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arXiv · 2012.04627

On the embedding complexity of Liouville manifolds

Sheel Ganatra·Kyler Siegel
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Abstract

We define a family of symplectic invariants which obstruct exact symplectic embeddings between Liouville manifolds, using the general formalism of linearized contact homology and its L-infinity structure. As our primary application, we investigate embeddings between normal crossing divisor complements in complex projective space, giving a complete characterization in many cases. Our main embedding results are deduced explicitly from pseudoholomorphic curves, without appealing to Hamiltonian or virtual perturbations.

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Sheel Ganatra, Kyler Siegel. 2020-12-08. On the embedding complexity of Liouville manifolds. https://arxiv.org/abs/2012.04627

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