Gluing G_2-manifolds

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Tezin Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Fen Bilimleri Enstitüsü, Türkiye

Tezin Onay Tarihi: 2018

Öğrenci: MERTCAN SÜKÜT

Danışman: MUSTAFA TURGUT ÖNDER

Özet:

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.