Hodge theory for G<sub>2</sub> -manifolds: intermediate Jacobians and Abel-Jacobi maps
Hodge theory for G<sub>2</sub> -manifolds: intermediate Jacobians and Abel-Jacobi maps
We study the moduli space ℳ of torsion-free G2-structures on a fixed compact manifold M7, and define its associated universal intermediate Jacobian 𝒥. We define the Yukawa coupling and relate it to a natural pseudo-Kähler structure on 𝒥. We consider natural Chern-Simons-type functionals, whose critical points give associative and coassociative …