The Torelli Theorem for $ALH^*$ Gravitational Instantons
Differential Geometry
2021-11-18 v1 Algebraic Geometry
Abstract
We give a short proof of the Torelli theorem for 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 gravitational instantons.
Cite
@article{arxiv.2111.09260,
title = {The Torelli Theorem for $ALH^*$ Gravitational Instantons},
author = {Tristan Collins and Adam Jacob and Yu-Shen Lin},
journal= {arXiv preprint arXiv:2111.09260},
year = {2021}
}
Comments
14 pages. Comments are welcomed