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Monoids in the mapping class group

John B Etnyre and Jeremy Van Horn-Morris

Geometry & Topology Monographs 19 (2015) 319–365
Bibliography
1 S Akbulut, R Matveyev, Exotic structures and adjunction inequality, Turkish J. Math. 21 (1997) 47 MR1456158
2 J Alexander, A lemma on systems of knotted curves, Proc. Nat. Acad. Sci. USA 9 (1923) 93
3 E Artin, Theorie der Zöpfe, Abh. Math. Sem. Univ. Hamburg 4 (1925) 47 MR3069440
4 K L Baker, J B Etnyre, J Van Horn-Morris, Cabling, contact structures and mapping class monoids, J. Differential Geom. 90 (2012) 1 MR2891477
5 J A Baldwin, Tight contact structures and genus one fibered knots, Algebr. Geom. Topol. 7 (2007) 701 MR2308961
6 J A Baldwin, Comultiplicativity of the Ozsváth–Szabó contact invariant, Math. Res. Lett. 15 (2008) 273 MR2385640
7 J A Baldwin, Comultiplication in link Floer homology and transversely nonsimple links, Algebr. Geom. Topol. 10 (2010) 1417 MR2661532
8 J A Baldwin, On the spectral sequence from Khovanov homology to Heegaard Floer homology, Int. Math. Res. Not. 2011 (2011) 3426 MR2822178
9 J A Baldwin, Contact monoids and Stein cobordisms, Math. Res. Lett. 19 (2012) 31
10 J A Baldwin, Capping off open books and the Ozsváth–Szabó contact invariant, J. Symplectic Geom. 11 (2013) 525 MR3117058
11 J A Baldwin, O Plamenevskaya, Khovanov homology, open books, and tight contact structures, Adv. Math. 224 (2010) 2544 MR2652216
12 A Beliakova, S Wehrli, Categorification of the colored Jones polynomial and Rasmussen invariant of links, Canad. J. Math. 60 (2008) 1240 MR2462446
13 D Bennequin, Entrelacements et équations de Pfaff, from: "Third Schnepfenried geometry conference, Vol. 1", Astérisque 107, Soc. Math. France (1983) 87 MR753131
14 J S Birman, Braids, links, and mapping class groups, 82, Princeton Univ. Press (1974) MR0375281
15 J S Birman, T E Brendle, Braids: A survey, from: "Handbook of knot theory" (editors W Menasco, M Thistlethwaite), Elsevier (2005) 19 MR2179260
16 J S Birman, W W Menasco, Stabilization in the braid groups, II : Transversal simplicity of knots, Geom. Topol. 10 (2006) 1425 MR2255503
17 M Boileau, S Orevkov, Quasi-positivité d’une courbe analytique dans une boule pseudo-convexe, C. R. Acad. Sci. Paris Sér. I Math. 332 (2001) 825 MR1836094
18 V Colin, K Honda, Reeb vector fields and open book decompositions, J. Eur. Math. Soc. 15 (2013) 443 MR3017043
19 M Dehn, Papers on group theory and topology, Springer (1987) MR881797
20 F Ding, H Geiges, A Legendrian surgery presentation of contact 3–manifolds, Math. Proc. Cambridge Philos. Soc. 136 (2004) 583 MR2055048
21 I A Dynnikov, M V Prasolov, Bypasses for rectangular diagrams. A proof of the Jones conjecture and related questions, Trans. Moscow Math. Soc. (2013) 97 MR3235791
22 Y Eliashberg, Filling by holomorphic discs and its applications, from: "Geometry of low-dimensional manifolds, 2" (editors S K Donaldson, C B Thomas), London Math. Soc. Lecture Note Ser. 151, Cambridge Univ. Press (1990) 45 MR1171908
23 Y Eliashberg, Topological characterization of Stein manifolds of dimension > 2, Internat. J. Math. 1 (1990) 29 MR1044658
24 Y Eliashberg, Contact 3–manifolds twenty years since J Martinet’s work, Ann. Inst. Fourier (Grenoble) 42 (1992) 165 MR1162559
25 Y Eliashberg, Unique holomorphically fillable contact structure on the 3–torus, Internat. Math. Res. Notices (1996) 77 MR1383953
