On rational loop homology of some fibrations (Q6114147)

The main contribution of the authors is to propose a technique to compute the rational loop homology of $X$ in the special case of a fibration $F\to X\to Y$, where $X$, $Y$ and $F$ are simply connected compact manifolds. The loop bracket of \(X\) is computed when the underlying graded vector spaces of the minimal Sullivan models of $Y$ and $F$ are both finite dimensional.