Volume 24, issue 4 (2020)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 26
Issue 2, 477–936
Issue 1, 1–476

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Floer homology, group orderability, and taut foliations of hyperbolic $3$–manifolds

Nathan M Dunfield

Geometry & Topology 24 (2020) 2075–2125
Bibliography
1 I Agol, Virtual properties of 3–manifolds, from: "Proceedings of the International Congress of Mathematicians, I" (editors S Y Jang, Y R Kim, D W Lee, I Ye), Kyung Moon Sa (2014) 141 MR3728467
2 I Agol, T Li, An algorithm to detect laminar 3–manifolds, Geom. Topol. 7 (2003) 287
3 K L Baker, A H Moore, Montesinos knots, Hopf plumbings, and L–space surgeries, J. Math. Soc. Japan 70 (2018) 95 MR3750269
4 W Bosma, J Cannon, C Playoust, The Magma algebra system, I : The user language, J. Symbolic Comput. 24 (1997) 235 MR1484478
5 J Bowden, Approximating C0–foliations by contact structures, Geom. Funct. Anal. 26 (2016) 1255 MR3568032
6 S Boyer, A Clay, Foliations, orders, representations, L–spaces and graph manifolds, Adv. Math. 310 (2017) 159 MR3620687
7 S Boyer, C M Gordon, L Watson, On L–spaces and left-orderable fundamental groups, Math. Ann. 356 (2013) 1213 MR3072799
8 S Boyer, Y Hu, Taut foliations in branched cyclic covers and left-orderable groups, Trans. Amer. Math. Soc. 372 (2019) 7921 MR4029686
9 S Boyer, D Rolfsen, B Wiest, Orderable 3–manifold groups, Ann. Inst. Fourier (Grenoble) 55 (2005) 243 MR2141698
10 M Brittenham, Persistent laminations from Seifert surfaces, J. Knot Theory Ramifications 10 (2001) 1155 MR1871223
11 R W Bruggeman, Families of automorphic forms, 88, Birkhäuser (1994) MR1306502
12 B A Burton, The cusped hyperbolic census is complete, preprint (2014) arXiv:1405.2695
13 B A Burton, R Budney, W Pettersson, others, Regina: software for low-dimensional topology (1999)
14 D Calegari, Foliations transverse to triangulations of 3–manifolds, Comm. Anal. Geom. 8 (2000) 133 MR1730893
15 D Calegari, Foliations and the geometry of 3–manifolds, Oxford Univ. Press (2007) MR2327361
16 D Calegari, N M Dunfield, Laminations and groups of homeomorphisms of the circle, Invent. Math. 152 (2003) 149 MR1965363
17 A Candel, L Conlon, Foliations, II, 60, Amer. Math. Soc. (2003) MR1994394
18 A Clay, D Rolfsen, Ordered groups and topology, 176, Amer. Math. Soc. (2016) MR3560661
19 M Culler, N M Dunfield, Orderability and Dehn filling, Geom. Topol. 22 (2018) 1405 MR3780437
20 M Culler, N M Dunfield, J R Weeks, SnapPy, a computer program for studying the topology of 3–manifolds
21 C Delman, Essential laminations and Dehn surgery on 2–bridge knots, Topology Appl. 63 (1995) 201 MR1334307
22 C Delman, R Roberts, Alternating knots and Montesinos knots satisfy the L–space knot conjecture, video lecture presented by Delman (2017)
23 N M Dunfield, A census of exceptional Dehn fillings, (2018) arXiv:1812.11940
24 N Dunfield, code and data to accompany this paper (2019)
25 N M Dunfield, S Garoufalidis, Incompressibility criteria for spun-normal surfaces, Trans. Amer. Math. Soc. 364 (2012) 6109 MR2946944
