Comparison of Spectral Invariants in Lagrangian and Hamiltonian Floer Theory

Jovana Djuretić, Jelena Katić, Darko Milinkovi'c

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 $\omega|_{\pi_2(P,L)}=0$, and $\mu|_{\pi_2(P,L)}=0$. We define a product $HF_*(H)\otimes HF_*(H:L)\to HF_*(H:L)$ and prove subadditivity of invariants with respect to this product.