Framed bordism and Lagrangian embeddings of exotic spheres

@article{Abouzaid2008FramedBA,
  title={Framed bordism and Lagrangian embeddings of exotic spheres},
  author={M. Abouzaid},
  journal={Annals of Mathematics},
  year={2008},
  volume={175},
  pages={71-185}
}
  • M. Abouzaid
  • Published 2008
  • Mathematics
  • Annals of Mathematics
In dimensions congruent to 1 modulo 4, we prove that the cotangent bundle of an exotic sphere which does not bound a parallelisable manifold is not symplectomorphic to the cotangent bundle of the standard sphere. More precisely, we prove that such an exotic sphere cannot embed as a Lagrangian in the cotangent bundle of the standard sphere. The main ingredients of the construction are (1) the fact that the graph of the Hopf bration embeds the standard sphere, and hence any Lagrangian which… Expand
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