3 papers
math.SG2026
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…
math.DS2026
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…
math.SG2025
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…