arXiv:math/0506191v1 [math.SG] 10 Jun 2005
Quantitative symplectic geometry
K. Cieliebak, H. Hofer, J. Latschev and F. Schlenk
February 1, 2008
A symplectic manifold (M, ) is a smooth manifold M endowed with a nondegenerate and closed 2-form . By Darbouxs
SYMPLECTIC EMBEDDINGS AND CONTINUED
FRACTIONS: A SURVEY
arXiv:0908.4387v2 [math.SG] 14 Oct 2009
DUSA MCDUFF
Abstract. As has been known since the time of Gromovs Nonsqueezing Theorem, symplectic embedding questions lie at the heart of symplectic geometry.
arXiv:1409.2385v1 [math.SG] 8 Sep 2014
Symplectic embeddings of 4-dimensional ellipsoids
into polydiscs
Max Timmons, Priera Panescu and Madeleine Burkhart
Abstract
McDu and Schlenk have recently determined exactly when a fourdimensional symplectic ellipso
Symplectic forms
Joel Kamnitzer
March 24, 2011
1
Symplectic forms
We assume that the characteristic of our eld is not 2 (so 1 + 1 = 0).
1.1
Denition and examples
Recall that a skew-symmetric bilinear form is a bilinear form such that
(v, w) = (w, v) for a
SYMPLECTIC EMBEDDINGS OF 4-DIMENSIONAL ELLIPSOIDS
DUSA MCDUFF
Abstract. We show how to reduce the problem of symplectically embedding one 4dimensional rational ellipsoid into another to a problem of embedding disjoint unions
of balls into appropriate blow
THE EMBEDDING CAPACITY OF 4-DIMENSIONAL SYMPLECTIC
ELLIPSOIDS
arXiv:0912.0532v2 [math.SG] 31 Jan 2010
DUSA MCDUFF AND FELIX SCHLENK
Abstract. This paper calculates the function c(a) whose value at a is the inmum
of the size of a ball that contains a sympl