String Bracket and Flat Connections

Hossein Abbaspour, Mahmoud Zeinalian

Let $G\to P\to M$ be a flat principal bundle over a closed and oriented manifold $M$ of dimension $m=2d$. We construct a map of Lie algebras $Ψ: \H_{2\ast} (L M) \to ø(\Mc)$, whe…