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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.21416 |
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| _version_ | 1866916983510925312 |
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| author | Sun, Yuhan |
| author_facet | Sun, Yuhan |
| contents | For a closed negatively monotone symplectic manifold, we construct quasi-isometric embeddings from the Euclidean spaces to its Hamiltonian diffeomorphism group, assuming it contains an incompressible heavy Lagrangian. We also show the super-heaviness of its skeleton with respect to a Donaldson hypersurface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21416 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectral diameter of negatively monotone manifolds Sun, Yuhan Symplectic Geometry For a closed negatively monotone symplectic manifold, we construct quasi-isometric embeddings from the Euclidean spaces to its Hamiltonian diffeomorphism group, assuming it contains an incompressible heavy Lagrangian. We also show the super-heaviness of its skeleton with respect to a Donaldson hypersurface. |
| title | Spectral diameter of negatively monotone manifolds |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2410.21416 |