Algebraic & Geometric Topology Volume 18, issue 1 (2018)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Classification of tight contact structures on small Seifert fibered $L$–spaces

Irena Matkovič

Algebraic & Geometric Topology 18 (2018) 111–152

DOI: 10.2140/agt.2018.18.111

Bibliography

1	F Ding, H Geiges, A I Stipsicz, Surgery diagrams for contact 3–manifolds, Turkish J. Math. 28 (2004) 41 MR2056760
2	Y Eliashberg, Contact 3–manifolds twenty years since J Martinet’s work, Ann. Inst. Fourier (Grenoble) 42 (1992) 165 MR1162559
3	P Ghiggini, On tight contact structures with negative maximal twisting number on small Seifert manifolds, Algebr. Geom. Topol. 8 (2008) 381 MR2443233
4	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
5	P Ghiggini, P Lisca, A I Stipsicz, Tight contact structures on some small Seifert fibered 3–manifolds, Amer. J. Math. 129 (2007) 1403 MR2354324
6	P Ghiggini, S Schönenberger, On the classification of tight contact structures, from: "Topology and geometry of manifolds" (editors G Matić, C McCrory), Proc. Sympos. Pure Math. 71, Amer. Math. Soc. (2003) 121 MR2024633
7	K Honda, On the classification of tight contact structures, I, Geom. Topol. 4 (2000) 309 MR1786111
8	K Honda, On the classification of tight contact structures, II, J. Differential Geom. 55 (2000) 83 MR1849027
9	A G Lecuona, P Lisca, Stein fillable Seifert fibered 3–manifolds, Algebr. Geom. Topol. 11 (2011) 625 MR2782538
10	P Lisca, G Matić, Tight contact structures and Seiberg–Witten invariants, Invent. Math. 129 (1997) 509 MR1465333
11	P Lisca, A I Stipsicz, Ozsváth–Szabó invariants and tight contact 3–manifolds, III, J. Symplectic Geom. 5 (2007) 357 MR2413308
12	P Lisca, A I Stipsicz, Ozsváth–Szabó invariants and tight contact three-manifolds, II, J. Differential Geom. 75 (2007) 109 MR2282726
13	P Lisca, A I Stipsicz, On the existence of tight contact structures on Seifert fibered 3–manifolds, Duke Math. J. 148 (2009) 175 MR2524494
14	I Matkovič, Fillability of small Seifert fibered spaces, preprint (2016) arXiv:1608.00543
15	P Ozsváth, Z Szabó, On the Floer homology of plumbed three-manifolds, Geom. Topol. 7 (2003) 185 MR1988284
16	P Ozsváth, Z Szabó, Heegaard Floer homology and contact structures, Duke Math. J. 129 (2005) 39 MR2153455
17	O Plamenevskaya, Contact structures with distinct Heegaard Floer invariants, Math. Res. Lett. 11 (2004) 547 MR2092907
18	A I Stipsicz, Ozsváth–Szabó invariants and 3–dimensional contact topology, from: "Proceedings of the International Congress of Mathematicians, II" (editors R Bhatia, A Pal, G Rangarajan, V Srinivas, M Vanninathan), Hindustan Book Agency (2010) 1159 MR2827836
19	C Wendl, Strongly fillable contact manifolds and J–holomorphic foliations, Duke Math. J. 151 (2010) 337 MR2605865
20	H Wu, Legendrian vertical circles in small Seifert spaces, Commun. Contemp. Math. 8 (2006) 219 MR2219613