Volume 21, issue 1 (2021)

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

Volume 25
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 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
On symplectic fillings of virtually overtwisted torus bundles

Austin Christian

Algebraic & Geometric Topology 21 (2021) 469–505
Bibliography
1 J Adachi, Round surgery and contact structures on 3–manifolds, preprint (2017) arXiv:1703.04093
2 R Avdek, Liouville hypersurfaces and connect sum cobordisms, preprint (2012) arXiv:1204.3145
3 M Bhupal, B Ozbagci, Canonical contact structures on some singularity links, Bull. Lond. Math. Soc. 46 (2014) 576 MR3210714
4 J Conway, J B Etnyre, B Tosun, Symplectic fillings, contact surgeries, and Lagrangian disks, Int. Math. Res. Not. (2019)
5 F Ding, H Geiges, Symplectic fillability of tight contact structures on torus bundles, Algebr. Geom. Topol. 1 (2001) 153 MR1823497
6 F Ding, Y Li, Strong symplectic fillability of contact torus bundles, Geom. Dedicata 195 (2018) 403 MR3820513
7 Y Eliashberg, Filling by holomorphic discs and its applications, from: "Geometry of low-dimensional manifolds, II" (editors S K Donaldson, C B Thomas), Lond. Math. Soc. Lect. Note Ser. 151, Cambridge Univ. Press (1990) 45 MR1171908
8 J B Etnyre, K Honda, Tight contact structures with no symplectic fillings, Invent. Math. 148 (2002) 609 MR1908061
9 E Fossati, Contact surgery on the Hopf link: classification of fillings, preprint (2019) arXiv:1905.13026
10 E Fossati, Topological constraints for Stein fillings of tight structures on lens spaces, preprint (2019) arXiv:1906.09162
11 E Giroux, Structures de contact en dimension trois et bifurcations des feuilletages de surfaces, Invent. Math. 141 (2000) 615 MR1779622
12 M Golla, P Lisca, On Stein fillings of contact torus bundles, Bull. Lond. Math. Soc. 48 (2016) 19 MR3455745
13 M Gromov, Pseudo holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307 MR809718
14 J Hempel, Residual finiteness for 3–manifolds, from: "Combinatorial group theory and topology" (editors S M Gersten, J R Stallings), Ann. of Math. Stud. 111, Princeton Univ. Press (1987) 379 MR895623
15 K Honda, On the classification of tight contact structures, I, Geom. Topol. 4 (2000) 309 MR1786111
16 K Honda, On the classification of tight contact structures, II, J. Differential Geom. 55 (2000) 83 MR1849027
17 P Lisca, On symplectic fillings of lens spaces, Trans. Amer. Math. Soc. 360 (2008) 765 MR2346471
18 D McDuff, The structure of rational and ruled symplectic 4–manifolds, J. Amer. Math. Soc. 3 (1990) 679 MR1049697
19 D McDuff, Symplectic manifolds with contact type boundaries, Invent. Math. 103 (1991) 651 MR1091622
20 M Menke, A JSJ-type decomposition theorem for symplectic fillings, preprint (2018) arXiv:1807.03420
21 B Ozbagci, A I Stipsicz, Contact 3–manifolds with infinitely many Stein fillings, Proc. Amer. Math. Soc. 132 (2004) 1549 MR2053364
22 O Plamenevskaya, J Van Horn-Morris, Planar open books, monodromy factorizations and symplectic fillings, Geom. Topol. 14 (2010) 2077 MR2740642