2 citations · 8 across the 8 of their papers we have counts for
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Orbifold Mapping Spaces via Bibundles
Yoshihiro Sugimoto
The existence of orbifold structures on mapping spaces between orbifolds was established in previous work, notably by W. Chen and B. Chen-Du-Liao. In this paper, we construct an in…
Homological Lagrangian monodromy and Wang exact sequence
Yoshihiro Sugimoto
In this paper, we study homological monodromy of a Lagrangian submanifold. We prove that homological Lagrangian monodromy is trivial if Hofer energy of a Hamiltonian isotopy is sma…
No -recurrence of iterations of symplectomorphisms
Yoshihiro Sugimoto
In this article, we study the behavior of iterations of symplectomorphisms and Hamiltonian diffeomorphisms on symplectic manifolds. We prove that symplectomorphisms and Hamiltonian…
On the generic Conley conjecture
Yoshihiro Sugimoto
In this paper, we treat an open problem related to the number of periodic orbits of Hamiltonian diffeomorphisms on closed symplectic manifolds, so-called generic Conley conjecture.…
On the Hofer-Zehnder conjecture for non-contractible periodic orbits in Hamiltonian dynamics
Yoshihiro Sugimoto
In this paper, we treat an open problem related to the number of periodic orbits of Hamiltonian diffeomorphisms on closed symplectic manifolds. Hofer-Zehnder conjecture states that…
A Comparison between Hofer's metric and C^1-topology
Yoshihiro Sugimoto
Hofer's metric is a bi-invariant metric on Hamiltonian diffeomorphism groups. Our main result shows that the topology induced from Hofer's metric is weaker than C^1-topology if the…
The sharp energy-capacity inequality on convex symplectic manifolds
Yoshihiro Sugimoto
In symplectic geometry, symplectic invariants are useful tools in studying symplectic phenomena. Hofer-Zehnder capacity and displacement energy are important symplectic invariants.…
Spectral spread and non-autonomous Hamiltonian diffeomorphisms
Yoshihiro Sugimoto
For any symplectic manifold, Hamiltonian diffeomorphism group contains a subset which consists of times one flows of autonomous(time-independent) Hamiltonian vector fields. Poltero…