Topological Quantum Field Theory for Calabi-Yau threefolds and G2 manifolds
Naichung Conan Leung
Abstract
We introduce a homology theory whose Euler characteristics counts ASD bundles over four dimensional co-associative submanifolds in (almost) G2 manifolds. As a TQFT, in relative situations, we have the Fukaya-Floer category of Lagrangians intersection in the moduli space of special Lagrangian submanifolds in CY threefolds.
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