Universität zu Köln

Geiges, Hansjoerg and Zehmisch, Kai ORCID: 0000-0002-9512-860X (2020). Odd-symplectic forms via surgery and minimality in symplectic dynamics. Ergod. Theory Dyn. Syst., 40 (3). S. 699 - 714. NEW YORK: CAMBRIDGE UNIV PRESS. ISSN 1469-4417

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Abstract

We construct an infinite family of odd-symplectic forms (also known as Hamiltonian structures) on the 3-sphere S3 that do not admit a symplectic cobordism to the standard contact structure on S3. This answers in the negative a question raised by Joel Fish motivated by the search for minimal characteristic flows.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Geiges, Hansjoerg UNSPECIFIED UNSPECIFIED UNSPECIFIED Zehmisch, Kai UNSPECIFIED orcid.org/0000-0002-9512-860X UNSPECIFIED
URN:	urn:nbn:de:hbz:38-343699
DOI:	10.1017/etds.2018.60
Journal or Publication Title:	Ergod. Theory Dyn. Syst.
Volume:	40
Number:	3
Page Range:	S. 699 - 714
Date:	2020
Publisher:	CAMBRIDGE UNIV PRESS
Place of Publication:	NEW YORK
ISSN:	1469-4417
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language 1ST STEPS; CONTACT Multiple languages Mathematics, Applied; Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/34369