Gluing G2-manifolds

Süküt, Mertcan
In this thesis we give a presentation of some gluing results of G2-manifolds. We concentrate on the gluing method of Kovalev, in which one glues two exponentially asymptotically cylindrical G2-manifolds along their boundaries to obtain a compact G2-manifold. In particular, we present a Hodge theory result of Nordström which he used to give a local diffeomorphism between a certain moduli space of gluing data and the moduli space of torsion-free G2-structures on the glued manifold.
Citation Formats
M. Süküt, “Gluing G2-manifolds,” M.S. - Master of Science, Middle East Technical University, 2018.