1998	David Gabai William Kazez
+ PDF Chat	The finiteness of the mapping class group for atoroidal 3-manifolds with genuine laminations	1998	David Gabai William Kazez
+ PDF Chat	On the geometric and topological rigidity of hyperbolic 3-manifolds	1997	David Gabai
+ PDF Chat	Order trees and laminations of the plane	1997	David Gabai William Kazez
+	Homotopy Hyperbolic 3-Manifolds are Hyperbolic	1996	David Gabai G. Robert Meyerhoff Nathaniel Thurston
+ PDF Chat	Quasi-Minimal Semi-Euclidean Laminations in 3-Manifolds	1996	David Gabai
+	Homotopy Hyperbolic 3-Manifolds are Hyperbolic	1996	David Gabai G. Robert Meyerhoff Nathaniel Thurston
+	On the geometric and topological rigidity of hyperbolic 3-manifolds	1994	David Gabai
+ PDF Chat	Homotopy hyperbolic 3-manifolds are virtually hyperbolic	1994	David Gabai
+ PDF Chat	On the geometric and topological rigidity of hyperbolic 3-manifolds	1994	David Gabai
+	Homotopy Hyperbolic 3-Manifolds are Virtually Hyperbolic	1994	David Gabai
+	On the geometric and topological rigidity of hyperbolic 3-manifolds	1994	David Gabai
+	3-Manifolds with Essential Laminations are Covered by Solid Tori	1993	David Gabai William Kazez
+ PDF Chat	Convergence Groups are Fuchsian Groups	1992	David Gabai
+ PDF Chat	Taut foliations of 3-manifolds and suspensions of $S^1$	1992	David Gabai
+ PDF Chat	Convergence groups are Fuchsian groups	1991	David Gabai
+	1-bridge braids in solid tori	1990	David Gabai
+	Pseudo-Anosov maps and surgery on fibred 2-bridge knots	1990	David Gabai William Kazez
+	Foliations and 3-Manifolds*	1990	David Gabai
+	Essential Laminations in 3-Manifolds	1989	David Gabai Ulrich Oertel
+	Surgery on knots in solid tori	1989	David Gabai
+	The classification of maps of nonorientable surfaces	1988	David Gabai William Kazez
+ PDF Chat	The classification of maps of surfaces	1987	David Gabai William Kazez
+	Genus is superadditive under band connected sum	1987	David Gabai
+ PDF Chat	Foliations and the topology of 3-manifolds. II	1987	David Gabai
+	Foliations and the topology of 3-manifolds. III	1987	David Gabai
+	Detecting fibred links inS 3	1986	David Gabai
+	Genera of the alternating links	1986	David Gabai
+ PDF Chat	The classification of maps of surfaces	1986	David Gabai William Kazez
+ PDF Chat	Foliations and surgery on knots	1986	David Gabai
+	Genera of the arborescent links . A norm for the homology of 3-manifolds	1986	David Gabai William P. Thurston
+ PDF Chat	The simple loop conjecture	1985	David Gabai
+	The Murasugi sum is a natural geometric operation. II	1985	David Gabai
+	An internal hierarchy for 3-manifolds	1985	David Gabai
+	Foliations and genera of links	1984	David Gabai
+ PDF Chat	Foliations and the topology of 3-manifolds	1983	David Gabai
+ PDF Chat	Foliations and the topology of 3-manifolds	1983	David Gabai
+	The Murasugi sum is a natural geometric operation	1983	David Gabai

Common Coauthors

Coauthor	Papers Together
Robert Meyerhoff	10
William Kazez	8
Peter Milley	7
Nathaniel Thurston	5
Tobias Colding	4
Andrew Yarmola	4
G. Robert Meyerhoff	4
Daniel Ketover	3
Ryan Budney	3
Mehdi Yazdi	3
Danny Calegari	2
Maria Trnková	1
Ulrich Oertel	1
Fanny Bastien	1
Hannah Schwartz	1
Pauline Martinet	1
Vyacheslav Krushkal	1
David Gay	1
Patrick Naylor	1
William P. Thurston	1
Daniel A. Hartman	1
Robert C. Haraway	1
Mark Powell	1
Michael Freedman	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Foliations and the topology of 3-manifolds	1983	David Gabai	24
+ PDF Chat	On Irreducible 3-Manifolds Which are Sufficiently Large	1968	Friedhelm Waldhausen	14
+ PDF Chat	Homotopy hyperbolic 3-manifolds are hyperbolic	2003	David Gabai G. Robert Meyerhoff Nathaniel Thurston	12
+ PDF Chat	Three dimensional manifolds, Kleinian groups and hyperbolic geometry	1982	William P. Thurston	12
+ PDF Chat	A Lower Bound for the Volume of Hyperbolic 3-Manifolds	1987	Robert Meyerhoff	10
+	Essential Laminations in 3-Manifolds	1989	David Gabai Ulrich Oertel	9
