Quantum Gravity

Section I. Quantum Gravity.- The Problems of General Relativity.- The Loss of Quantum Coherence due to Virtual Black Holes.- Asymptotic Freedom in Renormalizable Gravity and Supergravity.- Pregeometry.- On High-Frequency Background Quantization of Gravity.- Section II. Quantum Effects in Cosmology.- Complete Cosmological Theories.- Particle Production and Dynamics in the Early Universe.- Nonsingular Model of the Universe with the Quantum-Gravitational de Sitter Stage and its Observational Consequences.- Black Holes Evaporation and Big Mass Particle (Maximon, Intermediate Boson) Creation in Nonstationary Universe.- Origin of the Primordial Inhomogeneities of the Universe.- Quantum Fluctuations in Cosmology and Galaxy Formation.- Can de Sitter Spacetime be a Final State of the Contracting Universe?.- A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity,Isotropy and Primordial Monopole Problems.- Self-Consistent Treatment of Vacuum Quantum Effects in Isotropic Cosmology.- Quantum Field Theories with Spontaneous Symmetry Breaking in External Gravitational Fields of Cosmological Type.- Grand Unified Phase Transitions and the Early Universe.- Section III. Quantum Effects in Black Holes.- On the Generalized Second-Law of Thermodynamics.- Towards the Theory of Mini Black Holes with Subplanckian Mass.- Spherically-Symmetric Collapse in Quantum Gravity.- Temperature-Dependent G and Black Hole Thermodynamics.- Vacuum Polarization Near Black Holes.- The Relativity of Vacuum.- Black Hole Evaporations and Their Cosmological Consequences.- Section IV. Supersymmetry.- Geometries Inherent to N = l Supergravity.- Currents in Supersymmetric Theories.- Counterterms in Extended Supergravities.- Divergences and Anomalies in Kaluza-Klein Theories.- Section V. Gauge Theories. Twistors.- Gauge Algebra and Quantization.- Renormalization of General Gauge Theories.- Twistor theory.- The Group of Paths in Gravitation and Gauge Theory.