MINIMAL ATLASES OF CLOSED SYMPLECTIC MANIFOLDS-Reference-Cited by-同舟云学术

MINIMAL ATLASES OF CLOSED SYMPLECTIC MANIFOLDS

Published:2007-12 Issue:06 Volume:09 Page:811-855
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

RUDYAK YU. B.¹,SCHLENK FELIX²

Affiliation:

1. University of Florida, Department of Mathematics, 358 Little Hall, P.O. Box 118105, Gainesville, FL 32611-8105, USA

2. Département de Mathématiques, Université Libre de Bruxelles, CP 218, Boulevard du Triomphe, 1050 Bruxelles, Belgium

Abstract

We study the number of Darboux charts needed to cover a closed connected symplectic manifold (M, ω) and effectively estimate this number from below and from above in terms of the Lusternik–Schnirelmann category of M and the Gromov width of (M, ω).

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199707002654

Reference48 articles.

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