4 papers
Dynamics of composite symplectic Dehn twists
Wenmin Gong, Zhijing Wendy Wang, Jinxin Xue
This paper appears as the confluence of hyperbolic dynamics, symplectic topology and low dimensional topology, etc. We show that composite symplectic Dehn twists have certain form…
Local centralizer rigidity for twisted Weyl chamber flows
Zhijing Wendy Wang
We prove local centralizer rigidity results for elements of Weyl chamber flows and twisted Weyl chamber flows on compact homogeneous spaces. For generic elements in the twisted set…
Centralizer Rigidity near Elements of the Weyl Chamber Flow
Zhijing Wendy Wang
In this paper, we prove centralizer rigidity near an element of the Weyl chamber flow on a semisimple Lie group. We show that a volume preserving perturbation of an element of the…
Complexity of Hofer's geometry in higher dimensional manifolds
Zhijing Wendy Wang
This paper establishes robust obstructions to representing Hamiltonian diffeomorphisms as -th powers () or embedding them in flows for certain higher-dimensional sympl…