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Topological Quantum Field Theory for Calabi-Yau threefolds and G_2 manifolds

Naichung Conan Leung
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Abstract

We introduce a homology theory whose Euler characteristics counts ASD bundles over four dimensional co-associative submanifolds in (almost) G_2 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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BibTeXRIS

Naichung Conan Leung. 2003-12-27. Topological Quantum Field Theory for Calabi-Yau threefolds and G_2 manifolds. https://arxiv.org/abs/math/0208124

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