The Torelli Theorem for $AL{H}^{\ast }$ Gravitational Instantons

Abstract

We give a short proof of the Torelli theorem for $AL{H}^{\ast }$ gravitational instantons, using the authors' previous construction of mirror special Lagrangian fibrations in del Pezzo surfaces and rational elliptic surfaces together with recent work of Sun-Zhang. In particular, this includes an identification of 10 diffeomorphism types of $AL{H}_b^{\ast }$ gravitational instantons.

14 pages. Comments are welcomed

References in corpus (1)

• Gravitational instantons with quadratic volume growth