Published May 2014
| Version Published + Submitted
Journal Article
Open
Geography and botany of irreducible non-spin symplectic 4-manifolds with abelian fundamental group
Abstract
The geography and botany problems of irreducible non-spin symplectic 4-manifolds with a choice of fundamental group from {ℤp,ℤp⊕ℤq,ℤ,ℤ⊕ℤp,ℤ⊕ℤ} are studied by building upon the recent progress obtained on the simply connected realm. Results on the botany of simply connected 4-manifolds not available in the literature are extended.
Additional Information
© 2013 Glasgow Mathematical Journal Trust. Received 27 August 2012; revised 5 March 2013; accepted 22 May 2013; first published online 13 August 2013. The author thanks I. Baykur for suggesting the problem, and M. Marcolli and P. Kirk for their encouragement and support. The author thanks A. Akhmedov, S. Baldridge, D. Calegari, R. Fintushel, I. Hambleton, M. Kreck, B. D. Park, R. J. Stern and the referees for comments on an earlier version of this paper. We thank the math department at Caltech, the math department at the State University of Florida and are especially thankful to the Max-Planck Institut für Mathematik, Bonn for their warm hospitality and excellent working conditions. This work was supported by an TMPRS scholarship from the Max-Planck Society.Attached Files
Published - Torres_2014p261.pdf
Submitted - 0903.5503v3.pdf
Files
0903.5503v3.pdf
Additional details
Additional titles
- Alternative title
- On the geography and botany of irreducible nonspin 4-manifolds with abelian fundamental group
Identifiers
- Eprint ID
- 46204
- Resolver ID
- CaltechAUTHORS:20140611-110058821
Related works
- Describes
- http://arxiv.org/abs/0903.5503 (URL)
Funding
- Max-Planck Society TMPRS scholarship
Dates
- Created
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2014-06-11Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field