6 citations · 16 across the 12 of their papers we have counts for
13 papers
Two degenerate intersections of Clifford tori in and
Wenmin Gong
We construct smooth time-periodic Hamiltonians on the monotone manifolds and for which the Clifford torus meets its Hamiltonian image in exactly two…
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…
The unbounded Lagrangian spectral norm and wrapped Floer cohomology
Wenmin Gong
We investigate the question of whether the spectral metric on the orbit space of a fiber in the disk cotangent bundle of a closed manifold, under the action of the compactly suppor…
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…
A short proof of cuplength estimates on Lagrangian intersections
Wenmin Gong
In this note we give a short proof of Arnold's conjecture for the zero section of a cotangent bundle of a closed manifold. The proof is based on some basic properties of Lagrangian…
Lagrangian intersections and a conjecture of Arnol'd
Wenmin Gong
We prove a degenerate homological Arnol'd conjecture on Lagrangian intersections beyond the case studied by A. Floer and H. Hofer via a new version of Lagrangian Ljusternik--Schnir…
Minimax periodic orbits of convex Lagrangian systems on complete Riemannian manifolds
Wenmin Gong
In this paper we study the existence of periodic orbits with prescribed energy levels of convex Lagrangian systems on complete Riemannian manifolds. We extend the existence results…
Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds
Wenmin Gong
In this paper we study the existence and multiplicity of periodic orbits of exact magnetic flows with energy levels above the Mañé critical value of the universal cover on a non-co…
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…
Symplectic deformations of Floer homology and non-contractible periodic orbits in twisted disc bundles
Wenmin Gong
In this paper we establish the existence of periodic orbits belonging to any -atoroidal free homotopy class for Hamiltonian systems in the twisted disc bundle, provided that the…
Existence results for coupled Dirac systems via Rabinowitz-Floer theory
Wenmin Gong, Guangcun Lu
In this paper, we construct the Rabinowitz-Floer homology for the coupled Dirac system \begin{equation*} \left\{ \begin{aligned} Du=\frac{\partial H}{\partial v}(x,u,v)\hspace{4mm}…