Volume 15, issue 4 (2011)

Download this article
For screen
For printing
Recent Issues

Volume 17 (2013)
Issue 1 1–620
Issue 2 621–

Volume 16 (2012) 1–4

Volume 15 (2011) 1–4

Volume 14 (2010) 1–5

Volume 13 (2009) 1–5

Volume 12 (2008) 1–5

Volume 11 (2007)

Volume 10 (2006)

Volume 9 (2005)

Volume 8 (2004)

Volume 7 (2003)

Volume 6 (2002)

Volume 5 (2001)

Volume 4 (2000)

Volume 3 (1999)

Volume 2 (1998)

Volume 1 (1997)

G&T Monographs
The Journal
About the Journal
Editorial Board
Editorial Interests
Author Index
Editorial procedure
Submission Guidelines
Submission Page
Author copyright form
Subscriptions
Contacts
G&T Publications
GTP Author Index

Symplectic embeddings of ellipsoids in dimension greater than four

Olguta Buse and Richard Hind

Geometry & Topology 15 (2011) 2091–2110

DOI: 10.2140/gt.2011.15.2091

Bibliography
1 P Biran, Symplectic packing in dimension 4, Geom. Funct. Anal. 7 (1997) 420–437 MR1466333
2 P Biran, A stability property of symplectic packing, Invent. Math. 136 (1999) 123–155 MR1681101
3 P Biran, From symplectic packing to algebraic geometry and back, from: "European Congress of Mathematics, Vol. II (Barcelona, 2000)" (editors C Casacuberta, R M Miró-Roig, J Verdera, S Xambó-Descamps), Progr. Math. 202, Birkhäuser (2001) 507–524 MR1909952
4 O Buse, R Hind, Optimal higher dimensional ellipsoids embeddings, in preparation
5 K Cieliebak, H Hofer, J Latschev, F Schlenk, Quantitative symplectic geometry arXiv:math.SG/0506191
6 I Ekeland, H Hofer, Symplectic topology and Hamiltonian dynamics, Math. Z. 200 (1989) 355–378 MR978597
7 I Ekeland, H Hofer, Symplectic topology and Hamiltonian dynamics II, Math. Z. 203 (1990) 553–567 MR1044064
8 A Floer, H Hofer, K Wysocki, Applications of symplectic homology I, Math. Z. 217 (1994) 577–606 MR1306027
9 L Godinho, Blowing up symplectic orbifolds, Ann. Global Anal. Geom. 20 (2001) 117–162 MR1857175
10 M Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307–347 MR809718
11 M Hutchings, Quantitative embedded contact homology, to appear in J. Differential Geom. arXiv:1005.2260
12 F Lalonde, D McDuff, The classification of ruled symplectic 4–manifolds, Math. Res. Lett. 3 (1996) 769–778 MR1426534
13 B H Li, T J Li, Symplectic genus, minimal genus and diffeomorphisms, Asian J. Math. 6 (2002) 123–144 MR1902650
14 B H Li, T J Li, On the diffeomorphism groups of rational and ruled 4–manifolds, J. Math. Kyoto Univ. 46 (2006) 583–593 MR2311360
15 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) 331–370 MR1913946
16 D McDuff, The Hofer conjecture on embedding symplectic ellipsoids, to appear in J. Differential Geom. arXiv:1008.1885v3
17 D McDuff, From symplectic deformation to isotopy, from: "Topics in symplectic 4–manifolds (Irvine, CA, 1996)" (editor R J Stern), First Int. Press Lect. Ser. I, Int. Press (1998) 85–99 MR1635697
18 D McDuff, Some 6–dimensional Hamiltonian S1–manifolds, J. Topol. 2 (2009) 589–623 MR2546587
19 D McDuff, Symplectic embeddings of 4–dimensional ellipsoids, J. Topol. 2 (2009) 1–22 MR2499436
20 D McDuff, L Polterovich, Symplectic packings and algebraic geometry, Invent. Math. 115 (1994) 405–434 MR1262938 With an appendix by Y Karshon
21 D McDuff, F Schlenk, The embedding capacity of 4–dimensional symplectic ellipsoids arXiv:0912.0532v2
22 E Opshtein, Maximal symplectic packings in P2, Compos. Math. 143 (2007) 1558–1575 MR2371382
23 F Schlenk, Embedding problems in symplectic geometry, de Gruyter Exp. in Math. 40, de Gruyter (2005) MR2147307
24 M Symington, Symplectic rational blowdowns, J. Differential Geom. 50 (1998) 505–518 MR1690738
25 L Traynor, Symplectic packing constructions, J. Differential Geom. 42 (1995) 411–429 MR1366550