Duke Mathematical Journal

Symplectic couples on $4$-manifolds

Hansjörg Geiges
Source: Duke Math. J. Volume 85, Number 3 (1996), 701-711.
First Page: Show Hide
Primary Subjects: 53C15
Secondary Subjects: 32J15, 53C25, 57R15, 58F05
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077243448
Mathematical Reviews number (MathSciNet): MR1422363
Zentralblatt MATH identifier: 0869.53019
Digital Object Identifier: doi:10.1215/S0012-7094-96-08527-0

References

[1] W. Barth, C. Peters, and A. Van de Ven, Compact complex surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 4, Springer-Verlag, Berlin, 1984.
Mathematical Reviews (MathSciNet): MR86c:32026
Zentralblatt MATH: 0718.14023
[2] C. P. Boyer, A note on hyper-Hermitian four-manifolds, Proc. Amer. Math. Soc. 102 (1988), no. 1, 157–164.
Mathematical Reviews (MathSciNet): MR89c:53049
Zentralblatt MATH: 0642.53073
Digital Object Identifier: doi:10.2307/2046051
[3] H. Geiges, Symplectic structures on $T\sp 2$-bundles over $T\sp 2$, Duke Math. J. 67 (1992), no. 3, 539–555.
Mathematical Reviews (MathSciNet): MR93i:57036
Zentralblatt MATH: 0763.53037
Digital Object Identifier: doi:10.1215/S0012-7094-92-06721-4
Project Euclid: euclid.dmj/1077294537
[4] H. Geiges, Symplectic manifolds with disconnected boundary of contact type, Internat. Math. Res. Notices (1994), no. 1, 23–30.
Mathematical Reviews (MathSciNet): MR94m:53042
Zentralblatt MATH: 0815.53041
Digital Object Identifier: doi:10.1155/S1073792894000048
[5] H. Geiges and J. Gonzalo, Contact geometry and complex surfaces, Invent. Math. 121 (1995), no. 1, 147–209.
Mathematical Reviews (MathSciNet): MR96e:53039
Zentralblatt MATH: 1002.53501
Digital Object Identifier: doi:10.1007/BF01884294
[6] H. Geiges and J. Gonzalo, Contact circles and tight contact structures on geometric $3$-manifolds, preprint, 1994.
[7] F. Hirzebruch, Topological methods in algebraic geometry, Third enlarged edition. New appendix and translation from the second German edition by R. L. E. Schwarzenberger, with an additional section by A. Borel. Die Grundlehren der Math. Wiss., Band 131, Springer-Verlag New York, Inc., New York, 1966.
Mathematical Reviews (MathSciNet): MR34:2573
Zentralblatt MATH: 0138.42001
[8] N. J. Hitchin, The self-duality equations on a Riemann surface, Proc. London Math. Soc. (3) 55 (1987), no. 1, 59–126.
Mathematical Reviews (MathSciNet): MR89a:32021
Zentralblatt MATH: 0634.53045
Digital Object Identifier: doi:10.1112/plms/s3-55.1.59
[9] L. Hsu, Private communication.
[10] K. Kodaira, On the structure of compact complex analytic surfaces. I, Amer. J. Math. 86 (1964), 751–798.
Mathematical Reviews (MathSciNet): MR32:4708
Zentralblatt MATH: 0137.17501
Digital Object Identifier: doi:10.2307/2373157
[11] C. H. Taubes, More constraints on symplectic forms from Seiberg-Witten invariants, Math. Res. Lett. 2 (1995), no. 1, 9–13.
Mathematical Reviews (MathSciNet): MR96a:57075
Zentralblatt MATH: 0854.57019
[12] M. Ue, Geometric $4$-manifolds in the sense of Thurston and Seifert $4$-manifolds. I, J. Math. Soc. Japan 42 (1990), no. 3, 511–540.
Mathematical Reviews (MathSciNet): MR91k:57023
Zentralblatt MATH: 0707.57010
Digital Object Identifier: doi:10.2969/jmsj/04230511
Project Euclid: euclid.jmsj/1227108527
[13] C. T. C. Wall, Geometric structures on compact complex analytic surfaces, Topology 25 (1986), no. 2, 119–153.
Mathematical Reviews (MathSciNet): MR88d:32038
Zentralblatt MATH: 0602.57014
Digital Object Identifier: doi:10.1016/0040-9383(86)90035-2

2012 © Duke University Press

Duke Mathematical Journal

Duke Mathematical Journal

Turn MathJax Off
What is MathJax?