Topological Quantum Field Theory for
Calabi-Yau threefolds and G_2 manifolds.
Author: Naichung Conan Leung
( ps , pdf )
 

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.