All ALH* Gravitational Instantons as the Moduli Space of Doubly Periodic Monopoles
Mathematical Physics and Probability Seminar
All ALH* Gravitational Instantons as the Moduli Space of Doubly Periodic Monopoles
Series: Mathematical Physics and Probability Seminar
Location: MATH 402
Presenter: Thomas Harris, University of Arizona
Gravitational Instantons are Riemannian solutions of the Einstein Field Equations from General Relativity. ALH* Gravitational Instantons are ones such that the asymptotic volume growth of balls of radius R approaches R^{4/3}. Thanks to recent work in 2021, all ALH* gravitational instantons were classified by Hein, Sun, Viaclovsky, Zhang. They fall into types by their intersection form, $E_0, E_1 \ldots, E_6, E_7, E_8$. Cherkis and Cross showed that the $E_0, E_1, \ldots E_6$ case arise from Doubly Periodic Monopoles. My work is in completing this to the $E_7$ and $E_8$ case.
(zoom link: https://arizona.zoom.us/j/81196695512)