26 T Etgü, B Ozbagci, Explicit horizontal open books on some plumbings, Internat. J. Math. 17 (2006) 1013 MR2274008
27 J B Etnyre, Symplectic convexity in low-dimensional topology, Topology Appl. 88 (1998) 3 MR1634561
28 J B Etnyre, Introductory lectures on contact geometry, from: "Topology and geometry of manifolds" (editors G Matić, C McCrory), Proc. Sympos. Pure Math. 71, Amer. Math. Soc. (2003) 81 MR2024631
29 J B Etnyre, Legendrian and transversal knots, from: "Handbook of knot theory" (editors W Menasco, M Thistlethwaite), Elsevier (2005) 105 MR2179261
30 J B Etnyre, K Honda, Tight contact structures with no symplectic fillings, Invent. Math. 148 (2002) 609 MR1908061
31 J B Etnyre, J Van Horn-Morris, Fibered transverse knots and the Bennequin bound, Int. Math. Res. Not. 2011 (2011) 1483 MR2806512
32 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
33 R Fenn, M T Greene, D Rolfsen, C Rourke, B Wiest, Ordering the braid groups, Pacific J. Math. 191 (1999) 49 MR1725462
34 D Gabai, Detecting fibred links in S3, Comment. Math. Helv. 61 (1986) 519 MR870705
35 D Gabai, U Oertel, Essential laminations in 3–manifolds, Ann. of Math. 130 (1989) 41 MR1005607
36 H Geiges, An introduction to contact topology, 109, Cambridge Univ. Press (2008) MR2397738
37 P Ghiggini, Strongly fillable contact 3–manifolds without Stein fillings, Geom. Topol. 9 (2005) 1677 MR2175155
38 P Ghiggini, Infinitely many universally tight contact manifolds with trivial Ozsváth–Szabó contact invariants, Geom. Topol. 10 (2006) 335 MR2224460
39 P Ghiggini, Ozsváth–Szabó invariants and fillability of contact structures, Math. Z. 253 (2006) 159 MR2206641
40 E Giroux, Géométrie de contact : de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians, Vol. II" (editor T Li), Higher Ed. Press (2002) 405 MR1957051
41 R E Gompf, Handlebody construction of Stein surfaces, Ann. of Math. 148 (1998) 619 MR1668563
42 M Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307 MR809718
43 S Harvey, K Kawamuro, O Plamenevskaya, On transverse knots and branched covers, Int. Math. Res. Not. 2009 (2009) 512 MR2482123
44 M Hedden, Knot Floer homology and relative adjunction inequalities
45 M Hedden, An Ozsváth–Szabó Floer homology invariant of knots in a contact manifold, Adv. Math. 219 (2008) 89 MR2435421
46 M Hedden, P Ording, The Ozsváth–Szabó and Rasmussen concordance invariants are not equal, Amer. J. Math. 130 (2008) 441 MR2405163
47 K Honda, W H Kazez, G Matić, Right-veering diffeomorphisms of compact surfaces with boundary, Invent. Math. 169 (2007) 427 MR2318562
48 K Honda, W H Kazez, G Matić, Right-veering diffeomorphisms of compact surfaces with boundary, II, Geom. Topol. 12 (2008) 2057 MR2431016
49 K Honda, W H Kazez, G Matić, On the contact class in Heegaard Floer homology, J. Differential Geom. 83 (2009) 289 MR2577470
50 T Ito, K Kawamuro, Open book foliation, Geom. Topol. 18 (2014) 1581 MR3228459
51 T Ito, K Kawamuro, Overtwisted discs in planar open books, Internat. J. Math. 26 (2015) 1550027, 29 MR3327490
52 D J LaFountain, W W Menasco, Embedded annuli and Jones’ conjecture, Algebr. Geom. Topol. 14 (2014) 3589 MR3302972
53 Y Lekili, B Ozbagci, Milnor fillable contact structures are universally tight, Math. Res. Lett. 17 (2010) 1055 MR2729630
54 W B R Lickorish, A finite set of generators for the homeotopy group of a 2–manifold, Proc. Cambridge Philos. Soc. 60 (1964) 769 MR0171269
55 P Lisca, G Matić, Stein 4–manifolds with boundary and contact structures, Topology Appl. 88 (1998) 55 MR1634563
