• 1466 Citations
  • 17 h-Index
1983 …2020

Research output per year

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Research Output

  • 1466 Citations
  • 17 h-Index
  • 37 Article
  • 4 Comment/debate
  • 1 Conference contribution
2018

Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds

Colding, T. H. & Gabai, D., Oct 1 2018, In : Duke Mathematical Journal. 167, 15, p. 2793-2832 40 p.

Research output: Contribution to journalArticle

1 Scopus citations

On the classification of Heegaard splittings

Colding, T. H., Gabai, D. & Ketover, D., Oct 1 2018, In : Duke Mathematical Journal. 167, 15, p. 2833-2856 24 p.

Research output: Contribution to journalArticle

2 Scopus citations
2015

Exceptional hyperbolic 3-manifolds

Gabai, D. & Trnkova, M., Jan 1 2015, In : Commentarii Mathematici Helvetici. 90, 3, p. 703-730 28 p.

Research output: Contribution to journalArticle

1 Scopus citations

William p. Thurston, 1946–2012

Gabai, D. & Kerckhoff, S., Dec 2015, In : Notices of the American Mathematical Society. 62, 11, p. 1318-1332 15 p.

Research output: Contribution to journalComment/debate

3 Scopus citations
2014

On the topology of ending lamination space

Gabai, D., Dec 1 2014, In : Geometry and Topology. 18, 5, p. 2683-2745 63 p.

Research output: Contribution to journalArticle

9 Scopus citations
2011

Mom technology and volumes of hyperbolic 3-manifolds

Gabai, D., Meyerhoff, R. & Milley, P., Jan 1 2011, In : Commentarii Mathematici Helvetici. 86, 1, p. 145-188 44 p.

Research output: Contribution to journalArticle

14 Scopus citations

The Whitehead manifold is a union of two Euclidean space

Gabai, D., 2011, In : Journal of Topology. 4, 3, p. 529-534 6 p., jtr010.

Research output: Contribution to journalArticle

4 Scopus citations
2010

Hyperbolic 3-manifolds in the 2000's

Gabai, D., Dec 1 2010, Proceedings of the International Congress of Mathematicians 2010, ICM 2010. p. 960-972 13 p. (Proceedings of the International Congress of Mathematicians 2010, ICM 2010).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2009

Almost filling laminations and the connectivity of ending lamination space

Gabai, D., Dec 1 2009, In : Geometry and Topology. 13, 2, p. 1017-1041 25 p.

Research output: Contribution to journalArticle

19 Scopus citations

Minimum volume cusped hyperbolic three-manifolds

Gabai, D., Meyerhoff, R. & Milley, P., Oct 1 2009, In : Journal of the American Mathematical Society. 22, 4, p. 1157-1215 59 p.

Research output: Contribution to journalArticle

60 Scopus citations
2007

Covering a nontaming knot by the unlink

Freedman, M. H. & Gabai, D., Dec 1 2007, In : Algebraic and Geometric Topology. 7, 1, p. 1561-1578 18 p.

Research output: Contribution to journalArticle

1 Scopus citations
2006

Shrinkwrapping and the taming of hyperbolic 3-manifolds

Calegari, D. & Gabai, D., Apr 1 2006, In : Journal of the American Mathematical Society. 19, 2, p. 385-446 62 p.

Research output: Contribution to journalArticle

118 Scopus citations
2003

Homotopy hyperbolic 3-manifolds are hyperbolic

Gabai, D., Meyerhoff, G. R. & Thurston, N., Mar 2003, In : Annals of Mathematics. 157, 2, p. 335-431 97 p.

Research output: Contribution to journalArticle

44 Scopus citations
2001

On Brittenham's theorem

Gabai, D., Apr 1 2001, In : Communications in Analysis and Geometry. 9, 2, p. 341-349 9 p.

Research output: Contribution to journalArticle

The smale conjecture for hyperbolic 3-manifolds: Isom (M3) ≃ diff (M3)

Gabai, D., Jan 1 2001, In : Journal of Differential Geometry. 58, 1, p. 113-149 37 p.

Research output: Contribution to journalArticle

16 Scopus citations

Volumes of tubes in hyperbolic 3-manifolds

Gabai, D., Meyerhoff, R. & Milley, P., Jan 1 2001, In : Journal of Differential Geometry. 57, 1, p. 23-46 24 p.

Research output: Contribution to journalArticle

18 Scopus citations
2000

Combinatorial volume preserving flows and taut foliations

Gabai, D., Jan 1 2000, In : Commentarii Mathematici Helvetici. 75, 1, p. 109-124 16 p.

Research output: Contribution to journalArticle

3 Scopus citations
1999

Essential laminations and kneser normal form

Gabai, D., Jan 1 1999, In : Journal of Differential Geometry. 53, 3, p. 517-574 58 p.

Research output: Contribution to journalArticle

8 Scopus citations
1998

Group negative curvature for 3-manifolds with genuine laminations

Gabai, D. & Kazez, W. H., 1998, In : Geometry and Topology. 2, p. 65-77 13 p.

Research output: Contribution to journalArticle

31 Scopus citations

The finiteness of the mapping class group for atoroidal 3-manifolds with genuine laminations

Gabai, D. & Kazez, W. H., Jan 1 1998, In : Journal of Differential Geometry. 50, 1, p. 123-127 5 p.

