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 language | English (US) |
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Pages (from-to) | 227-275 |
Number of pages | 49 |
Journal | Duke Mathematical Journal |
Volume | 173 |
Issue number | 2 |
DOIs | |
State | Published - 2024 |
All Science Journal Classification (ASJC) codes
- General Mathematics