Geometric Analysis Seminar

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"A new construction of compact $G_2$ manifolds by glueing Eguchi-Hanson spaces, Part IV: The Correction Theorem"

We give the details of the "correction theorem" that allow us to produce the closed pair $(\tilde \varphi, \tilde \psi)$ on the Eguchi-Hanson bundle with sufficiently small torsion. The proof involves several steps, including the Lockhart-McOwen theory of elliptic operators on weighted Sobolev spaces in the asymptotically locally Euclidean category.

MC 5479