Essential tori in spaces of symplectic embeddings

@article{Chaidez2021EssentialTI,
  title={Essential tori in spaces of symplectic embeddings},
  author={Julian Chaidez and Mihail Munteanu},
  journal={Algebraic \& Geometric Topology},
  year={2021}
}
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. 

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