Spectral diameter of negatively monotone manifolds
Symplectic Geometry
2025-10-03 v2
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.
Keywords
Cite
@article{arxiv.2410.21416,
title = {Spectral diameter of negatively monotone manifolds},
author = {Yuhan Sun},
journal= {arXiv preprint arXiv:2410.21416},
year = {2025}
}
Comments
Expanded explanations and small correction; accepted for Journal of Symplectic Geometry