Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Geiges, Hansjorg UNSPECIFIED UNSPECIFIED UNSPECIFIED Sporbeck, Kevin UNSPECIFIED UNSPECIFIED UNSPECIFIED Zehmisch, Kai UNSPECIFIED orcid.org/0000-0002-9512-860X UNSPECIFIED
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
Uncontrolled Keywords:	Keywords Language Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/57167