Algebraic & Geometric Topology Volume 19, issue 4 (2019)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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

DOI: 10.2140/agt.2019.19.1935

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 ℝ⁴, 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)