Comparison of spectral invariants in Lagrangian and Hamiltonian Floer theory

Abstract

We compare spectral invariants in periodic orbits and Lagrangian Floer homology case, for a closed symplectic manifold P and its closed Lagrangian submanifolds L, when ω|π2 (P,L) = 0, and µ|π2 (P,L) = 0. We define a product HF*(H) ⊗ HF*(H: L) → HF*(H: L) and prove subadditivity of invariants with respect.