uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
On symplectic uniruling of Hamiltonian fibrations
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
2012 (English)In: Algebraic and Geometric Topology, ISSN 1472-2747, E-ISSN 1472-2739, Vol. 12, no 2, 1145-1163 p.Article in journal (Refereed) Published
Abstract [en]

Under certain conditions of technical order, we show that closed connected Hamiltonian fibrations over symplectically uniruled manifolds are also symplectically uniruled. As a consequence, we partially extend to nontrivial Hamiltonian fibrations a result of Lu [14], stating that any trivial symplectic product of two closed symplectic manifolds with one of them being symplectically uniruled verifies the Weinstein Conjecture for closed separating hypersurfaces of contact type. The proof of our result is based on the product formula for Gromov-Witten invariants of Hamiltonian fibrations derived by the author in [5].

Place, publisher, year, edition, pages
2012. Vol. 12, no 2, 1145-1163 p.
National Category
URN: urn:nbn:se:uu:diva-177639DOI: 10.2140/agt.2012.12.1145ISI: 000305353700018OAI: oai:DiVA.org:uu-177639DiVA: diva2:541379
Available from: 2012-07-17 Created: 2012-07-17 Last updated: 2013-03-04Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Hyvrier, Clément
By organisation
Algebra and Geometry
In the same journal
Algebraic and Geometric Topology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 201 hits
ReferencesLink to record
Permanent link

Direct link