Symplectic homology and periodic orbits near symplectic submanifolds

Content Provider	Semantic Scholar
Author	Cieliebak, Kai Ginzburg, Viktor L. Kerman, Ely
Copyright Year	2002
Abstract	Abstract We show that a small neighborhood of a closed symplectic submanifold in a geometrically bounded aspherical symplectic manifold has non-vanishing symplectic homology. As a consequence, we establish the existence of contractible closed characteristics on any thickening of the boundary of the neighborhood. When applied to twisted geodesic flows on compact symplectically aspherical manifolds, this implies the existence of contractible periodic orbits for a dense set of low energy values.
Starting Page	554
Ending Page	581
Page Count	28
File Format	PDF HTM / HTML
DOI	10.1007/s00014-004-0814-0
Volume Number	79
Alternate Webpage(s)	http://arxiv.org/pdf/math/0210468v2.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/math/0210468v1.pdf
Alternate Webpage(s)	http://www.ems-ph.org/journals/show_pdf.php?iss=3&issn=0010-2571&rank=5&vol=79
Alternate Webpage(s)	https://arxiv.org/pdf/math/0210468v2.pdf
Alternate Webpage(s)	https://doi.org/10.1007/s00014-004-0814-0
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article