4 papers
On Cap-Decorated Floer Persistence modules
Wenmin Gong
For a closed symplectically aspherical manifold, we introduce cap-decorated Floer persistence by refining the action-filtered Hamiltonian Floer persistence module with layers defin…
Persistent Entropy of Floer Persistence Barcodes
Wenmin Gong
Floer persistence barcodes provide a quantitative way to encode action-filtered Floer homology. Inspired by the Shannon entropy of persistence barcodes in topological data analysis…
Degenerate symplectic fixed points and Gromov-Witten invariants
Wenmin Gong
We establish a connection between Gromov-Witten invariants and the number of fixed points of Hamiltonian diffeomorphisms on a closed rational symplectic manifold via deformed Hamil…
Floer homology in the cotangent bundle of a closed Finsler manifold and noncontractible periodic orbits
Wenmin Gong, Jinxin Xue
We show that the existence of noncontractible periodic orbits for compactly supported time-dependent Hamiltonian on the disk cotangent bundle of a Finsler manifold provided that th…