Number of fixed points of a Hamiltonian diffeomorphism on a compact symplectic manifold is at least Σ rk H_i(M; F_p). Proved in great generality via Floer homology; the birthplace of symplectic topology’s homological methods.
Number of fixed points of a Hamiltonian diffeomorphism on a compact symplectic manifold is at least Σ rk H_i(M; F_p). Proved in great generality via Floer homology; the birthplace of symplectic topology’s homological methods.