26 N M Dunfield, N R Hoffman, J E Licata, Asymmetric hyperbolic L–spaces, Heegaard genus, and Dehn filling, Math. Res. Lett. 22 (2015) 1679 MR3507256
27 D B A Epstein, J W Cannon, D F Holt, S V F Levy, M S Paterson, W P Thurston, Word processing in groups, Jones & Bartlett (1992) MR1161694
28 W Floyd, B Weber, J Weeks, The Achilles’ heel of O(3,1) ?, Experiment. Math. 11 (2002) 91 MR1960304
29 D Gabai, Combinatorial volume preserving flows and taut foliations, Comment. Math. Helv. 75 (2000) 109 MR1760497
30 D Gabai, W H Kazez, Pseudo-Anosov maps and surgery on fibred 2–bridge knots, Topology Appl. 37 (1990) 93 MR1075377
31 X Gao, Non-L–space integral homology 3–spheres with no nice orderings, Algebr. Geom. Topol. 17 (2017) 2511 MR3686404
32 G Gardam, Profinite rigidity in the SnapPea census, Experiment. Math. (2019)
33 S Garoufalidis, M Goerner, C K Zickert, Gluing equations for PGL(n, )–representations of 3–manifolds, Algebr. Geom. Topol. 15 (2015) 565 MR3325748
34 S Garoufalidis, M Goerner, C K Zickert, The Ptolemy field of 3–manifold representations, Algebr. Geom. Topol. 15 (2015) 371 MR3325740
35 S Garoufalidis, D P Thurston, C K Zickert, The complex volume of SL(n, )–representations of 3–manifolds, Duke Math. J. 164 (2015) 2099 MR3385130
36 É Ghys, Groups acting on the circle, Enseign. Math. 47 (2001) 329 MR1876932
37 M Goerner, Ptolemy data for SnapPy manifolds
38 M Goerner, C K Zickert, Triangulation independent Ptolemy varieties, Math. Z. 289 (2018) 663 MR3803807
39 C Gordon, T Lidman, Taut foliations, left-orderability, and cyclic branched covers, Acta Math. Vietnam. 39 (2014) 599 MR3292587
40 J Hanselman, Bordered Heegaard Floer homology and graph manifolds, Algebr. Geom. Topol. 16 (2016) 3103 MR3584255
41 J Hanselman, HFhat_graph_manifolds (2016)
42 J Hanselman, J Rasmussen, S D Rasmussen, L Watson, L–spaces, taut foliations, and graph manifolds, Compos. Math. 156 (2020) 604 MR4055962
43 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
44 M Hedden, On knot Floer homology and cabling, II, Int. Math. Res. Not. 2009 (2009) 2248 MR2511910
45 M Hirasawa, T Kobayashi, Pre-taut sutured manifolds and essential laminations, Osaka J. Math. 38 (2001) 905 MR1864469
46 C D Hodgson, J R Weeks, Symmetries, isometries and length spectra of closed hyperbolic three-manifolds, Experiment. Math. 3 (1994) 261 MR1341719
47 N Hoffman, K Ichihara, M Kashiwagi, H Masai, S Oishi, A Takayasu, Verified computations for hyperbolic 3–manifolds, Experiment. Math. 25 (2016) 66 MR3424833
48 N R Hoffman, G S Walsh, The big Dehn surgery graph and the link of S3, Proc. Amer. Math. Soc. Ser. B 2 (2015) 17 MR3422666
49 D F Holt, B Eick, E A O’Brien, Handbook of computational group theory, Chapman & Hall (2005) MR2129747
50 J Hoste, M Thistlethwaite, J Weeks, The first 1,701,936 knots, Math. Intelligencer 20 (1998) 33 MR1646740
51 F Johansson, Arb: efficient arbitrary-precision midpoint-radius interval arithmetic, IEEE Trans. Comput. 66 (2017) 1281 MR3681746
52 A Juhász, A survey of Heegaard Floer homology, from: "New ideas in low dimensional topology" (editors L H Kauffman, V O Manturov), Ser. Knots Everything 56, World Sci. (2015) 237 MR3381327
