THE SYMPLECTIC TOPOLOGY OF RAMANUJAM'S SURFACE

@article{Seidel2004THEST,
  title={THE SYMPLECTIC TOPOLOGY OF RAMANUJAM'S SURFACE},
  author={Paul Seidel and Ivan Smith},
  journal={Commentarii Mathematici Helvetici},
  year={2004},
  volume={80},
  pages={859-881}
}
  • P. Seidel, I. Smith
  • Published 26 November 2004
  • Mathematics
  • Commentarii Mathematici Helvetici
Ramanujam's surface $M$ is a contractible affine algebraic surface which is not homeomorphic to the affine plane. For any $m>1$ the product $M^m$ is diffeomorphic to Euclidean space ${mathbb R}^{4m}$. We show that, for every $m>0$, $M^m$ cannot be symplectically embedded into a subcritical Stein manifold. This gives the first examples of exotic symplectic structures on Euclidean space which are convex at infinity. It follows that any exhausting plurisubharmonic Morse function on $M^m$ has at… 

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