Topological Quantum Field Theory for Calabi-Yau threefolds and G_2 manifolds
Differential Geometry
2014-11-18 v5 High Energy Physics - Theory
Geometric Topology
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.math/0208124,
title = {Topological Quantum Field Theory for Calabi-Yau threefolds and G_2 manifolds},
author = {Naichung Conan Leung},
journal= {arXiv preprint arXiv:math/0208124},
year = {2014}
}
Comments
14 pages. To appear in Adv. Theor. Math. Phys