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On the generic
behavior of the spectral norm
Erman Çineli, Viktor L. Ginzburg and Başak Z. Gürel |
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Vol. 328 (2024), No. 1, 119–135
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Abstract |
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Our main result is that for any closed symplectic manifold, the spectral norm of the iterates of a Hamiltonian diffeomorphism is locally uniformly bounded away from zero -generically. |
Keywords
spectral norm, periodic points, Hamiltonian
diffeomorphisms, Floer homology
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Mathematical Subject Classification
Primary: 37J11, 37J46, 53D40
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Milestones
Received: 10 October 2023
Revised: 2 February 2024
Accepted: 2 March 2024
Published: 16 April 2024
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Authors |
| Erman Çineli | |
| Institut de Mathématiques de Jussieu
- Paris Rive Gauche (IMJ-PRG) Paris France |
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| Viktor L. Ginzburg | |
| Department of Mathematics University of California, Santa Cruz Santa Cruz, CA United States |
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| Başak Z. Gürel | |
| Department of Mathematics University of Central Florida Orlando, FL United States |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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