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

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.

arXiv comment14 pages. To appear in Adv. Theor. Math. Phys

Cited by in corpus (1)

• Residues and World-Sheet Instantons