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Title:
Complete non-compact G2 manifolds
Speaker:
Abstract:
In collaboration with Haskins and Nordström, I have recently given new constructions of infinitely many complete non-compact manifolds with G2 holonomy and AC (asymptotically conical) or ALC (asymptotically locally conical) asymptotic geometry. These constructions were partially motivated by the physical duality between M Theory and Type IIA String Theory and geometric transitions such as the M Theory flop. In this talk I will recall these constructions and discuss the properties of known examples that I understand to be most relevant to physical applications. These include the topology of the manifolds and their ends, the description of their L2 integrable harmonic forms, the existence of different AC G2-manifolds asymptotic to the same G2 cone, and similarities/differences between ALC and AC asymptotics. The examples I will discuss have been obtained in collaboration with Haskins and Nordström and with Acharya-Najjar-Svanes.
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