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arXiv · 1602.03521

Tops as Building Blocks for G2 Manifolds

Andreas P. Braun
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Abstract

A large number of examples of compact $G_2$ manifolds, relevant to supersymmetric compactifications of M-Theory to four dimensions, can be constructed by forming a twisted connected sum of two appropriate building blocks times a circle. These building blocks, which are appropriate $K3$-fibred threefolds, are shown to have a natural and elegant construction in terms of tops, which parallels the construction of Calabi-Yau manifolds via reflexive polytopes.

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Andreas P. Braun. 2017-09-04. Tops as Building Blocks for G2 Manifolds. https://doi.org/10.1007/jhep10(2017)083

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