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arXiv · 2410.21416

Spectral diameter of negatively monotone manifolds

Yuhan Sun
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Abstract

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.

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Yuhan Sun. 2024-10-28. Spectral diameter of negatively monotone manifolds. https://arxiv.org/abs/2410.21416

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