Volume 15, issue 1 (2015)

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

Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508

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
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Nongeneric $J$–holomorphic curves and singular inflation

Dusa McDuff and Emmanuel Opshtein

Algebraic & Geometric Topology 15 (2015) 231–286
Bibliography
1 P Biran, A stability property of symplectic packing, Invent. Math. 136 (1999) 123 MR1681101
2 M S Borman, T J Li, W Wu, Spherical Lagrangians via ball packings and symplectic cutting, Selecta Math. 20 (2014) 261 MR3182449
3 O Buşe, Negative inflation and stability in symplectomorphism groups of ruled surfaces, J. Symplectic Geom. 9 (2011) 147 MR2811650
4 O Buse, R Hind, Symplectic embeddings of ellipsoids in dimension greater than four, Geom. Topol. 15 (2011) 2091 MR2860988
5 S K Donaldson, Symplectic submanifolds and almost-complex geometry, J. Differential Geom. 44 (1996) 666 MR1438190
6 J G Dorfmeister, T J Li, The relative symplectic cone and T2–fibrations, J. Symplectic Geom. 8 (2010) 1 MR2609626
7 H Hofer, V Lizan, J C Sikorav, On genericity for holomorphic curves in four-dimensional almost-complex manifolds, J. Geom. Anal. 7 (1997) 149 MR1630789
8 P B Kronheimer, T S Mrowka, The genus of embedded surfaces in the projective plane, Math. Res. Lett. 1 (1994) 797 MR1306022
9 F Lalonde, Isotopy of symplectic balls, Gromov’s radius and the structure of ruled symplectic 4–manifolds, Math. Ann. 300 (1994) 273 MR1299063
10 B H Li, T J Li, Symplectic genus, minimal genus and diffeomorphisms, Asian J. Math. 6 (2002) 123 MR1902650
11 T J Li, A K Liu, General wall crossing formula, Math. Res. Lett. 2 (1995) 797 MR1362971
12 T J Li, A K Liu, The equivalence between SW and Gr in the case where b+ = 1, Internat. Math. Res. Notices (1999) 335 MR1683312
13 T J Li, A K Liu, Uniqueness of symplectic canonical class, surface cone and symplectic cone of 4-manifolds with B+ = 1, J. Differential Geom. 58 (2001) 331 MR1913946
14 T J Li, M Usher, Symplectic forms and surfaces of negative square, J. Symplectic Geom. 4 (2006) 71 MR2240213
15 T J Li, W Zhang, J–holomorphic curves in a nef class arXiv:1210.3337
16 D McDuff, The local behaviour of holomorphic curves in almost complex 4–manifolds, J. Differential Geom. 34 (1991) 143 MR1114456
17 D McDuff, Singularities and positivity of intersections of J–holomorphic curves, from: "Holomorphic curves in symplectic geometry", Progr. Math. 117, Birkhäuser, Basel (1994) 191 MR1274930
18 D McDuff, Lectures on Gromov invariants for symplectic 4–manifolds, from: "Gauge theory and symplectic geometry", NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 488, Kluwer (1997) 175 MR1461573
19 D McDuff, From symplectic deformation to isotopy, from: "Topics in symplectic 4–manifolds", Int. Press (1998) 85 MR1635697
20 D McDuff, Symplectic embeddings of 4–dimensional ellipsoids, J. Topol. 2 (2009) 1 MR2499436
21 D McDuff, The Hofer conjecture on embedding symplectic ellipsoids, J. Differential Geom. 88 (2011) 519 MR2844441
22 D McDuff, Symplectic embeddings of 4–dimensional ellipsoids : Erratum, preprint (2013)
23 D McDuff, L Polterovich, Symplectic packings and algebraic geometry, Invent. Math. 115 (1994) 405 MR1262938
24 D McDuff, D Salamon, A survey of symplectic 4–manifolds with b+ = 1, Turkish J. Math. 20 (1996) 47 MR1392662
25 D McDuff, D Salamon, J–holomorphic curves and symplectic topology, 52, Amer. Math. Soc. (2012) MR2954391
26 D McDuff, F Schlenk, The embedding capacity of 4–dimensional symplectic ellipsoids, Ann. of Math. 175 (2012) 1191 MR2912705
27 E Opshtein, Singular polarizations and ellipsoid packings, Int. Math. Res. Not. 2013 (2013) 2568 MR3065088
28 C H Taubes, The Seiberg–Witten and Gromov invariants, Math. Res. Lett. 2 (1995) 221 MR1324704
29 C H Taubes, Counting pseudo-holomorphic submanifolds in dimension 4, J. Differential Geom. 44 (1996) 818 MR1438194
30 W Weiwei, Exact Lagrangians in An surface singularities, arXiv:1302.1598