Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Mobile Device Pairing
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Branched covers along real parts

Author(s): Shuguang Wang
Journal: Proc. Amer. Math. Soc. 125 (1997), 2803-2808.
MSC (1991): Primary 57R55, 57R57, 57N13; Secondary 14P25
MathSciNet review: 1401756
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: It is shown that the double cover of a Kähler surface branched along the fixed point set of an anti-holomorphic involution admits a symplectic structure.


References:

1.
S. Akbulut, On quotients of complex surfaces under complex conjugation, J. Reine Angew. Math. 447 (1994), 83-90. MR 95c:57030

2.
V. Arnold, On the location of ovals of real algebraic plane curves, involutions on 4-dimensional smooth manifolds, and the arithmetic of integral quadratic forms, Funct. Analy. Appl. 5 (1971), 1-9. MR 44:3999

3.
W. Barth, C. Peters and A. Van de Ven, Compact complex surfaces, Springer-Verlag Berlin Heidelberg, 1984. MR 86c:32026

4.
S. Donaldson, Yang-Mills invariants of four-manifolds, In Geometry of low-dimensional manifolds. Vol 1, pp 5-41. S.K. Donaldson and C.B. Thomas Eds., Cambridge University Press, 1990. MR 93f:57040

5.
A. Edmonds, Orientability of fixed point sets, Proc. Amer. Math. Soc. 82 (1981), 120-125. MR 82h:57032

6.
R. Gompf, A new construction of symplectic manifolds, Ann. Math. 142 (1995), 527-595. MR 96g:57025

7.
S. Finashin, Decomposability of quotients by complex conjugation for complete intersection surfaces, Revista Mat. Univ. Comp. Madrid (to appear).

8.
R. Friedman and J. Morgan, Algebraic surfaces and Seiberg-Witten invariants, Preprint (1995).

9.
D. Kotschick, On irreducible four-manifolds, Preprint (1995).

10.
P. Kronheimer and T. Mrowka, The genus of embedded surfaces in the projective plane, Math. Res. Letters 1 (1994), 797-808. MR 96a:57073

11.
D. McDuff, Examples of simply-connected symplectic non-Kählerian manifolds, J. Diff. Geom. 20 (1984), 267-277. MR 86c:57036

12.
J. Morgan, Z. Szabo and C. Taubes, A product formula for the Seiberg-Witten invariants and the generalized Thom conjecture, Preprint (1995).

13.
Y. Ruan, Virtual neighborhoods and monopole equations, Preprint (1996).

14.
C. Taubes, The Seiberg-Witten invariants and symplectic forms, Math. Research Letters 1 (1994), 809-822. MR 95j:57039

15.
W. Thurston, Some simple examples of symplectic manifolds, Proc. Amer. Math. Soc. 55 (1976), 467-469. MR 53:6578

16.
O. Viro, Construction of M-surfaces, Funct. Analy. Appl. 13 (1979), 212-213. MR 80j:14034

17.
-, Complex orientations of real algebraic surfaces, Topology of manifolds and varieties, Ed. O. Viro. Advances in Soviet Mathematics, Vol 18. Published by American Mathematical Society. (1994), 261-284. MR 96f:14068

18.
S. Wang, A vanishing theorem for Seiberg-Witten invariants, Math. Res. Letters 2 (1995), 305-310.

19.
G. Wilson, On Hilbert sixteenth problem, Topology 17 (1978), 53-73. MR 58:16684


Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 57R55, 57R57, 57N13, 14P25

Retrieve articles in all Journals with MSC (1991): 57R55, 57R57, 57N13, 14P25


Additional Information:

Shuguang Wang
Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
Email: sw@wang.math.missouri.edu

DOI: 10.1090/S0002-9939-97-03935-X
PII: S 0002-9939(97)03935-X
Keywords: Branched cover, real part, symplectic structure
Received by editor(s): March 22, 1996
Received by editor(s) in revised form: April 30, 1996
Communicated by: Ronald A. Fintushel
Copyright of article: Copyright 1997, American Mathematical Society




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia