Continuity of extremal transitions and flops for Calabi-Yau manifolds
Continuity of extremal transitions and flops for Calabi-Yau manifolds
In this paper, we study the behavior of Ricci-flat Kähler metrics on Calabi-Yau manifolds under algebraic geometric surgeries: extremal transitions or flops. We prove a version of Candelas and de la Ossa's conjecture: Ricci-flat Calabi-Yau manifolds related by extremal transitions and flops can be connected by a path consisting of …