Prof. Ryosuke TAKAHASHI (Department of Mathematics, National Cheng Kung University)
Title
COLLAPSING OF ALH∗-INSTANTONS
Abstract
Gravitational instantons are important objects in mathematical physics. The concept was introduced by S. Hawking. Then were later defined rigorously as Ricci-flat, complete, noncompact 4-manifolds. In this talk, we will review some results of gravitational instantons. Then we will focus on one specific type: ALH∗-instantons and prove the collapsing of their limit. This is joint work with Yu-Shen Lin.