Hofer-continuous quasi-morphisms on Liouville manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915519218581504 |
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| author | Zapolsky, Frol |
| author_facet | Zapolsky, Frol |
| contents | We show that, given a complete Liouville manifold, any homogeneous quasi-morphism on its Hamiltonian group, which satisfies a strengthened version of Hofer continuity called stability, must vanish. This partially addresses a conjecture due to L. Polterovich. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23277 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hofer-continuous quasi-morphisms on Liouville manifolds Zapolsky, Frol Symplectic Geometry Functional Analysis 53D99, 46J10 We show that, given a complete Liouville manifold, any homogeneous quasi-morphism on its Hamiltonian group, which satisfies a strengthened version of Hofer continuity called stability, must vanish. This partially addresses a conjecture due to L. Polterovich. |
| title | Hofer-continuous quasi-morphisms on Liouville manifolds |
| topic | Symplectic Geometry Functional Analysis 53D99, 46J10 |
| url | https://arxiv.org/abs/2509.23277 |