Corpus ID: 84844774

Essential tori in spaces of symplectic embeddings

@article{Chaidez2019EssentialTI,
  title={Essential tori in spaces of symplectic embeddings},
  author={Julian Chaidez and M. Munteanu},
  journal={arXiv: Symplectic Geometry},
  year={2019}
}
Given two $2n$--dimensional symplectic ellipsoids whose symplectic sizes satisfy certain inequalities, we show that a certain map from the $n$--torus to the space of symplectic embeddings from one ellipsoid to the other induces an injective map on singular homology with mod $2$ coefficients. The proof uses parametrized moduli spaces of $J$--holomorphic cylinders in completed symplectic cobordisms. 

References

SHOWING 1-10 OF 25 REFERENCES
Noncontractible loops of symplectic embeddings between convex toric domains.
  • 2
  • PDF
Symplectic embeddings of products
  • 21
  • PDF
Introduction to Symplectic Topology
  • 1,379
  • PDF
The Hofer conjecture on embedding symplectic ellipsoids
  • 66
  • PDF
Lectures on Symplectic Field Theory
  • 37
  • PDF
Pseudo holomorphic curves in symplectic manifolds
  • 2,061
  • PDF
...
1
2
3
...