From
The Future of Theoretical Physics and Cosmology
Celebrating Stephen Hawking's Contributions to Physics
Cambridge University Press
Fay Dowker:
Topology Change in Quantum Gravity
(See section 5: "Progress on the Borde-Sorkin conjecture")
Alex Vilenkin:
Quantum Cosmology and Eternal Inflation
(Section~VII is based several of our joint papers)
Alan Guth:
Inflation and cosmological perturbations
(Section V is on the BGV theorem)