Geometry & Topology Volume 14, issue 4 (2010)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Author Index

To Appear

Other MSP Journals

Planar open books, monodromy factorizations and symplectic fillings

Olga Plamenevskaya and Jeremy Van Horn-Morris

Geometry & Topology 14 (2010) 2077–2101

DOI: 10.2140/gt.2010.14.2077

Bibliography

1	S Akbulut, B Ozbagci, Lefschetz fibrations on compact Stein surfaces, Geom. Topol. 5 (2001) 319 MR1825664
2	F Ding, H Geiges, Handle moves in contact surgery diagrams, J. Topol. 2 (2009) 105 MR2499439
3	Y Eliashberg, Filling by holomorphic discs and its applications, from: "Geometry of low-dimensional manifolds, 2 (Durham, 1989)" (editors S K Donaldson, C B Thomas), London Math. Soc. Lecture Note Ser. 151, Cambridge Univ. Press (1990) 45 MR1171908
4	Y Eliashberg, M Fraser, Classification of topologically trivial Legendrian knots, from: "Geometry, topology, and dynamics (Montreal, PQ, 1995)" (editor F Lalonde), CRM Proc. Lecture Notes 15, Amer. Math. Soc. (1998) 17 MR1619122
5	J B Etnyre, Planar open book decompositions and contact structures, Int. Math. Res. Not. (2004) 4255 MR2126827
6	J B Etnyre, Lectures on open book decompositions and contact structures, from: "Floer homology, gauge theory, and low-dimensional topology" (editors D A Ellwood, P Ozváth, A I Stipsicz, Z Szabó), Clay Math. Proc. 5, Amer. Math. Soc. (2006) 103 MR2249250
7	P Ghiggini, P Lisca, A I Stipsicz, Classification of tight contact structures on small Seifert 3–manifolds with e₀ ≥ 0, Proc. Amer. Math. Soc. 134 (2006) 909 MR2180909
8	P Ghiggini, P Lisca, A I Stipsicz, Tight contact structures on some small Seifert fibered 3–manifolds, Amer. J. Math. 129 (2007) 1403 MR2354324
9	E Giroux, Géométrie de contact : de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002)", Higher Ed. Press (2002) 405 MR1957051
10	R E Gompf, Toward a topological characterization of symplectic manifolds, J. Symplectic Geom. 2 (2004) 177 MR2108373
11	R E Gompf, A I Stipsicz, 4–manifolds and Kirby calculus, 20, Amer. Math. Soc. (1999) MR1707327
12	R Hind, Stein fillings of lens spaces, Commun. Contemp. Math. 5 (2003) 967 MR2030565
13	K Honda, On the classification of tight contact structures. I, Geom. Topol. 4 (2000) 309 MR1786111
14	K Honda, W H Kazez, G Matić, Right-veering diffeomorphisms of compact surfaces with boundary, Invent. Math. 169 (2007) 427 MR2318562
15	K Honda, W H Kazez, G Matić, On the contact class in Heegaard Floer homology, J. Differential Geom. 83 (2009) 289 MR2577470
16	P Kronheimer, T Mrowka, P Ozsváth, Z Szabó, Monopoles and lens space surgeries, Ann. of Math. (2) 165 (2007) 457 MR2299739
17	P Lisca, On symplectic fillings of 3–manifolds, from: "Proceedings of 6th Gökova Geometry-Topology Conference", Turkish J. Math. 23 (1999) 151 MR1701644
18	P Lisca, On symplectic fillings of lens spaces, Trans. Amer. Math. Soc. 360 (2008) 765 MR2346471
19	P Lisca, A I Stipsicz, Ozsváth–Szabó invariants and tight contact 3–manifolds. III, J. Symplectic Geom. 5 (2007) 357 MR2413308
20	P Lisca, A I Stipsicz, On the existence of tight contact structures on Seifert fibered 3–manifolds, Duke Math. J. 148 (2009) 175 MR2524494
21	D Margalit, J McCammond, Geometric presentations for the pure braid group, J. Knot Theory Ramifications 18 (2009) 1 MR2490001
22	D McDuff, The structure of rational and ruled symplectic 4–manifolds, J. Amer. Math. Soc. 3 (1990) 679 MR1049697
23	H Ohta, K Ono, Simple singularities and topology of symplectically filling 4–manifold, Comment. Math. Helv. 74 (1999) 575 MR1730658
24	P Ozsváth, A Stipsicz, Z Szabó, Planar open books and Floer homology, Int. Math. Res. Not. (2005) 3385 MR2200085
25	O Plamenevskaya, Contact structures with distinct Heegaard Floer invariants, Math. Res. Lett. 11 (2004) 547 MR2092907
26	C Wendl, Contact fiber sums, monodromy maps, and symplectic fillings, in preparation
27	C Wendl, Strongly fillable contact manifolds and J–holomorphic foliations, Duke Math. J. 151 (2010) 337 MR2605865
28	H Wu, Tight contact small seifert spaces with e₀≠0,−1,−2 arXiv:math.GT/0402167