Volume 19, issue 4 (2019)

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

Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

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
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Infinite staircases in the symplectic embedding problem for four-dimensional ellipsoids into polydisks

Michael Usher

Algebraic & Geometric Topology 19 (2019) 1935–2022
Bibliography
1 P Biran, Symplectic packing in dimension 4, Geom. Funct. Anal. 7 (1997) 420 MR1466333
2 Brahmagupta, Brāhmasphuṭasiddhānta, Indian Institute of Astronomical and Sanskrit Research (c. 628)
3 D Cristofaro-Gardiner, D Frenkel, F Schlenk, Symplectic embeddings of four-dimensional ellipsoids into integral polydiscs, Algebr. Geom. Topol. 17 (2017) 1189 MR3623687
4 D Frenkel, D Müller, Symplectic embeddings of 4–dimensional ellipsoids into cubes, J. Symplectic Geom. 13 (2015) 765 MR3480057
5 J Gutt, M Usher, Symplectically knotted codimension-zero embeddings of domains in 4, preprint (2017) arXiv:1708.01574
6 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
7 D McDuff, Symplectic embeddings of 4–dimensional ellipsoids, J. Topol. 2 (2009) 1 MR2499436
8 D McDuff, L Polterovich, Symplectic packings and algebraic geometry, Invent. Math. 115 (1994) 405 MR1262938
9 D McDuff, F Schlenk, The embedding capacity of 4–dimensional symplectic ellipsoids, Ann. of Math. 175 (2012) 1191 MR2912705
10 A R Pires, Symplectic embedding problems and infinite staircases, talk slides (2017)
11 L Traynor, Symplectic packing constructions, J. Differential Geom. 42 (1995) 411 MR1366550
12 M Usher, Symplectic embeddings of ellipsoids, computer program (2017)