Gluing G2-manifolds

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2018

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Süküt, Mertcan

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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.

Subject Keywords

Manifolds (Mathematics)., Holonomy groups.

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http://etd.lib.metu.edu.tr/upload/12622349/index.pdf
https://hdl.handle.net/11511/27563

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

M. Süküt, “Gluing G2-manifolds,” M.S. - Master of Science, Middle East Technical University, 2018.