Spiro Karigiannis, Department of Pure Mathematics University of Waterloo
“A new construction of compact G2 manifolds by glueing Eguchi-Hanson spaces, Part II.B: Modifying the identification with the normal bundle”
We continue where we left off last time, describing how to modify the connection on the nor- mal bundle and the exponential map in order to create a closed G2 structure with sufficiently small torsion to apply Joyce’s theorem in the middle glueing region, namely the tubular neigh- bourhood of the zero section. If time permits we will discuss the next major component of the construction, namely the fibre-wise blow up of the orbifold to obtain a family of topologically Eguchi-Hanson spaces.
MC 5479