53 W H Kazez, R Roberts, C0 approximations of foliations, Geom. Topol. 21 (2017) 3601 MR3693573
54 P Kronheimer, T Mrowka, P Ozsváth, Z Szabó, Monopoles and lens space surgeries, Ann. of Math. 165 (2007) 457 MR2299739
55 T Li, Laminar branched surfaces in 3–manifolds, Geom. Topol. 6 (2002) 153 MR1914567
56 R Lipshitz, P S Ozsváth, D P Thurston, Bordered Heegaard Floer homology: invariance and pairing, preprint (2008) arXiv:0810.0687
57 R Lipshitz, P S Ozsváth, D P Thurston, Tour of bordered Floer theory, Proc. Natl. Acad. Sci. USA 108 (2011) 8085 MR2806643
58 K Matsuzaki, M Taniguchi, Hyperbolic manifolds and Kleinian groups, Oxford Univ. Press (1998) MR1638795
59 R E Moore, R B Kearfott, M J Cloud, Introduction to interval analysis, SIAM (2009) MR2482682
60 R Naimi, Constructing essential laminations in 2–bridge knot surgered 3–manifolds, Pacific J. Math. 180 (1997) 153 MR1474899
61 W D Neumann, A calculus for plumbing applied to the topology of complex surface singularities and degenerating complex curves, Trans. Amer. Math. Soc. 268 (1981) 299 MR632532
62 P Ozsváth, Z Szabó, Holomorphic disks and genus bounds, Geom. Topol. 8 (2004) 311 MR2023281
63 P Ozsváth, Z Szabó, On knot Floer homology and lens space surgeries, Topology 44 (2005) 1281 MR2168576
64 J Rasmussen, S D Rasmussen, Floer simple manifolds and L–space intervals, Adv. Math. 322 (2017) 738 MR3720808
65 S D Rasmussen, L–space intervals for graph manifolds and cables, Compos. Math. 153 (2017) 1008 MR3705248
66 R Riley, A personal account of the discovery of hyperbolic structures on some knot complements, Expo. Math. 31 (2013) 104 MR3057120
67 S M Rump, Verification methods: rigorous results using floating-point arithmetic, Acta Numer. 19 (2010) 287 MR2652784
68 S Sarkar, J Wang, An algorithm for computing some Heegaard Floer homologies, Ann. of Math. 171 (2010) 1213 MR2630063
69 H Segerman, A generalisation of the deformation variety, Algebr. Geom. Topol. 12 (2012) 2179 MR3020204
70 A J Sommese, J Verschelde, C W Wampler, Introduction to numerical algebraic geometry, from: "Solving polynomial equations" (editors A Dickenstein, I Z Emiris), Algorithms Comput. Math. 14, Springer (2005) 301 MR2161992
71 M Soos, CryptoMiniSat, an advanced SAT solver (2016)
72 W Stein, others, SageMath mathematics software (2018)
73 W P Thurston, Geometry and topology of three-manifolds, lecture notes (1980)
74 W P Thurston, Three-dimensional geometry and topology, I, 35, Princeton Univ. Press (1997) MR1435975
75 M Trnková, Rigorous computations with an approximate Dirichlet domain, Topology Appl. 268 (2019) MR4014749
76 J Verschelde, Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation, ACM Trans. Math. Softw. 25 (1999) 251
77 J Verschelde, others, PHCpack: solving polynomial systems via homotopy continuation (1999)
78 J Weeks, Computation of hyperbolic structures in knot theory, from: "Handbook of knot theory" (editors W Menasco, M Thistlethwaite), Elsevier (2005) 461 MR2179268
79 B Zhan, bfh_python: computations in bordered Heegaard Floer homology (2014)
80 C K Zickert, Ptolemy coordinates, Dehn invariant and the A–polynomial, Math. Z. 283 (2016) 515 MR3489078