Zobrazeno 1 - 10
of 33 855
pro vyhledávání: '"Hofer, P."'
We prove that autonomous Hamiltonian flows on the two-sphere exhibit the following dichotomy: the Hofer norm either grows linearly or is bounded in time by a universal constant C. Our approach involves a new technique, Hamiltonian symmetrization. Ess
Externí odkaz:
http://arxiv.org/abs/2408.08854
Autor:
Shi, Kun
In this paper, we give some estimations for Ekeland-Hofer-Zehnder capacities of lagrangian products with special forms through combinatorial formulas. Based on these estimations, we give some interesting corollaries.
Comment: 6pages
Comment: 6pages
Externí odkaz:
http://arxiv.org/abs/2405.18067
Autor:
Morabito, Francesco, Trifa, Ibrahim
Given a pre-monotone Lagrangian link, we obtain Hofer energy estimates for Hamiltonian diffeomorphisms preserving it. Such estimates depend on the braid type of the Hamiltonian diffeomorphism only, and the natural language to talk about this phenomen
Externí odkaz:
http://arxiv.org/abs/2404.01052
Autor:
Bimmermann, Johanna, Maier, Levin
We compute the Hofer-Zehnder capacity of disk tangent bundles of certain lens spaces with respect to the round metric. Interestingly we find that the Hofer-Zehnder capacity does not see the covering, i.e. the capacity of the disk tangent bundle of th
Externí odkaz:
http://arxiv.org/abs/2403.06761
Autor:
Dawid, Adrian
Let $L_0,L_1,L_2 \subset M$ be exact Lagrangian spheres in a Liouville domain $M$ with $2c_1(M)=0$. If $L_0,L_1,L_2$ are in an $A_3$-configuration, we show that $\mathscr{L}(L_0)$ and $\mathscr{L}(L_2)$ when endowed with the Hofer metric contain quas
Externí odkaz:
http://arxiv.org/abs/2402.16773
Akademický článek
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Autor:
Liu, Yichen
Given a symplectic toric manifold, the moment maps of sub-circle actions can be modified to be admissible functions in the sense of Hofer-Zehnder. By exploiting the relationship between the period of Hamiltonian sub-circle actions of a symplectic tor
Externí odkaz:
http://arxiv.org/abs/2312.09526
Autor:
Bimmermann, Johanna
We compute the Hofer-Zehnder capacity of magnetic disc tangent bundles over constant curvature surfaces. We use the fact that the magnetic geodesic flow is totally periodic and can be reparametrized to obtain a Hamiltonian circle action. The oscillat
Externí odkaz:
http://arxiv.org/abs/2311.00467
Autor:
Cant, Dylan
This paper constructs a persistence module of Floer cohomology groups associated to a contactomorphism of the ideal boundary of a Liouville manifold. The barcode (or, bottleneck) distance between the persistence modules is bounded from above by Shelu
Externí odkaz:
http://arxiv.org/abs/2309.00529
Autor:
Atallah, Marcelo S., Lou, Han
We show that, on a closed semipositive symplectic manifold with semisimple quantum homology, any Hamiltonian diffeomorphism possessing more contractible fixed points, counted homologically, than the total Betti number of the manifold, must have infin
Externí odkaz:
http://arxiv.org/abs/2309.13791