Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Almost complex rigidity of the complex projective plane

Author: Benjamin McKay
Journal: Proc. Amer. Math. Soc. 135 (2007), 597-603
MSC (2000): Primary 57R17, 51A10; Secondary 14N05
Published electronically: August 8, 2006
MathSciNet review: 2255307
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: An isomorphism of symplectically tame smooth pseudocomplex structures on the complex projective plane which is a homeomorphism and differentiable of full rank at two points is smooth.

References [Enhancements On Off] (What's this?)

  • 1. B. Coupet, H. Gaussier, and A. Sukhov, Riemann maps in almost complex manifolds, arXiv:math.CV/0307332, July 2003.
  • 2. J. J. Duistermaat, On first order elliptic equations for sections of complex line bundles, Compositio Math. 25 (1972), 237-243. MR 0367476 (51:3718)
  • 3. Mikhael Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), no. 2, 307-347. MR 0809718 (87j:53053)
  • 4. Benjamin McKay, Duality and integrable systems of pseudoholomorphic curves, Ph.D. thesis, Duke University, Durham, N.C., 1999.
  • 5. -, Dual curves and pseudoholomorphic curves, Selecta Math. (N.S.) 9 (2003), no. 2, 251-311. MR 1993485 (2004g:53099)
  • 6. Helmut Salzmann, Dieter Betten, Theo Grundhöfer, Hermann Hähl, Rainer Löwen, and Markus Stroppel, Compact projective planes, de Gruyter Expositions in Mathematics, vol. 21, Walter de Gruyter & Co., Berlin, 1995, with an introduction to octonion geometry. MR 1384300 (97b:51009)
  • 7. Clifford Henry Taubes, The Seiberg-Witten and Gromov invariants, Math. Res. Lett. 2 (1995), no. 2, 221-238. MR 1324704 (96a:57076)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 57R17, 51A10, 14N05

Retrieve articles in all journals with MSC (2000): 57R17, 51A10, 14N05

Additional Information

Benjamin McKay
Affiliation: School of Mathematical Sciences, University College Cork, Cork, Ireland

Received by editor(s): April 2, 2004
Received by editor(s) in revised form: September 2, 2005
Published electronically: August 8, 2006
Additional Notes: This work was supported in full or in part by a grant from the University of South Florida St. Petersburg New Investigator Research Grant Fund. This support does not necessarily imply endorsement by the University of research conclusions.
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

American Mathematical Society