Bibliography of David Gabai

[1] "The Murasugi Sum is a Natural Geometric Operation", Contemporary Mathematics 20 (1983), 131-145. [2] "Foliations and the Topology of 3-Manifolds", Bull. AMS 8 (1983), 77-80. [3] "Foliations and the Topology of 3-Manifolds", J. of Diff. Geom. 18 (1983), 445-503. [4] "Foliations and Genera of Links", Topology 23 (1984), 381-394. [5] "The Murasugi Sum is a Natural Geometric Operation II", Contemporary Mathematics 44 (1985), 93-100. [6] "The Simple Loop Conjecture", J. of Diff. Geom. 21(1985), 143-149. [7] "An Internal Hierarchy for 3-Manifolds", Lecture Notes in Mathematics, Springer 1144 (1985), 14-17. [8] "Genera of the Arborescent Links", Memoirs of the AMS, number 339, 1986. [9] "The Classification of Maps of Surfaces" (with Will Kazez), Bulletin of the AMS. 14 (1986), 283-286. [10] "Foliations and Surgery on Knots", Bulletin of the AMS. 15 (1986), 83-87. [11] "Genera of the Alternating Links", Duke Math. J., 53 (1986), 677-681. [12] "Detecting Fibred Links in S3", Commentarii Math. Helvetici, 61 (1986), 519-555. [13] "On 3-Manifolds Covered by Surface Bundles", London Math. Soc. Lecture Notes #112 (1987) 145-156. [14] "Foliations and the Topology of 3-Manifolds II", J. of Diff. Geom. 26 (1987) 461-478. [15] "Foliations and the Topology of 3-Manifolds III", J. of Diff. Geom. 26 (1987) 479-536. [16] "Genus is Superadditive under Band Connected Sum", Topology 26 (1987) 209-210. [17] "The Classification of Maps of Surfaces" (with Will Kazez), Invent. Math. 90 (1987) 219-242. [18] "The Classification of Maps of Non Orientable Surfaces" (with Will Kazez), Math. Annalen, 281 (1988) 687-702.

[19] "Surgery on Knots in Solid Tori", Topology, 28 (1989), 1-6. [20] "Essential Laminations in 3-Manifolds", (with Ulrich Oertel), Annals of Math, 130 (1989) 41-73. [21] "Pseudo Anosov Maps and Surgery on Fibred 2-Bridge Knots" (with Will Kazez), Top. and its App., 37 (1990), 93-100. [22] "1-Bridge Braids in Solid Tori", Topology and its Applications, 37 (1990), 221-235. [23] "Convergence Groups are Fuchsian Groups", Bull. AMS., (2) 25 (1991), 395-402. [24] "3-Manifolds and Foliations", Proc. Int. Cong. Math. 1990 Kyoto (1992), 609-619. [25] "Taut Foliations of 3-Manifolds and Suspensions of S1", Ann. Inst. Fourier, 42 (1992), 193-208. [26] "Convergence Groups are Fuchsian Groups", Annals of Math. 136 (1992), 447-510. [27] "3-Manifolds with Essential Laminations are Covered by Solid Tori" (with Will Kazez), J. Lon. Math. Soc., (2), 47 (1993), 557-576. [28] "Homotopy Hyperbolic 3-Manifolds are Virtually Hyperbolic", JAMS, 7 (1994), 193-198. [29] "On the Geometric and Topological Rigidity of Hyperbolic 3-Manifolds", Bull. AMS. 31 (1994), 228-232 [30] "Valentin Poenaru's Program for the Poincare Conjecture", Geom. Top. Physics. for Raoul Bott, Int. Press., (1995), 139- 166.

