Small exotic Stein manifolds

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 23 May 2010Embargo end date: 01 Jan 2010Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Commentarii Mathematici Helvetici, volume 85, pages 705-721 (issn: 0010-2571, eissn: 1420-8946,

Copyright policy )

Authors: Akbulut, Selman; Yasui, Kouichi;

doi: 10.4171/cmh/208 , 10.5169/seals-130676 , 10.48550/arxiv.0807.3815

arXiv: 0807.3815

Small exotic Stein manifolds

- Summary
- Subjects
- Metrics

Abstract

It is known that the only Stein filling of the standard contact structure on S^3 is B^4 . In this paper, we construct pairs of homeomorphic but not diffeomorphic simply connected compact Stein 4 -manifolds, for any Betti number b_2 ≥ 1 ; we do this by enlarging corks and plugs.

Related Organizations

Michigan State University
United States
Kyoto University
Japan

Keywords

Mathematics - Geometric Topology, 57R55, 57R17, 57R65, Mathematics - Symplectic Geometry, FOS: Mathematics, Symplectic Geometry (math.SG), Geometric Topology (math.GT)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	4
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

4

Average

Green

gold

Fields of Science

Fields of Science