Almost complex rigidity of the complex projective plane

McKay, Benjamin

doi:10.1090/S0002-9939-06-08492-9

Almost complex rigidity of the complex projective plane
HTML articles powered by AMS MathViewer

by Benjamin McKay

Proc. Amer. Math. Soc. 135 (2007), 597-603

DOI: https://doi.org/10.1090/S0002-9939-06-08492-9

Published electronically: August 8, 2006

PDF | Request permission

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

B. Coupet, H. Gaussier, and A. Sukhov, Riemann maps in almost complex manifolds, arXiv:math.CV/0307332, July 2003.
J. J. Duistermaat, On first order elliptic equations for sections of complex line bundles, Compositio Math. 25 (1972), 237–243. MR 367476
M. Gromov, Pseudo holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), no. 2, 307–347. MR 809718, DOI 10.1007/BF01388806
Benjamin McKay, Duality and integrable systems of pseudoholomorphic curves, Ph.D. thesis, Duke University, Durham, N.C., 1999.
Benjamin McKay, Dual curves and pseudoholomorphic curves, Selecta Math. (N.S.) 9 (2003), no. 2, 251–311. MR 1993485, DOI 10.1007/s00029-003-0304-z
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, DOI 10.1515/9783110876833
Clifford Henry Taubes, The Seiberg-Witten and Gromov invariants, Math. Res. Lett. 2 (1995), no. 2, 221–238. MR 1324704, DOI 10.4310/MRL.1995.v2.n2.a10