[31] "Homotopy, Isotopy and Genuine Laminations of 3-Manifolds" (with Will Kazez), Proc. 1993 Georgia Top. Conf., Stud. in Adv. Math. Vol 2.1, (1997), 123-138. [32] "Problems on the Geometric Theory of Foliations and Laminations on 3-Manifolds, Proc. 1993 Georgia Top. Conf., Stud. in Adv. Math. Vol 2.2, (1997), 1-34. [33] “On the Geometric and Topological Rigidity of Hyperbolic 3-Manifolds", JAMS, 10 (1997), 37-74. [34] “Order trees and laminations of the plane” (with Will Kazez), Math. Res. Letters, 4 (1997), 603-616. [35] “Group Negative Curvature for 3-Manifolds with Genuine Laminations”(with Will Kazez), Geom. and Top., 2 (1998) 65-77. [36] “Semi-Euclidean Laminations in 3-Manifolds”, Surveys in Differential Geometry (Inter. Press) 3 (1998) 195-242. [37] “Finiteness of the Mapping Class Group for 3-Manfolds with Essential Laminations", (with Will Kazez), J. Diff. Geom. 50 (1998), 123-127. [38] “Essential Laminations and Kneser Normal Form”, J. Diff. Geom., 53 (1999), 517-574. [39] “Taut Foliations and Combinatorial Volume Preserving Flows”, Comm. Math. Helv, 75 (2000), 109-124. [40] “3 Lectures on Foliations and Laminations on 3-Manifolds”, Contemp. Math. 269 (2001), 87-109. [41] “On Brittenham’s Theorem", Comm. Anal. Geom., 9(2001), 341-349. [42] “Volumes of Tubes in Hyperbolic 3-Manifolds” (with Robert Meyerhoff, Peter Milley), J. Diff. Geom., 57(2001), 23-46. [43] “The Smale Conjecture for Hyperbolic 3-Manifolds”, J. Diff. Geom., 58(2001), 113-149. [44] “Homotopy Hyperbolic 3-Manifolds are Hyperbolic”, (with Robert Meyerhoff, Nathaniel Thurston), Annals of Math., 157 (2003), 335-431. [45] “Kneser’s Work on Maps of Surfaces”, (with W. Kazez), Helmut Kneser Memorial Volume Verlag De Gruyter, Berlin 2006, 803-807. [46] “Shrinkwrapping and the Taming of Hyperbolic 3-Manifolds”, (with D. Calegari), J. AMS, 19 (2006), 385-446. [47] “Covering a nontaming knot by the unlink”, (with M. Freedman), Alg. & Geom. Top., 7 (2007), 1561-1578. [48] “Hyperbolic geometry and 3-Manifold Topology”, 2006 PCMI lectures, IAS/Park City 15 (2009), 73-104. [49] “Almost filling laminations and the connectivity of ending lamination space”, Geom. Top., 13 (2009), 1017-1041. [50] “Minimum volume cusped hyperbolic 3-manifolds”, (with R. Meyerhoff and P. Milley), J. AMS, 22 (2009), 1157-1215. [51] “Mom technology and hyperbolic 3-manifolds”, (with R. Meyerhoff and P. Milley), Contemp. Math. 510 (2010), 84-107. [52] “Hyperbolic 3-manifolds in the 2000’s”, Proc. Int. Cong. Math., 2010 Hyderabad, India 2 (2010) , 960-972. [53] ”Mom technology and volumes of hyperbolic 3-manifolds”, (with R. Meyerhoff and P. Milley), Comment. Math. Helv. 86 (2011), 145-188. [54] “The Whitehead manifold is the union of two Euclidean spaces”, J. of Topology, 3 (2011), 529-534. [55] “Volumes of hyperbolic 3-manifolds”, (with R. Meyerhoff and P. Milley), Clay Math. Proc., 19 (2014), 65-79. [56] “On the topology of ending lamination space”, Geometry and Topology, 18 (2014), 2683-2745. [57] ”Exceptional hyperbolic 3-manifolds”, (with M. Trnkova), Comment. Math. Helv., 90 (2015), 703-730. [58] “Effective Finiteness of Irreducible Heegaard Splittings of Non Haken 3-Manifolds” (with Toby Colding), Duke Math. J., 167 (2018), 2793-2832.

[59] “On the classification of Heegaard splittings” (with Toby Colding and Daniel Ketover), Duke Math. J., 167 (2018), 2833-2856. [60] “The 4-dimensional light bulb theorem”, J. AMS 33 (2020), 609-652. [61] “The fully marked surface theorem” (with Mehdi Yazdi), Acta Math., 225 (2020), 369-413. [62] "Self-referential discs and the light bulb lemma", to appear Comment. Math. Helv. [63] "Geometric Methods in Heegaard theory" (with Toby Colding and Daniel Ketover), to appear 2020 J. Diff. Geom. Surveys. [64] “The two eyes lemma: A linking problem for horoball necklaces” (with Andrew Yarmola and Rob Meyerhoff), preprint. [65] "Knotted 3-balls in S4" (with Ryan Budney), preprint.

Editing: [1] “Remembering Bill Thurston”, (coordinating editor with S. Kerckhoff), Notices of the AMS, 62 (2015), 1318-1332. [2] “William P. Thurston, 1946-2012”, (coordinating editor with S. Kerckhoff), Notices of the AMS, 63(2016), 31-41. [3] 2020 Journal of Differential Geometry Surveys, (co-edited with Ian Agol), to appear. [4] Collected Works of William P. Thurston (co-edited with Benson Farb and Steve Kerckhoff), to be published by AMS

Other: [1] “Thurston’s Geometrization Conjecture”, (with S. Kerckhoff), 2009 Annual Report of the Clay Mathematics Institute, 32- 38.