Part I Reviews Colloquium: Electron-Lattice Interaction and Its Impact on High Tc Superconductivity Through a Lattice Darkly: Shedding Light on Electron-Phonon Coupling in the High Tc Cuprates Electron-Phonon Coupling Effects Explored by Inelastic Neutron Scattering Phonon Anomalies and Dynamic Stripes Part II Isotopic Effect Oxygen Isotope Effect in Cuprates Results from Polaron-Induced Superconductivity Oxygen Isotope Effect on the Effective Mass of Carriers from Magnetic Measurements on La(2-x)Sr(x)CuO4 Isotope Effects and Possrble Pairing Mechanism in Optimally Doped Cuprate Superconductors Isotopic Fingerprint of Electron-Phonon Coupling in High-Tc Cuprates Kink Structure in the Electronic Dispersion of High-Tc Superconductors from the Electron-Phonon Interaction Part III Polaron and Bipolaron Theory of High-Temperature Superconductivity in Doped Polar Insulators High-Temperature Superconductivity: the Explanation Polaronic Effect and Its Impact on Tc for Novel Layered Superconducting Systems Part IV Other Evidences Fine Structure in the Tunneling Spectra of Electron-Doped Cuprates: No Coupling to the Magnetic Resonance Mode Identification of the Bulk Pairing Symmetry in High-Temperature Superconductors: Evidence for an Extended s Wave with Eight Line Nodes Part V Effect of Lattice Block Model and Origin of Strong Anisotropy in High Tc Superconductors Index