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math.SG2026
Semitoric Families on Pentagon Spaces
Yichen Liu, Aerim Si
Semitoric systems are a special type of 4-dimensional integrable system where one of the functions is the moment map of a Hamiltonian -action. While their classification is we…
math.SG2024
A Lower Bound of the Hofer-Zehnder Capacity via Delzant Polytopes
Yichen Liu
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 be…