Geiges, Hansjorg, Sporbeck, Kevin and Zehmisch, Kai ORCID: 0000-0002-9512-860X (2021). Subcritical polarisations of symplectic manifolds have degree one. Arch. Math., 117 (2). S. 227 - 232. BASEL: SPRINGER BASEL AG. ISSN 1420-8938
Full text not available from this repository.Abstract
We show that if the complement of a Donaldson hypersurface in a closed, integral symplectic manifold has the homology of a subcritical Stein manifold, then the hypersurface is of degree one. In particular, this demonstrates a conjecture by Biran and Cieliebak on subcritical polarisations of symplectic manifolds. Our proof is based on a simple homological argument using ideas of Kulkarni-Wood.
Item Type: | Journal Article | ||||||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-571674 | ||||||||||||||||
DOI: | 10.1007/s00013-021-01605-0 | ||||||||||||||||
Journal or Publication Title: | Arch. Math. | ||||||||||||||||
Volume: | 117 | ||||||||||||||||
Number: | 2 | ||||||||||||||||
Page Range: | S. 227 - 232 | ||||||||||||||||
Date: | 2021 | ||||||||||||||||
Publisher: | SPRINGER BASEL AG | ||||||||||||||||
Place of Publication: | BASEL | ||||||||||||||||
ISSN: | 1420-8938 | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
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URI: | http://kups.ub.uni-koeln.de/id/eprint/57167 |
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