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Matt Turner: Lectures

January 9, 2023 (jointly with Johannes Nordström)
TITLE: Examples of asymptotically conical G2-instanstons

ABSTRACT: We present examples of G2-instantons with dilation-invariant asymptotics on the “C7” asymptotically conical G2-metric on the anticanonical bundle of CP1 x CP1. The examples have cohomogeneity one which reduces the problem to solving an ordinary differential equation. We find solutions to these equations using a dynamical systems approach. This is joint work with Karsten Matthies.

Slides of Lecture (second part)