Research output: Contribution to journalArticle

4 Scopus citations
1997

On the geometric and topological rigidity of hyperbolic 3-manifolds

Gabai, D., Jan 1997, In : Journal of the American Mathematical Society. 10, 1, p. 37-74 38 p.

Research output: Contribution to journalArticle

Open Access
43 Scopus citations

Order trees and laminations of the plane

Gabai, D. & Kazez, W. H., Jan 1 1997, In : Mathematical Research Letters. 4, 4, p. 603-616 14 p.

Research output: Contribution to journalArticle

10 Scopus citations
1994

Homotopy hyperbolic 3-manifolds are virtually hyperbolic

Gabai, D., Jan 1994, In : Journal of the American Mathematical Society. 7, 1, p. 193-198 6 p.

Research output: Contribution to journalArticle

12 Scopus citations

On the geometric and topological rigidity of hyperbolic 3-manifolds

Gabai, D., Oct 1994, In : Bulletin of the American Mathematical Society. 31, 2, p. 228-232 5 p.

Research output: Contribution to journalComment/debate

3 Scopus citations
1993

3-manifolds with essential laminations are covered by solid tori

Gabai, D. & Kazez, W. H., Jun 1993, In : Journal of the London Mathematical Society. s2-47, 3, p. 557-576 20 p.

Research output: Contribution to journalArticle

5 Scopus citations
1991

Convergence groups are Fuchsian groups

Gabai, D., Oct 1991, In : Bulletin of the American Mathematical Society. 25, 2, p. 395-402 8 p.

Research output: Contribution to journalComment/debate

13 Scopus citations
1990

1-bridge braids in solid tori

Gabai, D., Dec 1990, In : Topology and its Applications. 37, 3, p. 221-235 15 p.

Research output: Contribution to journalArticle

45 Scopus citations

Pseudo-Anosov maps and surgery on fibred 2-bridge knots

Gabai, D. & Kazez, W. H., Oct 1990, In : Topology and its Applications. 37, 1, p. 93-100 8 p.

Research output: Contribution to journalArticle

14 Scopus citations
1989

Surgery on knots in solid tori

Gabai, D., 1989, In : Topology. 28, 1, p. 1-6 6 p.

Research output: Contribution to journalArticle

97 Scopus citations
1988

The classification of maps of nonorientable surfaces

Gabai, D. & Kazez, W. H., Dec 1 1988, In : Mathematische Annalen. 281, 4, p. 687-702 16 p.

Research output: Contribution to journalArticle

4 Scopus citations
1987

Foliations and the topology of 3-manifolds. II

Gabai, D., Nov 1987, In : Journal of Differential Geometry. 26, 3, p. 461-478 18 p.

Research output: Contribution to journalArticle

97 Scopus citations

Foliations and the topology of 3-manifolds. Ill

Gabai, D., Nov 1987, In : Journal of Differential Geometry. 26, 3, p. 479-536 58 p.

Research output: Contribution to journalArticle

270 Scopus citations

Genus is superadditive under band connected sum

Gabai, D., 1987, In : Topology. 26, 2, p. 209-210 2 p.

Research output: Contribution to journalArticle

22 Scopus citations

The classification of maps of surfaces

Gabai, D. & Kazez, W. H., Jun 1 1987, In : Inventiones Mathematicae. 90, 2, p. 219-242 24 p.

Research output: Contribution to journalArticle

13 Scopus citations
1986

Detecting fibred links in S3

Gabai, D., Dec 1 1986, In : Commentarii Mathematici Helvetici. 61, 1, p. 519-555 37 p.

Research output: Contribution to journalArticle

79 Scopus citations

Foliations and surgery on knots

Gabai, D., Jul 1986, In : Bulletin of the American Mathematical Society. 15, 1, p. 83-87 5 p.

Research output: Contribution to journalComment/debate

15 Scopus citations

Genera of the alternating links

Gabai, D., Sep 1986, In : Duke Mathematical Journal. 53, 3, p. 577-581 5 p.

Research output: Contribution to journalArticle

25 Scopus citations

The classification of maps of surfaces

Gabai, D. & Kazez, W. H., Apr 1986, In : Bulletin of the American Mathematical Society. 14, 2, p. 283-286 4 p.

Research output: Contribution to journalArticle

4 Scopus citations
1985

The simple loop conjecture

Gabai, D., Mar 1985, In : Journal of Differential Geometry. 21, 1, p. 143-149 7 p.

Research output: Contribution to journalArticle

20 Scopus citations
1984

Foliations and genera of links

Gabai, D., 1984, In : Topology. 23, 4, p. 381-394 14 p.

Research output: Contribution to journalArticle

49 Scopus citations
1983

Foliations and the topology of 3-manifolds

Gabai, D., Jan 1 1983, In : Bulletin of the American Mathematical Society. 8, 1, p. 77-80 4 p.

Research output: Contribution to journalArticle

9 Scopus citations

Foliations and the topology of 3-manifolds

Gabai, D., Sep 1983, In : Journal of Differential Geometry. 18, 3, p. 445-503 59 p.

Research output: Contribution to journalArticle

261 Scopus citations