Virtual Fundamental Chains in Hamiltonian Floer Homology and Symplectic Field Theory
Abstract
We construct a rigorous virtual fundamental chain for Hamiltonian Floer homology over non-monotone symplectic manifolds using polyfold-implicit function theorems and transfinite induction on energy filtration.
Fields of Study & Subjects
Geometric and Algebraic Topology
Quantum chaos and dynamical systems
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 January 2026