On the embedding complexity of Liouville manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866929324171460608 |
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| author | Ganatra, Sheel Siegel, Kyler |
| author_facet | Ganatra, Sheel Siegel, Kyler |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_04627 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the embedding complexity of Liouville manifolds Ganatra, Sheel Siegel, Kyler Symplectic Geometry 53Dxx 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. |
| title | On the embedding complexity of Liouville manifolds |
| topic | Symplectic Geometry 53Dxx |
| url | https://arxiv.org/abs/2012.04627 |