Steady Gradient Kahler-Ricci Solitons on Crepant Resolutions of Calabi-Yau Cones

Ronan J. Conlon, The University of Texas at Dallas, Richardson, Texas. Alix Deruelle, Universite Paris-Saclay, Orsay, France.

Chapters 1. Introduction 2. Preliminaries 3. Asymptotics of Cao's steady gradient Kahler-Ricci soliton 4. Constructing a background metric and the equation set-up 5. Poincare inequality for steady gradient Ricci solitons 6. Invertibility of the drift Laplacian: Exponential case 7. A priori estimates 8. Invertibility of the drift Laplacian: Polynomial case 9. Proof of Theorem A. The model metric $\hat {g}$