TORELLI-TYPE THEOREMS FOR GRAVITATIONAL INSTANTONS WITH QUADRATIC VOLUME GROWTH

Gao Chen, Jeff Viaclovsky, Ruobing Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

We prove Torelli-type uniqueness theorems for both ALG* gravitational instantons and ALG gravitational instantons which are of order 2. That is, the periods uniquely characterize these types of gravitational instantons up to diffeomorphism. We define a period mapping P, which we show is surjective in the ALG cases, and has open image in the ALG* cases. We also construct some new degenerations of hyper-Kähler metrics on the K3 surface which exhibit bubbling of ALG* gravitational instantons.

Original languageEnglish (US)
Pages (from-to)227-275
Number of pages49
JournalDuke Mathematical Journal
Volume173
Issue number2
DOIs
StatePublished - 2024

All Science Journal Classification (ASJC) codes

  • General Mathematics

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