56 A A Markov, Über die freie Äquivalenz der geschlossenen Zöpfe, Recueil Math. Moscou 1 (1935) 73
57 P Massot, Geodesible contact structures on 3–manifolds, Geom. Topol. 12 (2008) 1729 MR2421139
58 L Ng, P Ozsváth, D Thurston, Transverse knots distinguished by knot Floer homology, J. Symplectic Geom. 6 (2008) 461 MR2471100
59 K Niederkrüger, C Wendl, Weak symplectic fillings and holomorphic curves, Ann. Sci. Éc. Norm. Supér. 44 (2011) 801 MR2931519
60 S Y Orevkov, Link theory and oval arrangements of real algebraic curves, Topology 38 (1999) 779 MR1679799
61 S Y Orevkov, Markov moves for quasipositive braids, C. R. Acad. Sci. Paris Sér. I Math. 331 (2000) 557 MR1794098
62 S Y Orevkov, V V Shevchishin, Markov theorem for transversal links, J. Knot Theory Ramifications 12 (2003) 905 MR2017961
63 P Ozsváth, Z Szabó, Knot Floer homology and the four-ball genus, Geom. Topol. 7 (2003) 615 MR2026543
64 P Ozsváth, Z Szabó, Holomorphic disks and genus bounds, Geom. Topol. 8 (2004) 311 MR2023281
65 P Ozsváth, Z Szabó, Heegaard Floer homology and contact structures, Duke Math. J. 129 (2005) 39 MR2153455
66 P Ozsváth, Z Szabó, D Thurston, Legendrian knots, transverse knots and combinatorial Floer homology, Geom. Topol. 12 (2008) 941 MR2403802
67 J Pardon, The link concordance invariant from Lee homology, Algebr. Geom. Topol. 12 (2012) 1081 MR2928905
68 E Pavelescu, Braids and open book decompositions, PhD thesis, University of Pennsylvania (2008) MR2711619
69 O Plamenevskaya, Transverse knots and Khovanov homology, Math. Res. Lett. 13 (2006) 571 MR2250492
70 J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) MR2704683
71 J Rasmussen, Khovanov homology and the slice genus, Invent. Math. 182 (2010) 419 MR2729272
72 R Roberts, Taut foliations in punctured surface bundles, I, Proc. London Math. Soc. 82 (2001) 747 MR1816696
73 R Roberts, Taut foliations in punctured surface bundles, II, Proc. London Math. Soc. 83 (2001) 443 MR1839461
74 L Rudolph, Algebraic functions and closed braids, Topology 22 (1983) 191 MR683760
75 L Rudolph, An obstruction to sliceness via contact geometry and “classical” gauge theory, Invent. Math. 119 (1995) 155 MR1309974
76 R K Skora, Closed braids in 3–manifolds, Math. Z. 211 (1992) 173 MR1184326
77 J R Stallings, Constructions of fibred knots and links, from: "Algebraic and geometric topology, Part 2" (editor R J Milgram), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978) 55 MR520522
78 P A Sundheim, The Alexander and Markov theorems via diagrams for links in 3–manifolds, Trans. Amer. Math. Soc. 337 (1993) 591 MR1179401
79 W P Thurston, H E Winkelnkemper, On the existence of contact forms, Proc. Amer. Math. Soc. 52 (1975) 345 MR0375366
80 B Tosun, Tight small Seifert fibered spaces with e0 = 2 (2014)
81 V Vértesi, Transversely nonsimple knots, Algebr. Geom. Topol. 8 (2008) 1481 MR2443251
82 A Wand, Factorizations of diffeomorphisms of compact surfaces with boundary, PhD thesis, University of California, Berkeley (2010) MR2941541
83 A Wand, Tightness is preserved by Legendrian surgery, preprint (2014) arXiv:1404.1705
84 A Weinstein, Contact surgery and symplectic handlebodies, Hokkaido Math. J. 20 (1991) 241 MR1114405
85 C Wendl, Strongly fillable contact manifolds and J–holomorphic foliations, Duke Math. J. 151 (2010) 337 MR2605865
86 N C Wrinkle, The Markov theorem for transverse knots, preprint (2002) arXiv:math/0202055