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
Special eccentricities of rational four-dimensional ellipsoids

Dan Cristofaro-Gardiner

Algebraic & Geometric Topology 22 (2022) 2267–2291
Bibliography
1 M Beck, S Robins, Computing the continuous discretely: integer-point enumeration in polyhedra, Springer (2007) MR2271992
2 M Bertozzi, T S Holm, E Maw, D McDuff, G T Mwakyoma, A R Pires, M Weiler, Infinite staircases for Hirzebruch surfaces, preprint (2020) arXiv:2010.08567
3 O Buse, R Hind, Ellipsoid embeddings and symplectic packing stability, Compos. Math. 149 (2013) 889 MR3069365
4 R Casals, R Vianna, Sharp ellipsoid embeddings and toric mutations, preprint (2020) arXiv:2004.13232
5 K Choi, D Cristofaro-Gardiner, D Frenkel, M Hutchings, V G B Ramos, Symplectic embeddings into four-dimensional concave toric domains, J. Topol. 7 (2014) 1054 MR3286897
6 D Cristofaro-Gardiner, Symplectic embeddings from concave toric domains into convex ones, J. Differential Geom. 112 (2019) 199 MR3960266
7 D Cristofaro-Gardiner, R Hind, Symplectic embeddings of products, Comment. Math. Helv. 93 (2018) 1 MR3777123
8 D Cristofaro-Gardiner, R Hind, D McDuff, The ghost stairs stabilize to sharp symplectic embedding obstructions, J. Topol. 11 (2018) 309 MR3789827
9 D Cristofaro-Gardiner, T S Holm, A Mandini, A R Pires, On infinite staircases in toric symplectic four-manifolds, preprint (2020) arXiv:2004.13062
10 D Cristofaro-Gardiner, A Kleinman, Ehrhart functions and symplectic embeddings of ellipsoids, J. Lond. Math. Soc. 101 (2020) 1090 MR4111936
11 D Frenkel, D Müller, Symplectic embeddings of 4–dim ellipsoids into cubes, J. Symplectic Geom. 13 (2015) 765 MR3480057
12 M Hutchings, Quantitative embedded contact homology, J. Differential Geom. 88 (2011) 231 MR2838266
13 M Hutchings, Recent progress on symplectic embedding problems in four dimensions, Proc. Natl. Acad. Sci. USA 108 (2011) 8093 MR2806644
14 D McDuff, The Hofer conjecture on embedding symplectic ellipsoids, J. Differential Geom. 88 (2011) 519 MR2844441
15 D McDuff, A remark on the stabilized symplectic embedding problem for ellipsoids, Eur. J. Math. 4 (2018) 356 MR3782228
16 D McDuff, F Schlenk, The embedding capacity of 4–dimensional symplectic ellipsoids, Ann. of Math. 175 (2012) 1191 MR2912705
17 M Usher, Infinite staircases in the symplectic embedding problem for four-dimensional ellipsoids into polydisks, Algebr. Geom. Topol. 19 (2019) 1935 MR3995022