3 papers
math.SG2019
Rigid fibers of spinning tops
Morimichi Kawasaki, Ryuma Orita
(Non-)displaceability of fibers of integrable systems has been an important problem in symplectic geometry. In this paper, for a large class of classical Liouville integrable syste…
math.SG2019
Disjoint superheavy subsets and fragmentation norms
Morimichi Kawasaki, Ryuma Orita
We present a lower bound for a fragmentation norm and construct a bi-Lipschitz embedding with respect to the fragmentation norm on the grou…
math.SG2019
Existence of pseudo-heavy fibers of moment maps
Morimichi Kawasaki, Ryuma Orita
In the present paper, we introduce the notion of pseudo-heaviness of closed subsets of closed symplectic manifolds and prove the existence of pseudo-heavy fibers of moment maps. In…