+	Quasi-conformal mappings inn-space and the rigidity of hyperbolic space forms	1968	G. D. Mostow	9
+ PDF Chat	On the geometric and topological rigidity of hyperbolic 3-manifolds	1997	David Gabai	9
+ PDF Chat	Plongements dans les variétés feuilletées et classification de feuilletages sans holonomie	1974	Robert Roussarie	8
+ PDF Chat	Homotopy Equivalences of 3-Manifolds with Boundaries	1979	Klaus Johannson	8
+ PDF Chat	Volume change under drilling	2002	Ian Agol	8
+ PDF Chat	The simple loop conjecture	1985	David Gabai	7
+	Sphere-packing and volume in hyperbolic 3-space	1986	Robert Meyerhoff	6
+	Elementary Geometry in Hyperbolic Space	1989	Werner Fenchel	6
+	Foliations and genera of links	1984	David Gabai	6
+	The orientable cusped hyperbolic 3-manifolds of minimum volume	2001	Chun Cao G. Robert Meyerhoff	6
+	Lower bounds on volumes of hyperbolic Haken 3-manifolds	2007	Ian Agol Peter A. Storm William P. Thurston	6
+	Incompressible surfaces via branched surfaces	1984	William Floyd Ulrich Oertel	6
+ PDF Chat	Seifert fibered spaces in 3-manifolds	1979	William Jaco Peter B. Shalen	6
+	Embedded Minimal Surfaces, Exotic Spheres, and Manifolds with Positive Ricci Curvature	1982	William H. Meeks Leon Simon Shing‐Tung Yau	6
+ PDF Chat	Lectures on Three-Manifold Topology	1980	William Jaco	6
+	Foliations by planes	1968	Harold Rosenberg	6
+ PDF Chat	Vol3 and other exceptional hyperbolic 3-manifolds	2000	Kerry N. Jones Alan W. Reid	6
+ PDF Chat	Dehn surgery, homology and hyperbolic volume	2006	Ian Agol Marc Culler Peter B. Shalen	5
+ PDF Chat	Minimum volume hyperbolic 3-manifolds	2009	Peter Milley	5
+	A homological characterization of foliations consisting of minimal surfaces	1979	Dennis Sullivan	5
+	The Geometry of Finitely Generated Kleinian Groups	1974	Albert Marden	5
+	Exceptional Regions and Associated Exceptional Hyperbolic 3-Manifolds	2007	Abhijit Champanerkar Jacob Lewis Max Lipyanskiy Scott Meltzer	5
+	Surgery on knots in solid tori	1989	David Gabai	5
+	Geometry and Topology of Manifolds	2007	William P. Thurston	5
+ PDF Chat	On the geometry and dynamics of diffeomorphisms of surfaces	1988	William P. Thurston	5
+ PDF Chat	On the construction of branched coverings of low-dimensional manifolds	1979	Israel Berstein Allan L. Edmonds	5
+ PDF Chat	Mom technology and volumes of hyperbolic 3-manifolds	2010	David Gabai Robert Meyerhoff Peter Milley	4
+ PDF Chat	Shrinkwrapping and the taming of hyperbolic 3-manifolds	2005	Danny Calegari David Gabai	4
+ PDF Chat	The classification of Kleinian surface groups, II: The Ending Lamination Conjecture	2012	Jeffrey Brock Richard D. Canary Yair N. Minsky	4
+	Train tracks and the Gromov boundary of the complex of curves	2004	Ursula Hamenstaedt	4
+	Non-compact 3-manifolds and the missing-boundary problem	1974	Thomas W. Tucker	4
+ PDF Chat	Geometry of the complex of curves I: Hyperbolicity	1999	Howard Masur Yair N. Minsky	4
+ PDF Chat	Homotopy hyperbolic 3-manifolds are virtually hyperbolic	1994	David Gabai	4
+ PDF Chat	End reductions, fundamental groups, and covering spaces of irreducible open 3–manifolds	2005	Robert C. Myers	4
+	Hyperbolic manifolds according to Thurston and Jørgensen	2006	Michael Gromov	4
+	On fibering certain 3-manifolds	1961	John R. Stallings	4
+ PDF Chat	Precisely invariant collars and the volume of hyperbolic 3-folds	1998	F. W. Gehring Gaven Martin	4
+ PDF Chat	The existence of least area surfaces in 3-manifolds	1988	Joel Hass Peter Scott	4
+	On the classification of generic branched coverings of surfaces	1984	Israel Berstein Allan L. Edmonds	4
+ PDF Chat	Ends of hyperbolic 3-manifolds	1993	Richard D. Canary	4
+ PDF Chat	A classification of immersions of the two-sphere	1959	Stephen T. Smale	4
+ PDF Chat	La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie	1970	Jean Cerf	4
+ PDF Chat	Topologie de certains espaces de plongements	1961	Jean Cerf	4
+ PDF Chat	A universal upper bound on density of tube packings in hyperbolic space	2006	Andrew Przeworski	4